Eenadu Mock Engineering

www.eenadupratibha.netE

Code E 2015 A

Space for rough work

ex - e-x1. The inverse of the function f : R {x R / x < 1} given by f(x) = isex + e-x

ex - e-xf : R {x R / x < 1} Ey-*--i v f(x) = \ N ex + e-x

v

1 1 + x 1 2 + x(1) loge (2) loge 2 1 - x 2 2 - x1 1 - x 1 2 - x(3) loge (4) loge 2 1 + x 2 2 + x

2. The domain of the function f(x) = x - 1 + 2 3 - x v f(x) = x - 1 + 2 3 - x \ v(1) [-3, -1] (2) [1, 3] (3) [-1, 3] (4) [-3, 1]

3. 12 + 32 + 52 + ........... + (2n - 1)2 =n(4n2 - 1) n(4n2 + 1) n(4n2 - 1) n(4n2 + 1)(1) (2) (3) (4) 6 3 3 6

4. What is the coefficient of x5 in the expansion of (1 + x)21 + (1 + x)22 + (1 + x)23 +......... + (1 + x)30(1 + x)21 + (1 + x)22 + (1 + x)23 + ......... + (1 + x)30 Nh-- x5 \ (1) 51C5 (2) 31C5 - 21C5(3) 31C6 + 21C6 (4) 31C6 - 21C6

MATHEMATICS

www.

eena

dupr

atibh

a.net

ECode E 2015 Awww.eenadupratibha.net


15. If in the expansion of (ax2 + )11 the coefficient of x7 is equal to the bx1

coefficient of x-7 in the expansion of (ax - )11, then ab =bx21 1(ax2 + )11 Nh-- x7 (ax - )11 Nh-- x-7 E bx bx2

--i ab =

(1) 1 (2) -1 (3) 0 (4) 2

1 -1 1 1

4 2 26. Let A = [ 2 1 -3] and B = [ -5 0 ]. If B is the inverse of 1 1 1 10 1 -2 3

matrix A, then the value of

1 -1 1 1

4 2 2A = [ 2 1 -3], B = [-5 0 ]. B vA A N vA N1 1 1 10 1 -2 3(1) -2 (2) -1 (3) 5 (4) 2

7. If A is a non-singular matrix of order 3, then adj (adj A) equal toA C 3 -A - vA adj (adj A) E ?(1) A3A (2) AA (3) A4A (4) A2A

www.

eena

dupr

atibh

a.net



8. If , , are the roots of px3 + qx2 + r = 0, then the value of the determinant is

px3 + qx2 + r = 0 \ , , , El- N (1) 0 (2) p (3) q (4) r

1 1 1 19. If Z1 = Z2 = Z3 = ......... = Zn = + + + ......... + Z1 Z2 Z3 Zn= 1, then Z1 + Z2 + Z3 + ......... + Zn =Where Z1, Z2, Z3, ........, Zn are complex numbers.

Z1, Z2, Z3, ........ Zn g u.

1 1 1 1Z1 = Z2 = Z3 = ......... = Zn = + + + ......... + Z1 Z2 Z3 Zn= 1 -- Z1 + Z2 + Z3 + ......... + Zn =

1(1) 0 (2) 1 (3) (4) nn

www.

eena

dupr

atibh

a.net



10. If n is a positive integer and (1 + i)n + (1 - i)n = 2n + 22 cos x, then x =

n --g, (1 + i)n + (1 - i)n = 2n + 22 cos x , x =

n n n n(1) (2) (3) (4) 6 3 4 211. If and are the roots of x2 - 2x + 4 = 0, then n - n =

, x2 - 2x + 4 = 0 j n - n =n n(1) 2n + 1 i cos (2) 2n - 1 i sin 3 3n n(3) 2n - 1 i cos (4) 2n + 1 i sin 3 3

1 - i12. If Z = , then Arg Z =1 + i1 - iZ = Arg Z =1 + i

3 3 (1) (2) (3) (4) 4 2 2 413. Let (, ), (, ) and (, ) be the roots of the equations x2 + px + qr = 0,

x2 + qx + rp = 0, x2 + rx + pq = 0 respectively. Then the product of their commonroots () is equal to(, ), (, ), (, ) - x2 + px + qr = 0, x2 + qx + rp = 0, x2+ rx + pq = 0O- j t l () E ?(1) p2q2r2 (2) pqr (3) 2pqr (4) 3pqrww

w.ee

nadu

prati

bha.n

et



14. If , are the roots of x2 + px - q = 0 and , are the roots of x2 - px + q = 0,then ( + )( + ) equal to, x2 + px - q = 0 ; , x2 - px + q = 0 j ( + )( + ) E?

(1) 2p (2) p + q (3) 2q (4) p - qx2 + 14x + 915. If x is real and p q, then (p, q) =x2 + 2x + 3

x2 + 14x + 9p q x h- -u (p, q) =

x2 + 2x + 3

(1) (4, 5) (2) (4, 5) (3) (5, 4) (4) (5, 4)

16.. The equation whose roots are the squares of the roots of x3 + 3x2 - 7x + 6 = 0 is

x3 + 3x2 - 7x + 6 = 0 _ - -- O--

(1) x3 - 23x2 + 13x - 36 = 0 (2) x3 + 23x2 - 13x - 36 = 0(3) x3 + 23x2 + 13x + 36 = 0 (4) x3 - 23x2 - 13x + 36 = 0

x2 + 1 Ax + B Cx + D17. If = + , then () k =

x4 + x2 + 1 x2 + x + 1 x2 + kx + 1

(1) 1 (2) -1 (3) 0 (4) 2

www.

eena

dupr

atibh

a.net



18. Let A be a set of n 3 distinct elements. The number of triplets (x, y, z) of the elements of A3 in which atleast two co-ordinates are equal are

NA A n 3 NGo - o. A3 E x F Ej (x, y, z) vA u(1) nP3

(2) n2 - nP3(3) 3n2 - 2n (4) 3n2(n - 1)

19. If a polygon of n sides has 275 diagonals then n =

'n' -o --> g u 275 n =

(1) 25 (2) 35 (3) 20 (4) 1520. If cos ( - ) = a and cos ( - ) = b, then the value of

sin2 ( - ) + 2ab cos ( - )cos ( - ) = a, cos( - ) = b sin2 ( - ) + 2ab cos ( - ) N(1) a2 - b2 (2) a2 + b2 (3) -(a2 + b2) (4) b2 - a2

3 + 3 3 - 121. If in a triangle ABC sin A sin B sin C = , cos A cos B cos C = 8 8then the value of tan A tan B tan C

3 + 3 3 - 1 vA ABC sin A sin B sin C = , cos A cos B cos C = 8 8

tan A tan B tan C N

(1) 3 (2 - 3 ) (2) 2 + 3 (3) 3 (2 + 3 ) (4) 2 - 3

www.

eena

dupr

atibh

a.net



22. The maximum value of 5 cos + 3 cos ( + ) + 33

5 cos + 3 cos ( + ) + 3 \ Je N3(1) 11 (2) 5 (3) 3 (4) 10

3 5223. It is given that (sin-1 x) cos-1 (-) = . Which one of the following is not 2 36

correct?

3 52(sin-1 x) cos-1 (- ) = h, C- J--EC C?2 361 1

2(1) (sin-1 x)2 = [cos-1 ()]9 2

1 3 (2) sin-1 x = cos-1 (-)5 23 (3) sin-1 x + cos-1 () = 2 31 (4) sin-1x - cos-1 () 02

124. Total number of solutions of cos x . cos 2x. cos 3x = in [0, ] is equal to41[0, ] cos x . cos 2x . cos 3x = \ h - u4

(1) 4 (2) 6 (3) 8 (4) 2www.

eena

dupr

atibh

a.net



525. If coth x = , then (-) coth 3x =3

63 61 65 63(1) (2) (3) (4) 61 63 63 6526. In a ABC, (a + b + c)(b + c - a) = bc if

ABC (a + b + c)(b + c - a) = bc -(1) < 0 (2) > 4 (3) > 6 (4) 0 < < 4

27. If in a ABC, r1 = 2r2 = 3r3, then b : c =

ABC r1 = 2r2 = 3r3 b : c =

(1) 4 : 3 (2) 5 : 6 (3) 4 : 5 (4) 5 : 4A - B + C

28. In a ABC, 2ac sin ( ) is equal to (E ?)2(1) a2 + b2 - c2 (2) a2 + c2 - b2(3) b2 + c2 - a2 (4) a2 + b2 + c2

29. If ABCDEF is a regular hexagon with AB

= a

and BC

= b

, then CE

=

ABCDEF v s-> AB

= a

-, BC

= b

-- CE

=

(1) b - a (2) 2 b - a (3) b - 2 a (4) b + a

www.

eena

dupr

atibh

a.net



30. Let a, b be non-collinear vectors and A = (x + 4y) a + (2x + y + 1) b and B = (y - 2x + 2) a + (2x - 3y - 1) b. If 3A = 2B , thena, b - -&- E C-. A = (x + 4y) a + (2x + y + 1) b , B = (y - 2x + 2) a + (2x - 3y - 1) b. 3A = 2B

(1) x = 2, y = 1 (2) x = -2, y = 1 (3) x = -2, y = -1 (4) x = 2, y = -131. Let x be a real number (h u) and r1 = x( i + 2 j - 3k),

r2

= (2x + 1) i + (2x + 3) j + (x + 1) k, r3

= (3x + 5) i + (x + 5) j + (x + 2) k then () r1 , r2 and r3 are (1) Coplanar for more than one value of x

x \ N-- r1

, r2

, r3 -M-.

(2) Non coplanar for all real xx \ Eo N-- r1

, r2

, r3 -M-.

(3) Non coplanar for all real x 0x 0 Eo N-- r1

, r2

, r3 -M-.

(4) Coplanar for all x 0x 0 Eo N-- r1

, r2

, r3 -M-.

www.

eena

dupr

atibh

a.net



32. The shortest distance between the skew lines

r

= (6 i + 2 j + 2 k) + t( i - 2 j + 2 k) and r = (-4 i - k) + s(3 i - 2 j - 2 k)-e r = (6 i + 2 j + 2 k) + t( i -2 j + 2 k),

r = (-4 i - k) + s(3 i - 2 j - 2 k) u Ee (1) 6 (2) 9 (3) 7 (4) 8

33. Let a = i + j + k, b = 2 i - j + 3 k, c = i - j and d = 6 i + 2 j + 3 k. If d = x( b c) + y(c a) + z(a b) then () (x, y, z) =

4 11 19 11 4 19 11 19 4 19 11 4(1) (, , ) (2) (, , ) (3) (, , ) (4) (, , )5 5 5 5 5 5 5 5 5 5 5 5

34. If a = 11, b = 23 and a - b = 30, then the angle between the vectors a

and b is

a = 11, b = 23,a - b = 30 a , b C- u E ?253 253(1) = cos-1 () (2) = -cos-1 ()125 125

125 125(3) = -cos-1 () (4) = - cos-1 ()253 253

www.

eena

dupr

atibh

a.net



35. The Variance of the first n natural numbers is

n u Nh %A

n2 - 1 n2 - 1 n2 + 1 n2 + 1(1) (2) (3) (4) 6 12 6 1236. If the arithmetic mean of the numbers x1, x2, x3, ........., xn is x

, then the arithmeticmean of numbers ax1 + b, ax2 + b, ax3 + b, ......., axn + b (where a, b are two constants) isx1, x2, x3, ......., xn u - -u x

, p ax1 + b, ax2 + b, ax3 + b,......., axn + b u - -u (a, b N n-)(1) a x (2) x + b (3) a x + b (4) na x + nb

37. Let X be a binomial variate with mean 10 and variance 5, then the parameters n and p

Cy -P X \ u 10, Nh %A 5 -N- n, p -

1 1 1 1(1) 20, (2) 15, (3) 20, (4) 15, 2 2 3 3

38. For a Poisson variate X, if P(X = 2) = 3P(X = 3) then the mean of X is- -P X P(X = 2) = 3P(X = 3) X \ u

1 1 1(1) (2) (3) (4) 12 3 4

www.

eena

dupr

atibh

a.net



7 3 139. If P(A) = , P(A B) = and P(A B ) = , then match the following of I to II.10 10 57 3 1P(A) = , P(A B) = , P(A B ) = C d-- ---.10 10 5

List - I d - I List - II d - II2(1) P(B) = (a) 5

B 3(2) P() = (b) A 7A 3(3) P() = (c) B 4A 1(4) P() = (d) B 3

The correct matching is

C-- d - II * d - I j :

(1) 1 a, 2 b, 3 c, 4 d (2) 1 a, 2 b, 3 d, 4 c(3) 1 b, 2 a, 3 d, 4 c (4) 1 b, 2 a, 3 c, 4 d

40. A five digit numbers is formed by the numbers 1, 2, 3, 4 and 5 with no digit beingrepeated. The probability that the number is divisible by 4 is

--%-Eo --A--- 1, 2, 3, 4, 5 --T* p--* u-- 4 T-- -u- - u

4 1 2 3(1) (2) (3) (4) 5 5 5 5www.

eena

dupr

atibh

a.net



41. A card from a pack of 52 playing cards is missed. From remaining cards two cardsare drawn and found to be spade cards. The probability that missing card is spade is

52 -\ d * f C. NT-L f * f- B...E p \ Jh. f p --E u

39 29 11 21(1) (2) (3) (4) 50 50 50 50x y

42. The locus of the point of intersection of the straight lines + = anda b

x y 1 - = is (where is a variable)a b

x y x y 1 + = , - = -- G \ G- ( C -NA)a b a b (1) a circle %h (2) a parabola --(3) an ellipse D`-%h (4) a hyperbola A----

43. The point P(4, 1) undergoes the following transformations successively.G P(4, 1) - C J-h -C.(i) Reflection with respect to the line y = x

-- y = x %d u --h.

(ii) Translation through 3 units along the positive direction of the X - axis.X - ~ -t C 3 Ex - ~ J--h.

(iii) Rotation through an angle of 6 about the origin the clockwise direction.-G--j v-~ C 6 v J- -h (u-C-).

The final position of the point P is G P C n

(1) (23 + 2, 23 - 2) (2) (23 - 2, 23 - 2)(3) (23 - 2, 23 + 2) (4) (23 + 2, 23 + 2)

www.

eena

dupr

atibh

a.net



44. The set of lines ax + by + c = 0 where 5a + 3b + 2c = 0 are concurrent at the point

5a + 3b + 2c = 0 u -- ax + by + c = 0 -h G

3 3 5 3 3 5 3 3(1) (, ) (2) (, ) (3) (, ) (4) (, )4 2 2 2 2 2 2 445. If 2x + 3y + 4 = 0 is the perpendicular bisector of the line segment joining the points

A(1, 2) and B(, ), then the value of ( + ) isA(1, 2), B(, ) G L - \ ---Cy-- 2x + 3y + 4 = 0 ( + ) N

-136 -135 -81 -134(1) (2) (3) (4)

13 13 13 13

x y46. If m1, m2, m3, m4 are the slopes of the straight lines x + y + 1 = 0, + = 1,2 3

y = 3x + 4 and y - 2 = 1 (x - 1) respectively, then which (the correct one) amongthe following is true?

x yx + y + 1 = 0, + = 1, y = 3x + 4, y - 2 = 1 (x -1) --- - 2 3 m1, m2, m3, m4 C-- C u?

(1) m1 < m2 < m3 < m4 (2) m4 < m3 < m2 < m1(3) m3 < m1 < m2 < m4 (4) m2 < m1 < m4 < m3

www.

eena

dupr

atibh

a.net



47. If the angle between the pair of straight lines

(x2 + y2) sin2 = (x cos - y sin )2 is , then =(x2 + y2) sin2 = (x cos - y sin )2 --t u =

(1) 2 (2) (3) 4 (4) 2

48. If the slope of one line of the pair 8x2 + 2hxy + y2 = 0 is twice the slope of the second line, then the value of h is

8x2 + 2hxy + y2 = 0 d h N

(1) 9 (2) 3 (3) 16 (4) 1249. The least distance of the point (10, 7) from the circle x2 + y2 - 4x - 2y - 20 = 0

x2 + y2 - 4x - 2y - 20 = 0 %h * (10, 7) G- --o Ee (1) 10 (2) 15 (3) 5 (4) 0

50. The intercept made by the circle on Y - axis whose diameter extremities are A(2, 4), B(-6, 8) isA(2, 4), B(-6, 8) u-v %h Y - ~j -- (1) 2 (2) 6 (3) 4 (4) 8

51. The inverse point of (-2, 3) with respect to the circle x2 + y2 - 4x - 6y + 9 = 0 isx2 + y2 - 4x - 6y + 9 = 0 %h %d u G (-2, 3) N G(1) (1, 3) (2) (2, 3) (3) (3, 2) (4) (3, 1)

www.

eena

dupr

atibh

a.net



52. If a b, then the length of common chord of the circles (x - a)2 + (y - b)2 = c2and (x - b)2 + (y - a)2 = c2 isa b (x - a)2 + (y - b)2 = c2, (x - b)2 + (y - a)2 = c2 %h t u

(1) c2 - (a - b)2 (2) 4c2 - 2(a - b)2 (3) 3c2 - (a - b)2 (4) 2c2 - (a - b)2

x y53. If the straight line + = 1 touches the circle x2 + y2 = a2, then the locus of

1 1

the point ( , ) is a/ an x y 1 1 + = 1 -- x2 + y2 = a2 %hEo p %Ph, -G--(, ) \ G- (1) Straight line -- (2) Parabola - -(3) Circle %h (4) Ellipse D`-%h

54. The locus of a point which trisects the double ordinate of the parabola y2 = 4ax is

y2 = 4ax - --j G Y - E--Eo vA-J G- O--

(1) 4y2 = 9ax (2) 9y2 = -4ax(3) 4y2 = -9ax (4) 9y2 = 4ax

www.

eena

dupr

atibh

a.net



55. If three normals to the parabola y2 = x are drawn from a point (c, 0) theny2 = x ----E (c, 0) G * NGo G U--L

1 -1 1 1(1) c > (2) c = (3) c = (4) c = 2 2 4 2

x2 y256. A common tangent to the circle x2 + y2 = 16 and the ellipse + = 1 is

49 4x2 y2

x2 + y2 = 16 O-- * %h-E + = 1 D`-%-h-E --o t49 4

pz- O--

2x 414 2x 415(1) y = + (2) y = + 11 11 11 11

(3) y = x + 45 (4) y = x + 5357. An ellipse having foci at (3, 3) and (-4, 4) and passing through the origin has

eccentricity equal to

-G- -y --x D`-%--E E-- (3, 3), (-4, 4) E \v3 2 5 3(1) (2) (3) (4) 7 7 7 5

www.

eena

dupr

atibh

a.net



x2 y2 x2 y2 158. The foci of the ellipse + = 1 and the hyperbola - =

16 b2 144 81 25

coincide. Then the value of b2 is

x2 y2 x2 y2 1 + = 1 D-` %-h - = A--- - -16 b2 144 81 25

--Nh b2 N

(1) 1 (2) 5 (3) 9 (4) 759. If the line segment joining A(2, 3, 5) and B is divided by P(-1, 4, 3) in the

ratio 2 : 3, then B =

A (2, 3, 5), B L - P(-1, 4, 3) G 2 : 3 Ep-Ah N>*C. B =-11 11 11 11 -11(1) (, , 0) (2) (, , 0) (3) (11, 11, 0) (4) (0, -11, )2 2 2 2 2

60. The triad which cannot be direction cosines of any line is

--j C jx E vA

2 2 1 2 2 1 1 3 2 3 4(1) , , (2) , , (3) , , (4) , 0, 3 3 3 9 9 9 14 14 14 5 5

61. If O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C(-1, 1, 2) then the angle between the planespassing through O, A, B and O, A, C is

O(0, 0, 0), A(1, 2, 1), B(2, 1, 3), C(-1, 1, 2)--- O, A, B; O, A, C -y --x u

9 35 3 21(1) Cos-1 () (2) Cos-1 () (3) Cos-1 () (4) Cos-1 ()35 3 35 35www.

eena

dupr

atibh

a.net



62. Lim ( )x x2 + 2x - 1 - x =1(1) 0 (2) (3) 4 (4) 121 + px - 1 - px

63. If the function f(x) = { ; -1 x < 0 x 2x + 1 ; 0 x 1 x - 2

is continuous on [-1, 1], then p =

1 + px - 1 - px v f(x) = { ; -1 x < 0 x 2x + 1

; 0 x 1; x - 2

[-1, 1] j N-*a -o-i p =-1 1(1) (2) (3) 2 (4) -22 2

3x - x3 1 - x2 164. If f(x) = tan-1 (), g(x) = cos-1() and 0 < a < ,1 - 3x2 1 + x2 2

f(x) - f(a)then (--) lim =

xa g(x) - g(a)2 3 3 -2(1) (2) (3) - (4) 3 2 2 3

www.

eena

dupr

atibh

a.net



x x2 x3 xn dy65. If y = 1 + + + + ......... + , then () =1! 2! 3! n! dx

xn xn xn(1) y (2) y + (3) y - (4) (y - 1) - n! n! n!

d 15x16 - 16x15 + 166. Assertion (A): {(x + 1)(x2 + 1)(x4 + 1)(x8 + 1)} =

(EPa) dx (x - 1)2x16 - 1

Reason (R): (x + 1)(x2 + 1)(x4 + 1)(x8 + 1) = (-) x - 1

Which one of the following is correct?

C- C jC?

(1) Both A and R are correct and R is the correct explanation of A.A, R u, A R j -N--.

(2) Both A and R are correct but R is not the correct explanation of A.A, R u, A R j -N-- .

(3) A is true, R is false.A u, R u.

(4) A is false, R is true.A u, R u.

www.

eena

dupr

atibh

a.net



67. The value of c in the Lagrange's mean value theorem for f(x) = logex on the

interval [1, 3] is[1, 3] O f(x) = log

ex v u N l-Eo --J c N

loge3

(1) log3e (2) log

e3 (3) 2 log

3e (4)

2

68. The minimum value of (sin x)sin x when 0 < x < is 0 < x < (sin x)sin x Ee N

(1) e1e (2) e-e (3) 1 (4) e-

1e

69. If the volume of the sphere increases at the rate of 4 cm3/ sec, then the rate ofincrease of its radius when the volume is 288 cm3 is

--J- - 4 ..O. p --, --J- 288..O. o-p E ul --

1 1 1 1(1) (2) (3) (4) 4 12 36 9 70. If the curves y2 = 4(x + 1) and y2 = 36(9 - x) intersect orthogonally at P(8, 6).

Then at P(8, 6) the sum of the slopes (m1 + m2) =y2 = 4(x + 1), y2 = 36(9 - x) v P(8, 6) l -- P(8, 6) l h (m1 + m2) =

-3 -8 -10(1) (2) (3) 0 (4) 8 3 3

www.

eena

dupr

atibh

a.net



(x2 - 1) dx x2 + 1x271. = A tan-1 + C, where C is a real constant (x2 + 1) 1 + x4 2(h n-u ) then A =

1 1(1) 1 (2) 2 (3) (4) 2 3(1 + log x)5

72. dx is equal to ( )x1 1(1) (1 + log x)-6 + C (2) (1 + log x)-5 + C6 5

1 1(3) (1 + log x)5 + C (4) (1 + log x)6 + C5 6

73. (1 + tan2 x + tan4 x + tan6 x) dx =tan5 x(1) tan2 x + + C

5tan3 x tan5 x(2) tan x + + + C

3 5

tan3 x tan5 x tan7 x(3) tan x + + + + C 3 5 7

tan x(4) (5 + tan4 x) + C5

www.

eena

dupr

atibh

a.net



74. The area (in square units) of the region bounded by y = 2 - x2, y = x2 isy = 2 - x2, y = x2 J-lu v- ju (- E-x)

3 8 4 3(1) (2) (3) (4) 8 3 3 4

ex xex x2 ex75. If I1 = dx, I2 = dx , I3 = dx , then ( --)(1 + x2)2 (1 + x2)2 (1 + x2)2I1 - 2I2 + I3 =

ex ex(1) + C (2) + C1 + x2 (1 + x2)2

2ex 2ex(3) + C (4) + C(1 + x2) (1 + x2)2/2

cos x dx /2

dx76. If I = then (--) =

0 1 + cos x + sin x 0 1 + cos x + sin x

I (1) (2) I (3) - 2I (4) + 2I2 2 2

www.

eena

dupr

atibh

a.net



77. n

/2 (r + sin )2 cos d =r = 1 0

n(n + 1)(n + 2) n(n2 + 3n + 3)(1) (2) 3 3

n(n + 1)(2n + 1) (n + 1)(n + 2)(3) (4) 3 3

78. The equation of the curve passing through ( , 0) and which is a solution of 6(ey + 1) cos x dx + ey sin x dy = 0 is( , 0) -y- ---- (ey + 1) cos dx + ey sin x dy = 0 - --o v6

(1) 4 sin x = 1 + ey (2) sin x(1 + ey) = 0(3) (1 + ey) sin x = 1 (4) 2 sin x = ey cos x

1 dy79. The solution of y2 + (x - ) = 0 is y dx

(1) xy = 1 + y + cxe1y (2) xy = 1 + y + cye

1

x

(3) xy = 1 + y + cye1y (4) xy = 1 + x + cye

1y

d2 y dy80. The order and degree of the differential equation [ + ()3]6/5 = 6y isdx2 dx

equal to (-- O-- J-, -A -)(1) 2, 6 (2) 6, 2 (3) 1, 2 (4) 2, 1 ww

w.ee

nadu

prati

bha.n

et


Code E 2015 A


81. A cylindrical wire has mass (0.3 0.003) g, radius (0.5 0.005) mm and length (6 0.06) cm. The maximum percentage error in the measurement of its density is B vu-P (0.3 0.003) - -v., ul (0.5 0.005) - -N.--O., (6 0.06) --.--O. E v- Je (1) 1 (2) 2 (3) 3 (4) 4

82. A body is projected with velocity of (6 i^ + 8 j^ + 20 k^ ) ms-1. i^, j^ are in horizontal plane and k^ is in vertical plane. Horizontal range of projectile is (take g = 10 ms-2) h- (6 i^ + 8 j^ + 20 k^ ) ms-1 v~h . i^, j^ ~A -, k^ ~A -C- o. g = 10 ms-2 , ~A - uh

(1) 80 m (2) 20 m (3) 40 m (4) 34 m83. Rectangular components of a force in XY plane are 1 and (p + 1). If direction of

force is rotated by 30 in XY plane, the components become p and 4 respectively.The value of 'p' is

XY o X, Y ~- - 1, (p + 1). Eo XY 30Ap p, 4 'p' N

(1) 2 (2) 4 (3) 3.5 (4) 7

PHYSICS

www.

eena

dupr

atibh

a.net



84. Force acting on a body and displacement produced to that body is as shown in

graph. Total work done in covering a distance of 20 m is

h-j v-T-* -E, h-

L n-v- -E U v

N C. h n-v

20 m J-T E N

(1) 225 J

(2) 175 J

(3) 350 J

(4) 100 J

85. Apparent weight of a man in a lift is less than actual weight, when the lift is

moving

Ld o uh %u , E \ op Ld

(1) down with retardation y-

(2) up with acceleration y- j

(3) up with retardation y- j

(4) down with uniform speed --

F

SO 5 m 10 m 15 m 20 m

20 N

10 N

www.

eena

dupr

atibh

a.net



86. Two blocks of masses 5 kg, 2 kg are kept one above other and are kept on smoothhorizontal surface as shown in figure. Coefficient of friction between the blocks is0.1. Horizontal force of 14 N is applied on upper block. If g = 10 ms-2acceleration of 5 kg block is

5 .-v., 2 .-v. vu-- --o Ct- --Ej j . Ctu { 0.1. j o 2 .-v. Ctj 14 N Eo ~A -- v-Th, -o 5 .-v. Ct p y (g = 10 ms-2)(1) 0 (2) 0.4 ms-2(3) 0.2 ms-2 (4) 0.1 ms-2

87. Moment of inertia of a circular ring about its rolling axis is equal to moment ofinertia a circular disc of same mass about a tangent normal to its plane. Ratio ofradius of ring and disc is

J x ~ y v N, vu-P --o \ -E o pz--& ~j y v--E . J, \ ul EpAh

(1) 1 : 1 (2) 3 : 2 (3) 3 : 2 (4) 3 : 288. For a given density of planet having radius R, the orbital time period of a satellite

near the surface of planet is proportional toR ul --o v v n C. E -J---E _- J-v-NvE ~uh C-- E ----- C?

32 1(1) R (2) R (3) R0 (4) R

2 kg 14 N

5 kg

www.

eena

dupr

atibh

a.net



89. A uniform thin rod is held vertically on a smooth horizontal table and released.Then centre of mass of rod moves

~A - j fE Ed-E-- * -N--. p f vuPv

(1) Vertically up Ed-E-- j(2) Vertically down Ed-E-- (3) Parabola path -- _(4) Horizontal path ~A - _

90. Two persons pull a rope towards themselves. Each person exerts a force of 200 Non the rope. Length of rope is 2 m and area of cross section of rope is 2 10-4 m2.If rope stretches by 1 cm, its Young's modulus is

l uh 2 -O. , 2 10-4 -O.2 u-a ju --o \-\ 200N Eo v-T* uA- Cx --o. - 1 --.O. p-, E -

(1) 2 108 Pa (2) 4 108 Pa (3) 8 108 Pa (4) 1 108 Pa91. A cylindrical tank has a hole of 1 cm2 at its bottom. Water is falling into the tank

at a rate of 70 cm3/ sec. The maximum height upto which water can be rised intothe tank is

n v 1 --.O.2 u-a -Nhg ---o v C. v- 70 --.O.3 p F C. v F --L Je h

(1) 5 cm --.O. (2) 10 cm --.O. (3) 7.5 cm --.O. (4) 2.5 cm --.O.

www.

eena

dupr

atibh

a.net



92. Assertion (A): A large force is required to draw apart normally two glass platesenclosing a thin water film.

v- (A): V - u -E F p---p V N-D---E vTLq \.

Reason (R): Water acts like glue between the two plates and so they stick together.N- (R): V - u p F \ > C.(1) Both A and R are true and R is correct explanation of A.

A, R j-N. R C A j N-.

(2) Both A and R are true, but R is not correct explanation of A.A, R j-N. F R C A j N- .

(3) A is true, but R is false.A u, F R u.

(4) A is false, but R is true.A u, F R u.

93. A particle starts oscillating from its mean position with time period 'T'. Then ratio T

of kinetic and potential energy of the particle at time is12

T u-N n * --J T ---h - hC. 12

l E -- A, nA h EpAh

(1) 2 : 1 (2) 3 : 1 (3) 4 : 1 (4) 1 : 1www.

eena

dupr

atibh

a.net



94. 27 small spheres each of moment of inertia 'I' about their diametrical axis are combined to form a big sphere. Then moment of inertia of the big sphere about itsdiameter is

u -y --x ~ \-\ 'I' y v --o 27 L l p-J-. l E u y v N

(1) 27 I (2) 9 I (3) 81 I (4) 243 I95. A ball of mass 1 kg is projected from a point on horizontal ground with velocity

U = (10 i^ + 10 j^) ms-1 (X - axis is horizontal, Y - axis is vertical). The torqueon the ball about the point of projection when it is at maximum height is1 .-v. vu-P --o AE ~A -- o * U = (10 i^ + 10 j^) ms-1 v~h . X - ~ ~A -, Y - ~Ed-E-- o. A Je h l op, v~h G \ N

(1) 100 k^ (2) -100 k^ (3) 1000 k^ (4) -1000 k^

96. A metal ball cools from 72 C to 60 C in 10 minutes and from 60 C to 52 C innext 10 minutes. The temperature of surroundings is

10 EN-x 72 C * 60 C x--C. y---A 10 EN-x 60 C * 52 C x--C. J-- g-v

(1) 32 C (2) 30 C (3) 38 C (4) 36 C97. A bimetallic strip of brass and steel, each having 1 cm at 20 C is heated to 120 C.

It bends with brass on outer side. If of brass is 17 10-6/ C and of steel is 12 10-6/ C, radius of curvature of curved surface is

\-\ 1 .-O. LT h, d Cy- d 20 C l Ao C.Eo 120 C x h -- a N TC. h = 17 10-6/ C, d = 12 10-6/ C v- v ul

(1) 20 m O. (2) 16.6 m O. (3) 20 cm .O. (4) 3.3 m O.

www.

eena

dupr

atibh

a.net



98. One mole of monoatomic ideal gasperforms a cycle ABCDA as shown.Temperatures of gas at different statesare TA = 400 K, TB = 800 K, TC = 2400 K, TD = 1200 K. Workdone by the gas during one cycle is

z --- -

N ABCDA vvv J-. NN n l

g-v- TA = 400 K, TB = 800 K, TC = 2400 K, TD = 1200 K % v E

(1) 400 R (2) 600 R (3) 800 R (4) 1000 R99. A bottle with open mouth contains air at 47 C. The temperature to which the

1bottle must be heated so that th of mass of air leaves the bottle is

5

1-* v 47 C l L C. Eo ----p vu-P --o L

5

- Rx--C. C g-v

(1) 177 C (2) 217 C (3) 400 C (4) 127 C

A

B

P

T

D

C

www.

eena

dupr

atibh

a.net



100. Match List - I and List - II.

---.

List - I G - I List - II G - II

(a) Temperature of gas can be changed (e) Isothermal processwithout supplying heat

g - - gv vv

gv a vv

(b) Change in internal energy is zero (f) adiabatic process-_ h p u vv ng vv

(c) Work done is zero (g) isochoric processJ-T E u vv -J vv

(d) Work done by gas is maximum (h) iso baric processfor a given increase in volume

EJld --J- p- J-T -- vv

E J-e vv

(1) a - e, b - f, c - g, d - h (2) a - f, b - e, c - g, d - h(3) a - g, b - e, c - h, d - f (4) a - f, b - h, c - g, d - e

101. A closed pipe and an open pipe of same length produce 2 beats per second, whenthey are set into vibration simultaneously in their fundamental mode. If length ofopen pipe is halved and that of closed pipe is doubled and if they are vibrated againin fundamental mode, the number of beats produced per second is

d, J-* d - LT o. --F -JvN KA -----p - 2 Np-- p-f. J-* d - , d - d , Sx v-N KA -----p - p Np-- u

(1) 8 (2) 4 (3) 7 (4) 2

www.

eena

dupr

atibh

a.net



102. A uniform rope of length 12 m and mass 12 kg hangs vertically from a rigid support. A block of mass 4 kg is attached to the free end of rope. A transverse pulseof wavelength 0.01 m is produced at the lower end of rope. The wavelength of pulsewhen reaches the top of rope is

12 .-v. vu-P, 12 -O. --o E- --D-. ya l 4 .-v. vu--PE d 0.01 -O. --j` u --o Au p- * * j. j*- l --j` u N

(1) 0.01 m O. (2) 0.02 m O. (3) 0.04 m O. (4) 0.08 m O.103. When a train approaches a stationary observer, the apparent frequency of whistle is

n1. When same train recedes away from the observer, the apparent frequency is n2.Then frequency received by an observer moves along with the train is

EJld --u yE ho j Ea- o J-Q---E O-p %uu n1. j Ea J-Q-- * -p J-Q-N %u -u n2. j-E wj N -u N

n1 + n2 2n1n2 2n1n2(1) (2) n1n2 (3) (4) 2 n1 + n2 n1 - n2104. A light ray is travelling between two media as given below. The angle of incidence

on the boundary in all the cases is 30. Identify the correct sequence of increasing

3 4order of angle of refraction (g = , w = )2 3 A *a N - u v--hC. Eo sx

3 4 30. (g = , w = ) v-- v a 2 3C -s- p.

a) Air to water L * F- b) Water to glass F * V-(c) Glass to water V * F-(1) a, b, c (2) b, c, a (3) c, a, b (4) a, c, b

www.

eena

dupr

atibh

a.net



105. A thin convex lens made of glass of refractive index 1.5 has focal length of 0.2 min air. If it acts as concave lens of 0.5 m focal length when dipped in a liquid, refractive index of that liquid is

-V- ---- -E - v-- 1.5. --C L 0.2 -O.-u LT C. - Eo v *--p --u- 0.5 -O. -- - JC. v v-- -N--

17 15 13 9(1) (2) (3) (4) 8 8 8 8106. An astronomical refractive telescope has an objective of focal length 100 cm and

eye piece of focal length 5 cm. Then for normal adjustment position v-- --Jz-E h -u- 100 .O., ~ -u- 5 .O. - l- n l

(1) Length of telescope is 105 cm --JzE 105 .O.(2) Magnification is 20 -l 20(3) Final image is inverted C vA-G --- C(4) All the above j---Fo

107. Bichromatic light is used in Young double slit experiment, having wavelengths 1 = 400 nm and 2 = 700 nm. The order of bright fringe of 1 which overlapswith 4th bright fringe of 2 is



108. Two polaroid sheets are placed one over the other with their axes inclined to eachother at angle ''. If only 12.5% of the intensity of the unpolarised light incident onthe first sheet emerges from the second sheet, the value of is

-x % ~ --E-- '' a. -j --i v- A -- * o v A12.5] v C. N

(1) 30 (2) 60 (3) 45 (4) 90109. Electric flux from a sphere of radius 1 m is . If radius of sphere is doubled

without changing the charge enclosed, electric flux through it becomes

1 O ul --o -y Nu G- . -E -Eo a-ulEo d . p -y G-

(1) (2) 2 (3) (4)

2 4

110. A capacitor of 1 F can withstand upto a maximum voltage of 6 kilovolt, andanother capacitor of 2 F can withstand upto a maximum voltage of 4 kilovolt. Ifthe two capacitors are connected in series, the system can withstand a maximum voltage of

1 F -- Je 6 d -E{- , 2 F -- J-e 4 d -E{- -- d-. ---x v L-d Je d@

(1) 12 kV (2) 4 kV (3) 6 kV (4) 9 kVwww.

eena

dupr

atibh

a.net



111. Five equal cells each of e.m.f. 'E' and internal resistance 'r' ohm are to be connected in parallel. If polarity of one cell is wrongly connected, effective e.m.f.of circuit is

5 y-- - \-\ 'E' Nu-a - , 'r' E- LT o.E -- L. v p L-. LNu-a -

(1) 3 E (2) 0.6 E (3) 5 E (4) E112. In the circuit shown a meterbridge is

balanced. Resistance of meterbridgewire is 0.1 / cm. Current drawn fromthe battery of negligible internal resistance is

*a - O--vGb - nl C. O--vGb B E0.1 / .-O-. uK Jo . uK * a

(1) 0.1 A (2) 0.5 A (3) 1 A (4) 0.2 A113. When plane of dip circle is along the magnetic meridian, the angle of dip is 45.

Now, plane of dip circle is rotated through 30. Then apparent angle of dip is

- v ( J\) E Eo --\ uh *--p- () 45. - v E Eo 30 Ap, %u - N

2 3 1(1) Tan-1 ( ) (2) Tan-1 () (3) Tan-1 (2) (4) Tan-1()3 2 2

40 cm 60 cm

5 V

x 6

G

www.

eena

dupr

atibh

a.net



114. In an orbit of radius 0.5 A, an electron revolves with a frequency of6.25 1015 Hz. Magnetic induction field at its centre is

0.5 A ul --o ~u -Z 6.25 1015 Hz --u J-v-Nh C. ~uv l -\ v

(1) 4 tesla -x (2) 2 tesla -x (3) 4 tesla -x (4) 2 tesla -x115. Two concentric and coplanar circular loops have radii R and r such that R > > r. If

current is passing through outer loop, mutual inductance between the two loops isproportional to

R, r ul --o vD o. R > > r. u -y v---h, u uu v C-- E- C?

R r R2 r2(1) (2) (3) (4) r R r R

116. In an L-R circuit, the inductive reactance is equal to the resistance R of circuit. Anemf, E = Eo cos (wt) is applied to the circuit. The power consumed in the circuit isL-R - -v -v-A-- -N--- -E--- R --. ----E ----Jh-*-Nu -- E = Eo cos (wt) -- ---- -N-E---u -N-u- -n u

Eo2 Eo

2 Eo2 Eo

2(1) (2) (3) (4) 2 R 2 R 4 R 8 R

117. When light of wavelength 2 falls on a metal plate, electrons are liberated withmaximum kinetic energy of K. When light of wavelength 3 falls on the same plate,the maximum kinetic energy of electron is doubled. Threshold wavelength of metal is

~ j 2 --j` u --o x --i--p N--u -Z--x Je A-h K. 3 --j` u --o x --i--p N--u -Z--x Je A--h 2 K ~ --j` u

(1) (2) 1.5 (3) 2 (4) 3

www.

eena

dupr

atibh

a.net



118. Binding energy per nucleon of 2He4 is 7 MeV and 2He3 is 2.5 MeV. Energyrequired to remove a neutron from a nucleus of 2He4 is

\ ux-- h 2He4 7 MeV, 2He3 2.5 MeV. 2He4 v * uv- T-E Lq h

(1) 2.5 MeV (2) 20.5 MeV (3) 7 MeV (4) 25.5 MeV119. The maximum distance between transmitting and receiving antennas is D. The

heights of both antennas are doubled. Then maximum distance between thembecomes

v, v -o u Je D. - -o h- d h u Je

(1) 2D (2) 2 D (3) 4D (4) D2120. A transistor is operated in common emitter configuration at constant collector

voltage such that a change in base current from 100 A to 150 A produces achange in collector current from 5 mA to 10 mA. The current gain isn - d@ l vEqd t _ Nu- Nu 100 A * 150 A J--p - Nu 5 mA * 10 mA JC. Nu v %Cl N(1) 100 (2) 500 (3) 250 (4) 200

www.

eena

dupr

atibh

a.net


Code E 2015 A


121. Percentage of ionisation of aqueous BaCl2 if its Van't Hoff factor is 2.6

- 2.6 o BaCl2 -v- -F--

(1) 40 (2) 80 (3) 60 (4) 50122. At 27C, the vapour pressure of an ideal solution containing 2 moles of A and 3

moles of B is 560 mm of Hg. If 2 moles of B is added to this solution at the sametemperature, the vapour pressure of the solution increases by 40 mm of Hg. Thevapour pressure of A and B are respectively are

27C l 2 A, 3 B o z v p-- 560 mm Hg. g-v l v--E 2 BE L- v p-- 40 mm Hg J-TC. A, B p--- -

(1) 700 mm, 350 mm (2) 350 mm, 700 mm(3) 600 mm, 500 mm (4) 500 mm, 600 mm

123. The edge length of Unit Cell of a metal having molar mass 75 g mol1 is 5 Awhich crystallises in cubic lattice. The density of metal is 2 g/ cm3. The radius ofmetal atom would be

75 v. 1 vu-P o E 5 A. C- p-- -C. v 2 v./ .O.3 ul

(1) 2.165 A (2) 2.50 A (3) 1.76 A (4) 7 A

CHEMISTRY

www.

eena

dupr

atibh

a.net



124. Eo for the cell Zn/Zn+2 (aq.) Cu+2 (aq.)/ Cu is 1.10 V at room temperature. Theequilibrium constant for the reaction Zn + Cu+2 (aq.) Zn+2 (aq.) + Cu is oforder.

Zn/ Zn+2 (.v.)Cu+2 (.v.)/ Cu E N 1.10 V Zn + Cu+2 (.v.) Zn+2 (.v.) + Cu u --nA n N -v-(1) 1037 (2) 1074 (3) 10-74 (4) 10-37

125. In a reaction A + B Products, rate gets doubled when the concentration of B isdoubled, and the rate is increased by a factor of 8 when the concentration of boththe reactants A & B are doubled, the rate law for the reaction is

A + B v--u, u B - d h d uC.A, B d h 8 x J-TC. u E

(1) Rate = K [A] [B] = K [A] [B](2) Rate = K [A]2 [B] = K [A]2 [B](3) Rate = K [A] [B]2 = K [A] [B]2

(4) Rate = K [A]2 [B]2 = K [A]2 [B]2

126. 10-4 g of Gelatin is required to be added to 100 cm3 of a standard gold sol to justprevent its precipitation by the addition of 1 cm3 of 10% NaCl solution to it. Hencethe gold number of Gelatin is

100 .O.3 v f- 1 .O.3 10% NaCl v-Eo L- p~Eo E-C---E 10-4 v. - ---iC. - f u

(1) 105 (2) 10-5 (3) 10-2 (4) 10-1www.

eena

dupr

atibh

a.net



127. Froth flotation process is the brain child of the Scientist

x vv N - Y---h - vA

(1) Ellingham Lx (2) Everson -q (3) Van Arkel \ (4) Baeyer

128. The gas that can diffuse through glass easily is

V y --L_ u

(1) He (2) F2(3) Ne (4) None of the above jO

129. Pair(s) of the ions having same magnetic moment is/ are -\ v o x ()(1) Cr+2, Fe+2 (2) Co+2, V+2(3) Cu+2, Ti+3 (4) All the above jFo

130. Facial isomer among the following is

-- ---L------ --- -%-

NH3 NH3O2N NO2 O2N NH3

(1) (2)O2N NH3 O2N NH3

NH3 NO2NH3 NO2

O2N NO2 O2N NH3(3) (4)

O2N NO2 O2N NH3NH3 NO2

Co Co

Co Co

www.

eena

dupr

atibh

a.net



131. Incorrect statement among the following is

C-- J-E uu

(1) Graphite is thermodynamically most stable among all the allotropes of Carbon.g--A Y v s ---x-x vj C ny C.

(2) Buckminsterfullerene contains 20 six membered rings & 12 five membered rings-N-E-d---x-K 20 s -, 12 s ---o.

(3) SnO2, PbO2, GeO2 are basic in nature.SnO2, PbO2, GeO2 ~ y C.

(4) CCl4 does not undergo hydrolysis.CCl4 Nx- .

132. Carcinogenic among the following is/ are

C-- uq -()(1) Polychlorinated biphenyl

% xJ-F-- j-j

(2) 3 - Methyl cholanthrene3 - Nj -vB

(3) Polynuclear hydrocarbons formed on incomplete combustion of coal_E -Jh C- x p v --ojvs

(4) All the abovejFoww

w.ee

nadu

prati

bha.n

et



133. By product(s) formed during chlorination of Methane is/ areO-E xJ-- --p p --E-

(1) C2H6 (2) CH3Cl (3) CH2Cl2 (4) both 2, 3 -Anhydrous AlCl3134. i) C6H6 + Cl2 Awl AlCl3Anhydrous AlCl3, dark, cold

ii) C6H6 + Cl2 Bwl AlCl3,



136. 1 mole of H2O2 can reduce the number of moles of acidified KMnO41 H2O2 Eo Ox-% KMnO4 E ~-- h-

(1) 2.5 (2) 5.0 (3) 0.4 (4) 2.0137. The magnetic nature and colour of concentrated warmed solution of sodium

dissolved ammonia is

t-E- J-T-* , v \ y,

(1) diamagnetic & bronze colour -\, u (2) paramagnetic & blue colour --\, F (3) paramagnetic & bronze colour --\, u (4) diamagnetic & blue colour -\, F- -

138. The correct order of first ionization Enthalpies of group 13 elements is

13 v -F-- Mp j v

(1) B > Al > Ga > In > Tl (2) B > Tl > Ga > Al > In(3) B > Ga > Tl > Al > In (4) B > Ga > Al > Tl > In

139. Solubility product of Silver bromide is 5 10-13. The quantity of potassium bromide (Molar mass is taken as 120 gram mol-1) is to be added to 1000 ml of0.05 M solution of Silver nitrate to start the precipitation is

y vi v - l 5 10-13 -~ p---E 1000 N.M.0.05 M y -j-v- v--E --Lq - vi ( vu-P 120v. -1) J-(1) 6.2 10-5 grams v-- (2) 9 10-8 grams v--(3) 1.2 10-9 grams v-- (4) 1.2 10-10 grams v--ww

w.ee

nadu

prati

bha.n

et



140. The equilibrium constants of12 N2 (g) +

32 H2 (g) NH3 (g) is KP1 and that of N2 (g) + 3H2(g) 2 NH3 (g)

is KP2. The relationship between two equilibrium constants is12 N2 () +

32 H2 () NH3 () --nA n KP1,

N2 () + 3 H2 () 2 NH3 () --nA n KP2 n u

(1) KP1 = KP2 (2) KP1 = 2 KP2(3) KP1 = KP22 (4) KP1 = KP2

141. Element having smallest atomic radius among the following is

C-- up - ul -C

(1) Li (2) K (3) H (4) Na142. The values of H & S for the reaction C (graphite) + CO2(g) 2 CO (g) are

170 KJ and 340 JK-1 respectively. This reaction becomes spontaneous at thetemperature (in C)C (vj) + CO2 () 2 CO () u H, S N- - 170 KJ,340 JK-1 u g-v (C ) l -Bo-% --(1) 500 (2) 227 (3) 2000 (4) 1627

143. Least stable among Li2, Li2-

and Li2+ is/ are

Li2, Li2-

, Li2+ \ ny oC/oN

(1) Li2-, Li2+ (2) Li2 (3) Li2+ (4) Li2-

144. The % of an element M is 60% in its oxide of formula MO2. Atomic mass of M is

MO2 t o j q 60% M C. M - vu-P

(1) 48 (2) 24 (3) 20 (4) 40

www.

eena

dupr

atibh

a.net



145. The lowest energy of the spectral line emitted by the H atom in the Lyman series is

H -- j v _ up h o g-

4 5 3 7(1) h c RH (2) h c RH (3) h c RH (4) h c RH3 36 4 144146. The compressibility factor of a real gas at low pressure and high pressure

respectively are

E -u \ --, \ l -

a Pb Pb Pb(1) 1 - , 1 + (2) 1 - , 1 + RTV RT RT RT

Pb Pb Pb a(3) 1 + , 1 - (4) 1 + , 1 - RT RT RT RTV

147. Assertion (A): At 300 K, kinetic energy of 2 grams of H2 is equal to kinetic energy of 64 grams of SO2.

EPa (A): 300 K l 2 v H2 A h, 64 v SO2 A h .Reason (R): At constant temperature, kinetic energy of one mole of all the gases

is equal.

(R): n g-v l --j A h - C.The correct answer is

(1) (A) is correct but (R) is not correct (A) jC, F (R) -jC (2) (A) is not correct but (R) is correct (A) jC , F (R) jC(3) (A) and (R) are correct and (R) is correct explanation of (A)

(A), (R) j-N, (A) (R) j N-(4) (A) and (R) are correct but (R) is not the correct explanation of (A)

(A), (R) j-N, F (A) (R) j N-

www.

eena

dupr

atibh

a.net



148. Correct order of energies of 2s orbitals of different elements is

Go 2s Jsx h j v

(1) E2s (H) = E2s (Li) = E2s (Na) = E2s (K)

(2) E2s (H) > E2s (Li) > E2s (Na) > E2s (K)

(3) E2s (H) < E2s (Li) < E2s (Na) < E2s (K)

(4) E2s (H) < E2s (Li) > E2s (Na) > E2s (K)

149. 34.05 ml of phosphorous vapour weighs 0.062 g at 546 C and 1 bar pressure.

Molecular formula of phosphorus is

546 C, 1 l 34.05 N.M. p- p 0.062 v. p

--t

(1) P2 (2) P4(3) P3 (4) P5

150. SSS bond angles in S8 ring and S6 ring are respectively

S8 , S6 --x SSS - -

(1) 107, 102.2 (2) 102.2, 107

(3) 104.5, 90 (4) 120, 102

www.

eena

dupr

atibh

a.net



151. Match the following.

C--E .

List - I G - I List - II G - II

(A) 3 Moles of conc. HCl + 1 Mole (I) good reducing agentof Conc. HNO3 * ~--

3 HCl + 1 HNO3

(B) I2O5 (II) good oxidising agent* q--

(C) ClO2 (III) oxidising agent & removes plutoniumq--, x-EEo -T-hC

(D) O2F2 (IV) bleaching agent N-

(V) dissolves platinum x-Eo -T-hC

The correct answer isj -

A B C D (1) II III I IV(2) III II IV I(3) V II IV III(4) II III IV Iww

w.ee

nadu

prati

bha.n

et



152. Shapes of SF4 and ClF3 are respectively

SF4, ClF3 %- -

(1) Tetrahedral & Trigonal planar vv, - vA(2) Square planar & Trigonal planar - -v, - vA(3) Tetrahedral & T vv, T(4) See - saw & T x, T

153. Average oxidation states of S atoms present in S4O6-2 ion are

S4O6-2 - S --- q-- n

(1) 2.5, 2.5, 2.5, 2.5 (2) 5, 0, 0 5(3) 5, 2, 2, 5 (4) 2.5, 2.5, 2.5, 2.5

154. Nylon 6, 6 is a j 6, 6 C

(1) Condensation polymer - L-(2) Polyamide M--i(3) Copolymer L-(4) All the above jFo

155. Amino acid that could be obtained from cheese is

Vo * --L i x

(1) Cysteine d- (2) Tyrosine j-(3) Threonine vA-j (4) Tryptophan vd-ww

w.ee

nadu

prati

bha.n

et



156. Pair of bactericidal antibiotics among the following are

C-- ~ t@ ---q --

(1) Penicillin & Ofloxacin Eq-L, x-q-

(2) Tetracycline & Erythromycin v-j-x, J-v-i-

(3) Chloramphenicol & Veronal x---E-, -

(4) Tegamet & Cimetidine -, N--H H

157. The hydrolysis of H3C C C CH3 by SN1 mechanism gives mainly Br CH3

H H H3C C C CH3 E SN1 u N- -N-x- h v- p-C

Br CH3

(1) 2 - methyl - 1 - butanol 2 - Nj - 1 - u-(2) 2, 2 - dimethyl - 2 - propanol 2, 2 - jN-j - 2 - v-(3) 2 - methyl - 2 - butanol 2 - Nj - 2 - u-(4) 3 - methyl - 2 - butanol 3 - Nj - 2 - u-

www.

eena

dupr

atibh

a.net



158. The increasing order of acidity among p - nitro phenol, m - nitro phenol, p - methyl

phenol and phenol is

p - jv--, m - jv--, p - Nj , - xy J v

(1) Phenol < p - methyl phenol < p - nitrophenol < m - nitrophenol

< p - Nj < P - jv-- < m - jv--

(2) p - methyl phenol < phenol < m - nitrophenol < p - nitrophenol

p - Nj < < m - jv-- < p - jv--

(3) p - methyl phenol < m - nitrophenol < phenol < p - nitrophenol

p - Nj < m - jv-- < < p - jv--

(4) m - nitrophenol < p - nitrophenol < phenol < p - methyl phenol

m - jv-- < p - jv-- < < p - Nj

, dil. NaOH HCN159. HCHO + CH3CHO X Y, NaOH H3O+

Where Y is \ Y C

(1) H C = C CH COOH (2) C2H5 CH COOH H H OH OH

CN

(3) CH3 CH COOH (4) CH3 C COOH OH OHww

w.ee

nadu

prati

bha.n

et



160. Addition of Grignard reagent to nitriles followed by hydrolysis yields

jwjq vT-f -Eo L, y -N-x- h p-C

(1) Primary amine wjK i (2) Secondary amine -K i (3) Carboxylic acid s-q-L x (4) Ketone

www.

eena

dupr

atibh

a.net

Documents

Eenadu Mock Engineering