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Pft,ysies
PART
-
III
SECTION _
A
Single Correct
Choice Type
This
sectiott contains
9
multiple choice
guestions.
Each
question
has
4
choices
(A), (B),
(C)
and
(D)
for its
answer,
out
of
which
ONLY OIVE is
correct.
A
particle
with charge
q
and
rnass m starts its
motion
from
origin
with
a velocity V
=
ai.
n
unifom magnetic
fieicj
B=lr.*; exists everywhere
in
space.
The
component
of vetocity
vector in
y-direction
when the value of
z-coordinate becomes
maximum is
'6
+,
lul
o'1.1'Lf
CSt'/')
(D)
4.,6a
2. The
given
graph
shows the variation
of
Ji
us
z for
characteristics
X-
u,
rays, lines
1
,
2,
3,4
shown
in
the
graph
corresponds
to
any one
of
ko,
kp,
L,,, Lp,
Then Lp is represent
by
ror
*,
(c)
2v6a
(A)
line
1
$;{tine
t
18)
line
2
(D)
line
4
@Y(=
-_=g:
_)'
Jp(p
+2a)
(c)p=+
yP(P
+
2Q)
9_r]
(D) p=
--:+
jP(P
+
2Q)
(o.tr.ti
on,
3
M.
C-l
s(
ci
,A,
solid
hemisphere of weight
P
rests with its curved
surface in contact with
a
rough inclined
plane.
A weight
Q
is
placed
at
some
point
on ihe rim of
the
hemisphere
to
keep
its
plane
surface
horizontal then its
minrnrurn coefficient
of
friclion is
Rough
work
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4. The
position
of a
particle
rnoving
aleng x-axis depends on time as
x
=
211
-
e-3t).
Choose the
incorrect
statement.
(A)
Total displacernent
of the
particle
is 2 units
{B)
Totaldistance
covered by
particle
is
2
units
gB)
velocity of
the
particle
wili
change its
direction
at any instant.
iE)
velocity of
particle
will
not change
its direction throughout the motion.
A cylindricai
tube
(p*
=
4/3)
is
ciosed
at
its
both ends by two silvered
plane-convex
lens as shown
in
the figure. Refractive index
of lenses L1
and
L2 are 2.A
&
1.5
while
their radii
of
curvature
are
5
cm &
9
cm
respectively.
A
point
oblect is
placed
some where
at
a
point
O on the axis
of cylindrical tube.
lt
is found
that
the
object
and image coincides each
(
,
o
ftiC*
other.
177r*,octkL\
,
(pt'Position
of object
w.r.t.
Lr
is
10 cm
(D)
Position of objecl
w.r.t. L2 is 10 cm
(A)
Position
of object
w.r.t.
Lr
is
9 cm
(C)
Position of
object
w.r.t.
L2
is
9
cm
6. The
given
figure shows
an
inductor
and resistance
fixed
on
a
conducting wire"
A movable
conducting wire PQ
starts moving on the fixed
rails from
t
=
0 with
constant
velocity
1 rn/s. The
work done
by the external
force
on
the wire
PQ
in
2 seconds
is
aa
R
m'
=2Hp
R=243
t=zm
lffimrs
I
I
I[
a
aao'
E
rtl
,q)
16
J
ic)
48
J
32J
64J
Charge
Q
is
distributed on a small
hollow
conducting sphere (radius r)
as
shown
inside
a spherical
cavity of radius
rr
made
inside
a
solid
conducting sphere
of
radius 12
as
shown
in the figure.
The total energy
of
6
(D)
(B)
, ,;-d)
the system
is
'ir.o.'
#r)
ko,t+
*.)u)
/ 4
a
4\
{C) kQ'?l
'
*
'
* '
i
[2t,
4t,
2r
)
(D)
Ko, l'1*
1* i)
[',
rz 2'
)
ko,f1*a*1'l
[+r,
2t,
2r
)
Rough
work
gitT.rt{
l,id,
FIIIUEE
|louse,
29-A, Kslu
Soiroi Sarcapnga
Vilnr,
New Delli
-
16, PlL
4610600A,
26569193,
I:ux: 26513942
lVohsitc
t
tntnt
fiil
iee.uxn
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22
..A|-JS-FT-V(Paper-1
)-CM
P-llTJEE/1
2
B.
A cube
of mass
20
gm
wettable
by water floats on
the
surface of
water.
Each
face of the
cube is 3
cm
long.
The
distance
between lower
face of cube
and surface
of water is
(surface
tension
of
water
=
70 dyne/cm,
g
=
10 m/s2, assume contact
angle is
0.)
(A)
1.012
cm
(B)
1.631
cm
(D)
2.52 cm
DncPa\li
c\
cr
'
r\
c't
t c'-l
19X2tts
cm
9.
A
U-tube
of base length /
and
uniform
cross
sectional
area is
filled with
two
liquids
of
equal volume
and densities
p
&
2p
respectively. lt
is
moving with
an
acceleration
a
on the
horizontal
plane,
lf
the height
difference between
the two
surfaces
(open
to
atmosphere)
becomes
zero, then the
height
h
is
,\6?;;
-+
t
Assertion
-
Reason Type
This section contains
4
questions
numbeied
10
to
13.
Each
question
contains STATEMENT-I
(Asseftion)
and
STATEMENT-2
(Reason).
Each
question
has
4
choices
(A), (B), (C)
and
(D)
out
of
which
ONLY
ONE is correct.
10. STATEMENT-1
:
The specific heat capacity
of an ideal
gas
at constant
pressure
is always
greater
than the specific
heat capacity at constant volume.
and
STATEMENT-2: Work
is
done
on
the
gas
when its expands
(A)
Statement-1
is
True, Statement-2
is
True; Statement
$)x
(c)
{
g
I
i-.ci{
(D)#
ll{,rb-
-2
is a correct
explanation
for
Statement-'t.
(B)
Statement-1
is True, Statement-2
is True;
Statement
-2
is NOT
a
correct explanation
for
Statement-1.
.lC) Statement
-1
is
True, Statement-2 is False.
(D)
Statement
-1
is False,
Statement-2
is True.
Rough
work
SllllCC
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House,
29-A,
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P-
ITJ EE/1 2
STATEMENT-1:
ln a stationary wave
system, all the
particle
of
the medium
in
the
region between
two
nodes
vibrates
in the same
phase.
and
STATEMENT-2: All the
particles
of the medium have
maximum displacement simultaneously
at
some instant.
(A)
Statement-1 is
True,
Statement-2
is True;
Statement
-2
is
a
correct
explanation
for
Statement-1.
Statemenll is
True,
Statement-2
is True;
Statement
-2
is
NOT a correct explanation for
Statement-1
(C)
Statement
-1
is True,
Statement-2
is False.
(D)
Statement
-1
is
False, Statement-2
is True.
The
figure shows the
graph
of
potential gradient
for two
potentiometers
x
and
y.
Choose
the correct statement.
STATEMENT-'I:
y will be
preferred over
x
for
measuring
potential.
and
,^
,
J
STATEMENT-2:Sensitivity of
y
is
less than sensitivity of x.
t.t1oi,jl(A) Statemen 1 is True, Statement-2
is True; Statement
-2
is
a
correct
explanation
I
L,-
tlol
u"
)
statement-1 .
-
(B)
Statement-1 is
True,
Statement-2
is True;
Statement
-2
is NOT
a
correct
explanation
,Statement-1.
\lC)
Statement
-1
is True, Statement-2
is
False.
(D)
Statement
-1
is False, Statement-2
is
True.
13.
STATEMENT-1:A
solid sphere
of
radius
R
and
a
hollow sphere
of the
same material
of
inner
radius
r and outer radius R
are heated
to same temperature
and
then allowed
to cool, then both
will cool at the same
rate.
and
I
k UV
STATEMENT-2:
Rate of cooling
is
proportional
to surface
area.
I
I
-
(A)
Statement-1
is
True,
Statement-2
is
True;
Statement
-2
is
a correct
Statement-1.
(B)
Statement-'l is
True, Statement-2
is True;
Statement
-2
is
NOT a
correct
Statement-1.
(C)
Statement
-1
is True,
Statement-2
is False.
a9[6tatement
-1
is False, Statement-2
is
True.
11.
.
-ia^
l/"
12.
for
for
explanation
explanation
for
for
Rough
work
JEltCe
lid.,
FIITJEE
House,
29-A,
Kalu
Sarai,
Saruapiga Vitnr,
Neut
Delhi
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16,
Plt:
46106000, 26569493,
Fax:
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P -llT
J?El
12
Comprehension
TyPe
This
section
contains
2
groups
of
quesfions.
Each
group
has
3 multiple
choice
question
based on
a
paragraph. Each question
has
4
choices
(A),
(B), (C) and (D)
tor
ffs answer, out
of which Ol{ -Y
CNE
ls
carrect.
Paragraph
for
Question
Nos" 14 to
' 6
A
piston
weighing
3 kg
has
the form of
a circular
disc
of radius
R
=
4 crn.
The
disc
has
a hole into
which
a
thin
walled
pipe
of radius
1 cm
is inserted.
lnitially
the
piston
is at the
bottom
of the cylinder.
Now
700
gm
of
water
is
poured
into the
pipe.
14.
The
height to
which
the
piston
will
rise
is
(A)
5 cm
(C)
15
cm
(A)
50
ctn
(C)
60 cm
n
d)
to
",
(D)
20
cm
$/eo+
ps(74)
p,Lcc'1
5.
The length
of liquid
column
in the
pipe
is
approximately
(B)
54
cm
;f
o+
cm
16.
The
pressure
at the
bottom
of
the
cylinder
is
(p
=
density
of
liquid)
(A)
Po
+
pg(55)
(C)
Po
+
pg(70)
(B)
Po
+
p9159)
,V
Rough
work
l;lSttcG
Ltd.,
FTITJEE
House,29-A,
KaluSaroi,
SaruapigaVihar,
Neut Delli'16,
Ph 46106000,26569493,
Fax:
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s
ite
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TS-FT-V(Paper-1
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-llT
JEE|
12
Paragraph
for
Question
Nos.
t7 to 19
A cylinder fitted
with
a
piston
which can
slide without friction
contains,
one mole
of
an ideal
gas.
The walls
of the cylinder
and
piston
are
adiabatic.
The
cylinder
contains
a resistor
of
resistance
R
=
2
kC)
which
is connected to a
capacitor
of
capacity
C
=
75 mF. lnitially
potential
difference
across capacitor
is
[T)"
and
switch is open.
When
switch is closed
for
(2,5
ln 4) min,
the
gas
expands isobarically
and
its temperature
increases
by 72 K.
Heat loss
through the wires is
negligible.
(R
=
8.3 J
rnole-1
k
11
C=75
mF
17. Work
done by
the
gas
is approximately
(A)
0.2
kJ
(c)/.6
kJ
lncrynent
in
intemal
energy
of
gas
is
rJE{t
x't
(c)
3 kJ
The
value
of
adiabatic
exponent
y
for
gas
is
(A)
1.1
,,
18.
(B)
0.4
kJ
(D)
0.8
kJ
(B)
2
kJ
(D)
4
kJ
(B)
1.3
(D)
2.s
ficc$/
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26
4l
rs -F
J-y(I3pg
r.:
)a-M
P
ltT JEE| 1 z
SECTION
-
B
Matrix
-
Match
Type
,
Ihis
secfion
contains
3
guesfions.
Each
question
contains
statements
given
in
two mlumns, which
have to be matched.
The statements
in Column
I
are
labelled
A, B,
C and
D, while the statements
in
Column
ll
are labelled
p,
g,
r,
s
and t. Any
given
statement in
Column
I
can have
conec-t
matching with
OIVE
OR
MARE
$atement(s)
in
Column
ll.
The
dpgopriate
bubbtes
coresponding
to
the answers to
these
guesfibns
have
to
be
darkened
as
illustrated in the following
example:
lf
the
conect
matches
are A
-
p,
s and
t;
B
-
q
and r; C
-
p
and
q;
and
D
-
s
and t;
then
the
coned darkening af
bubbles will look
like the
following:
A
B
C
D
@ec@@
o@@oo
@@oo
will
be rnost eneroetic
amono the
four
in column
-
l.
will
be
least
eneroetic amono the
four
in column
-
L
will be more eneroetic than the
will be less
eneroetic
than
lG
ohoton
of
match the constant
maqnitude
includes azero magnitude).
Kzrt
il*.,
IrGiffriirir:i
(A)
i
=
cos(r,rt)i +sin(ot)i
+atl
(p)
Con$ant speed
(B)
i
=
5cos(rot)i
+
5
sln(ot)i
(q)
Helicalmotion
(c)
i=5at2i+2atj
(r)
Constant
magnitude
of tangentia
I
acceleration.
(D)
i
=
5cos(ot2;i +siniot?1i
(s)
Constant magnitude of
total
acceleration.
v
ln this
question
i represents the
position
vector of a
particle
and o and
a are some constants.
Now match the appropriate options:
(constant
maqnitude
includes a zero magnitude).
gru*stc'LJ,
A
particle
with charge
Q
is moving
in
fields
of
coinbination
given
below.
Match
for the
possible
.
Then match the
fvla-.:rrkErf-
Rough work
