PRACTICE PAPER FOR CLASS XI-BAHRIA MODEL COLLEGE K-N-C-R-E TIME 2 HOURSTOTAL = 1001. A diver leaps from a lower with an initial horizontal velocity component of 7m/sec and upward velocity component of 5m/sec. Find the components of his velocity along x and y axis after 1.5 sec.2. A body hanging from a spring is set into motion and the period of oscillation is found to be 0.50sec. After the body has come to rest, it is removed. How much shorter will the spring be when it comes to rest3. When an object is thrown upward, it rises to a height h How high is the object, in terms of h when it has lost one third of its original kinetic energy.4. A helicopter weighs 3920 N. Calculate the force on it if it is ascending vertically at a rate of 2 m/s2.What will be the force on helicopter if it is moving vertically with constant speed of 4 m/sec?5. Write the Dimension of the following (a)Pressure(b) (c)Torque Density (d) Bulk Modulus6. An astronomical telescope has the magnification of 100, the power of it objective is 02 diopters. What is the focal length of eye piece and the length of the telescope? 7. Two sides of the triangle are formed by the vector A= 2i 3j+2k and the vector B= i j + 5k, determine the area of the triangle.8. Find the speed of sound in air at 0 Co Given that =1.4 for air, molecular mass of air M=0.0288kg/mol and R=8.31j/mole.k .9. A 50 gram Bullet is fired into a 10kg block that is suspended by a long chord so that it can swing as a pendulum. If the block is displaced so that its center of gravity rises by 10cm, what was the speed of the bullet?10. A note of frequency 550 Hz is being emitted by an ambulance moving toward a listener at rest. If the listener detects a frequency of 526 Hz, calculate the speed of the ambulance (take the speed of sound in air to be 340 m/s )11. Define the Cross product of vectors and show that:( = . + . 12. Find the speed of sound in air at 10O C and 50O C. If the speed of sound at 0oC is 332m/s.13. An astronomical telescope has the magnification of 100, the power of it objective is 02 diopters. What is the focal length of eye piece and the length of the telescope? 14. When the light of wavelength 6000A0 falls on a diffraction grating, it produces a second order spectrum at an angle 300 with the normal. Find the grating element and the number of lines per millimeter ruled on it.15. A note of frequency 750 Hz is being emitted by an ambulance moving toward a listener in a car. If the listener detects a frequency a frequency of 826 Hz, calculate the speed of both if they possess same velocity (V= 340 m/s)