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ISC Class Prelims 2021 : Physics (Bishop Cotton Girls School (BCGS), Bangalore)

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Bishop Cotton Girls' School (BCGS), Bangalore

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BISHOP COTTON GIRLS SCHOOL SCHOOL FIRST TERM EXAMINATION [ONLINE] Std XI PHYSICS 11-01-2021 Marks :70 Reading time:10min Writing time: 3Hrs Candidates are allowed additional 20 minutes for uploading the paper. Answer sheets should be uploaded as a single PDF only in assignments Name your PDF [ name subject] Answer all the questions Section A Question 1 Choose the correct alternative: [5] 1. Which of the following physical quantities is not represented by the dimensional formula [M 0L0T-1] ? a) Strain b) Angular velocity c) Frequency d) velocity gradient 2. The component r of a vector along the X axis will have maximum value if : a) r is along the +ve Y axis b) r is along the +ve X axis 0 b) r makes an angle of 45 with the X axis d) r is along the -ve Y axis 3. During inelastic collision between two bodies which of the following quantities always remains a constant? a) total kinetic energy b) total mechanical energy b) total linear momentum d) speed of each body 4. Two spheres of masses m and M are situated in air and the gravitational force between them is F. If the space around the masses is now filled with a liquid of relative density 3, the gravitational force between them will be : a)3F b) F c) F/3 d) F/9 5. A missile is launched with a velocity less than escape velocity. The sum of its kinetic and potential energies will be: a) positive b) negative c) zero d) may be positive or negative Answer in brief: [7] i. State the law of triangle of vectors. ii. At which point along the path of a projectile will the velocity and acceleration be perpendicular to each other? iii. Magnitude of the force experienced by a certain object moving with a speed v is given by F = k v2 . Find the dimensions of k . iv. Static friction is a self-adjusting force . Comment. v. If the same force acts on two bodies of masses 2kg and 4kg initially at rest, calculate the ratio of time taken by the bodies to attain the same final velocity. vi. A wheel of mass 10kg has a moment of inertia of 160kgm2 about its own axis. Calculate its radius of gyration. vii .Express Newtons law of gravitation in the vector form. Section B [ Questions 2 -12 carry 2 marks each with one question having an internal choice.] 2. Define power and express it in the vector form. 3. Check the correctness of the equation using the method of dimensions V = k / v= velocity of sound , E -modulus of elasticity and =the density of the medium. 4. What will be the relative velocity between two bodies A and B moving with the same velocity in the same direction ? Draw the position time graph of the two bodies. =3 +a -5 be 5. For what value of a will the vectors = 2 -3 +5 and perpendicular to each other ? 6. Show graphically the variation of P.E and K.E of an oscillating mass spring system. 7.A body of mass 10kg is acted upon by two perpendicular forces 6N and 8N. Calculate the resultant acceleration of the body. 8. A stone tied to one end of a string 2.5m long is whirled in a vertical circle. What must be the minimum speed at the highest point so that the string may remain tight? [g=10ms-2] 9.. If the diameter of earth becomes three times its present value and its mass remains unchanged, then how would the weight of an object on the surface of earth be affected OR At what height above the surface of earth will the acceleration due to gravity reduce to 16% of its value on the surface of earth [Re = 6400km] 10. How will you define gravitational intensity at any point? What is its dimensional formula? 11. A torque of 0.02kg-m acts on a thin ring of mass 5kg and diameter 0.2 m rotating about its central axis . Calculate the acceleration of the ring. 12. Define centripetal force and write expressions for it in terms of : a) angular velocity b) frequency of rotation Section C [ Questions 13-19 carry 3 marks each with one question having an internal choice.] 13. A projectile thrown at an angle with the horizontal has a range R and maximum height H. Show that the tangent of the angle of projection is given by 4H/R 14 B P A A block of mass m is being pulled up an inclined plane AB by a force P acting parallel to the surface .If is the coefficient of friction between the block and the plane, derive an expression for the work done by the force in moving the block through a distance along the inclined plane. 15. Determine the x and y coordinates of the center of mass of a system of three particles of masses M, M and 2M, placed at the vertices of an equilateral triangle of side 1m 2M M M OR Two point masses of 4kg and 7kg are in motion along the same straight line with velocities 2m/s and 3m/s. Find the speed of the center of mass of the system when both the masses are moving (i) in the same direction (ii) in opposite direction . 16. Two blocks of masses 0.5kg and 2kg are attached at the two ends of a compressed spring. The elastic potential energy stored in the spring is 10J.Find the velocity of each block if the spring is released. 17. State the law of conservation of angular momentum and illustrate with an example. 18. State the conditions for a satellite to be geostationary. How is a polar satellite different from a geostationary satellite? 19 The mass of a planet is 5x 1024 kg and its radius is 6.1x106 m. Calculate i) The energy required to send a 2kg mass from the surface into space? ii) The escape velocity from the surface of the planet? [ G = 6.67x10-11N m 2kg -2 ] Section D [ Questions 20 -22 carry 5 marks each with one question having an internal choice ] 20 A force F acting on a particle of mass 100 g initially at rest is plotted against time as shown in figure 6 3 F 0 2 44 6 8 3 t (s) a) What does the area enclosed by the curve with the time axis represent? b) Determine the change in momentum of the particle in 8 seconds c) Calculate the velocity of the particle at the end of 8 seconds. (ii) A 30 kg shell is flying at 48m/s . when it explodes one part of 18kg comes to rest while the remaining part moves on . Find the velocity of the latter. 21 A satellite of mass m is orbiting earth of mass M and radius R at a height h above the surface of earth.. Derive expressions for (i) The orbital velocity (ii) The time period of the satellite. OR Why does a cyclist bend while negotiating a curve? Obtain an expression for the angle through which the rider should lean . (ii) Why does the rider slowdown and take a path of large radius while taking a turn? 22 What do you mean by moment of inertia of a body? Discuss its physical significance (ii) obtain a relation between moment of inertia and kinetic energy of a body when it rotates with an angular velocity .

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