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KENDRIYA VIDYALAYA NO. :- 1, BHOPAL Half Yearly Examination November- 2016 Class XI (Physics) Time : 3 Hrs. M.M. 70 General Instructions 1. 2. 3. All questions are compulsory. There are 16 questions in all. This question paper has five sections. Section 'A' contains five questions of one mark each. Section 'B' contains Five question of two marks each. Section 'C' contain twelve questions of three marks each. Section 'D' contain one value based question of four marks. Section 'E' contains three questions of five marks each. 4. There is no overall choice. However, an internal choice has been provided, one question of two marks, one question of three marks and all three questions of five marks. You have to attempt only one of the choices in such question. SECTION 'A' 1. 2. 3. 4. 5. Define principal of Thrust in physics “ REDUCTIONISM”. Define Impulsive force. Draw a position time graph for an object showing “motion with positive acceleration”. Define law of conservation of angular momentum. Define bulk modulus. Section –‘B’ 6. What is light year. Write its value in terms of S.I. units of Distance. 7. Explain Parallax method to determine large distances 8. Rain is falling vertically with a speed of 35 m s–1. Winds starts blowing after sometime with a speed of 12 m s-1. In east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella? 9. Find the magnitude and direction of the resultant of two vectors A and B in terms of their magnitudes and Angle θ between them OR A motorboat is racing towards north at 25 km/h and the water current in that region is 10 km/h in the direction of 60° east of south. Find the resultant velocity of the boat. 10. State and prove work energy - theorem. Section – ‘C’ 11. Write about three fundamental forces in nature. OR Write about major contribution/discovery of the following scientists. 1. Shri J.C. BOSE 2 Shri C. V. RAMAN 3. SHRI M. N. SAHA 4. SHRI S. N. BOSE 5.Shri Homi Jehangir Bhabha 6. Shri S. Chandrasekhar 12. Define absolute error, relative error and percentage error then calculate all these three in this following case:- Students measure the period of oscillation of a simple pendulum. In successive measurements, the readings turn out to be 2.63 s, 2.56 s, 2.42 s, 2.71s and 2.80 s. 13. Derive equation of motion with constant acceleration with graphical method. 14. Write a short note on relative velocity of two objects. Draw the velocity time graph for two objects with unequal velocities showing the time of meeting. Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km h–1, and train B moves south with a speed of 90 km h–1. What is the (a) velocity of B with respect to A ?, (b) velocity of ground with respect to B ?, and (c) velocity of a monkey running on the roof of the train A against its motion (with a velocity of 18 km h-1 with respect to the train A) as observed by a man standing on the ground ? 15. The position of a particle is given below where t is in seconds and the coefficients have the proper units for r to be in metres.(a) Find v(t) and a(t) of the particle. (b) Find the magnitude and direction of v(t) at t = 1.0 s. 3.0 t iˆ +2.0 t2 ĵ + 5.0 k̂ . 16. What do you mean by centripetal acceleration derive expression for it. 17. State newton’s 2nd Law of motion and derive expression for force. Calculate the average resistive force exerted by the block on the bullet when A bullet of mass 0.04 kg moving with a speed of 90 m s-1 enters a heavy wooden block and is stopped after a distance of 60 cm. 18. What is banking of a road. Derive expression for maximum possible speed on banked road. 19. A woman pushes a trunk on a railway platform which has a rough surface. She applies a force of 100 N over a distance of 10 m. Thereafter, she gets progressively tired and her applied force reduces linearly with distance to 50 N. The total distance through which the trunk has been moved is 20 m. Plot the force applied by the woman and the frictional force, which is 50 N versus displacement. Calculate the work done by the two forces over 20 m. 20. What are elastic and inelastic collisions. Derive expression for speed of bodies after elastic collision in one dimension. 21. What is escape velocity derive expression for it. Calculate its approximate value for surface of earth. 22. Derive the expressions for variation in value of “g” with height and depth from the surface of earth. Section- ‘D’ 23. Suraj went to Big Bazaar to purchase certain goods .There he noticed an old lady struggling with her shopping. Immediately he showed her the lift and explained to her how it carries the load from one floor to the next. Even then the Old lady was not convinced. Then Suraj took her in the lift and showed her how to operate it. That old lady was very happy. a). What values does Suraj possess? b). A man of mass 80 kg stands on a weighing machine in a lift.which is moving (i) upwards with uniform speed of 10 m/s2 (ii) downwards with a uniform acceleration of 5 m/s2 (iii) upwards with a uniform acceleration of 5 m/s2 . What would be the reading on the scale in each case?(Take g= 10 m/s2 ) Section –‘E’ 25. (a) State perpendicular and parallel axis theorem of Moment of inertia. What is the moment of inertia of a ring about a tangent to the circle of the ring? (b) Three bodies, a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity? (a) (b) OR A metre stick is balanced on a knife edge at its centre. When two coins, each of mass 5 g are put one on top of the other at the 12.0 cm mark, the stick is found to be balanced at 45.0 cm. What is the mass of the metre stick? Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge. 26. a) Define stress and strain and its different types b) Draw stress strain curve and define the following points 1) yield strength 2) Tensile strength 3) permanent set OR (a) Define young modulus of elasticity. Explain which is more elastic “ Steel or Rubber”. (b) A copper wire of length 2.2 m and a steel wire of length 1.6 m, both of diameter 3.0 mm, are connected end to end. When stretched by a load, the net elongation is found to be 0.70 mm. Obtain the load applied. Given that Value of Young’s Modulus for Copper and steel are 1.1 ×1011 N-m-2 & 2.0 ×1011 N-m-2 repectively.