class 11 second terminal examination physics

1. What do you mean by systematic error ?
2. Each side of a cube is measured to be 7.023m.  What is the total surface area of the cube to appropriate significant figures ?
3. State work-energy theorem.
4. Find the vector product of two vectors a=( 3i^-4j^+5k^) and  b =(-2i^ + j^-3k^)
5. Define universal gravitational constant.
6. State Newton's 2nd law of motion and explain force from it
7. Show the range of a projectile is maximum when θ=45
8. Io one of the satellite of Jupiter,has an orbital period of 1.769 days and radius of orbit is 4.22 x 10 ⁸ m . Show that mass of Jupiter is about one-thousandth that of the sun.
9. What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to is through one end. Given moment of inertia about its own axis is Ml2 /12.
10. Find the angle force F=(3i^+4j^-5k^) unit and displacement d=(5i^+4j^-3k^ ) unit.Also find the projection of F on d.
11. Derive an expression for potential energy of a spring
12. How will you find the centre of mass of triangular lamina ?
13. State Kepler’s law of planetary motion
14. Derive an expression for the relation between torque and angular momentum of rotation about a fixed axis.
15. Differentiate translational motion and rotational motion.
16. Derive an expression for  linear velocity and angular velocity of v and w.
17. Find the torque of a force 7i^ +3j^-5k^about the origin. the force acts on the particle whose position vector is i^-j^+k^.
18. A 1kg block is situated on a rough inclined is connected to a spring of spring constant 100 Nm-1 as shown in fig. The block is released   from rest with the spring in the unstretched position.The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the black and the incline .Assume that the spring has negligible  mass and the pulley is frictionless.
19. Derive an expression for orbital velocity and time period of a satellite
20. A rocket is fired vertically from the surface of mars with speed of 2km/s. If 20% of its initial energy is lost due to Martian atmospheric resistance , how far will the rocket go from surface or mars before returning to it ? Mass of mars =6.4x10 23 kg , radius of mars =3395 km ,G = 6.67x10 11 Nm2kg-2.
21. State and explain law of conservation of energy in the case of a freely falling body.
22. State and explain the laws of (a) kinetic energy (b) static friction.
23. Derive an expression for acceleration due to gravity with respect to (a) variation with altitude ‘h’  (b) variation with depth ‘h’
24. State law of conservation of angular momentum  for a rotating body.
25. Briefly describe an elastic collision in one dimension and find the relation between initial and final velocities before and after collision and discuss the following cases.   (a)The masses of colliding bodies are equal.  (b) The target body is initially at rest.
26. A rear side of a truck is open and a box of 40 kg mass is placed 5km away from the open end as shown in fig.the co-efficient of friction between the box and the surface below it is 0.15 . On a straight road the truck starts from rest and accelerates with 2m/s 2. At what distance from the starting point does the box fall off the truck ? Ignore the size of the box.
27. a. State perpendicular axis  theorem and parallel axis theorem.   b .Derive an expression for moment of inertia of a ring about its diameter. c.The oxygen molecule has a mass of 5.30 x10 –26 kg and a moment of inertia of 1.94 x10 –46 kgm 2 about an axis through its centre , perpendicular to the line joining the two atoms. Suppose the mean speed of such a molecule in gas is 500 m/s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation.Find the average angular velocity of the molecule.
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