## Class XI Physics Important Questions

14. Derive a relation between rotational Kinetic Energy of a

rigid body and its moment of inertia?

15. Calculate the work done in splitting a drop of water of

radius 1 cm to 10^{6}

droplets. Given surface Tension of water =

0.072 *N/m.*

17. State Camot's theorem. Calculate lhe efficiency of a

Carnat's engine working between temperatures O^{0}C and 100°C.

18. Show that the vertical oscillations of a loaded spring are simple

harmonic.

19. Derive the equations of motion.

1. V=u+at

2. s = ut + 1/2 at^{2}by graphical method.

20. Derive an expression for the horizontal range of

a projectile and calculate the angle at Projection for obtaining maximum

horizontal range.

21. Calculate the

acceleration of the body and tension in the string in the following diagram.

Given g = 10 *mls ^{2}. *

Assume that there is no friction.

22.

Derive an expression for F in the following diagram to give an acceleration a to

the body of mass m if the co-efficient of friction between the body and the

inclined

plane is *µ** *and the angle made by the inclined plane with the horizontal is *θ*

*23. *Derive an expression for the

velocities after a perfectly elastic collision between two bodies of masses m,

and rn, moving with velocities u_{1} and u_{2} in the same direction.

24. A dumb - bell formed by two masses 2

kg each separated by a massless rod 20 cm long is rotating with angular velocity

10 rad/s about an axis passing through the mid point of the rod and perpendicular to its length. What

will be

the new angular velocity if

each mass is suddenly displaced by 5 cm towards the centre.

*26. *

The moment of inertia of a ring of mass 1 kg is 10-4 kg m2

about an axis passing through its centre and perpendicular to its plane. Calculate its

radius. What will be its moment of inertia about an axis.

a. along its diameter.

b. Along its tangent

25. Describe the variation of acceleration due to gravity (g)

with depth and draw a graph showing the variation of g as one moves outwards from the

centre of earth. (gv5 r graph)

Assuming that the VISCOUS force F of a spherical body moving through a

liquid depends on

1. the co·efficient of viscosity *('1) *of

Hquid

2. the radius (r) of the spherical body.

3. the speed (v) of the body, derive an expression for F (stokes

law) by the method of dimensions.

27. Describe the principle of Carnot's refrigerator with diagram

and derive expression for its co-efficient of performance.

28. What is Doppler effect? Derive expression for the apparent

frequency sensed by a stationary listener when the source is (a) approaching and (b)

receding,

OR

a. What are damped oscillations ? Draw graph showing the

variation of displacement with time for damped harmonic oscillations.

b. Derive expression for displacement, velocity and acceleration

in SHM using circle of reference concept.

29. a. State any four postulates of kinetic theory of gases.

b. Derive an expression for pressure exerted by ail ideal gas in

a container using kinetic theory of gases.

OR

a. Derive Boyle's Law and Charles law using kinetic theory of

gases.

b. Explain the kinetic interpretation of temperature and hence

define absolute zero?

c. Calculate the average kinetic energy of a molecule of an ideal gas at 400

k ?