One mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen ? (Take the size of hydrogen molecule to be about 1 Å). Why is this ratio so large ?

5

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Find an expression for viscous force F acting on a tiny steel ball of radius r moving in a viscous liquid of viscosity \(\eta \) with a constant speed v by the method of dimensional analysis.

5

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Briefly explain how you will estimate the molecular diameter of oleic acid.

5

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The speed-time graph of a particle moving along a fixed direction is shown in Fig. Obtain the distance traversed by the particle between
(a) t = 0 s to 10 s.
(b) t = 2 s to 6 s.

What is the average speed of the particle over the intervals in (a) and (b)?

5

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Derive the three basic kinematic equations by calculus method.

5

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State Newton's second law of motion. How does it help to measure force? Also state the units of force.

5

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If the linear momentum of a body increases by 20% what will be the % increase in the kinetic energy of the body?

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Two particles A and B of masses m and 2m, are moving along the X and Y-axes, respectively with the same speed of v. They collide at the origin and coalesce into one body after the collision. What is the velocity of the coulesced mass? What is the loss of energy during this collission?

5

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What do you mean by the term "equilibrium"? What are equilibrium of rest and equilibrium of motion? State the conditions for complete equilibrium of a body

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