**1.**Define Capillarity and angle of contact. Derive an expression for the ascent of a liquid in a capillary tube.

**2.**Give the principle of working of venturimeter. Obtain an expression for volume of liquid flowing through he tube per second.

**3.**Define the coefficients of linear expansion. Deduce relation between it and coefficient of superficial

expansion and volume expansion.

**4.**Define (i) Specific heat capacity (ii) Heat capacity (iii) Molar specific heatcapacity at constant pressure and at constant volume and write their units.

**5.**What is latent heat? Give its units. With the help of a suitable graph,explain the terms latent heat of

fusion and latent heat of vaporisation.

**6.**Show that there is always an excess pressure on the concave side of the meniscus of a liquid. Obtain an expression for the excess pressureinside (i) a liquid drop (ii) soap bubble (iii) air bubble inside a liquid.

**7**. State and prove Bernoullis theorem. Give its limitation. Name any two application of the

principle.

**8.**Define terminal velocity. Obtain an expression for terminal velocity of a sphere falling through a viscous liquid. Use the formula to explain theobserved rise of air bubbles in a liquid.

**9.**On what factors does the rate of heat conduction in a metallic rod in the steady state depend. Write the necessary expression and hence define the coefficient of thermal conductivity. Write its unit and dimensions.

**10.**Distinguish between conduction, convection and radiation.

**11.**Describe briefly carnot engine and obtain an expression for its efficiency.

**12.**Define adiabatic process. Derive an expression for work done during adiabatic process.

**13**. Why a gas has two principle specific heat capacities? What is the

significance of Cp – C

*v*and Cp/C*v*where symbols have usual meaning.**14.**What are the basic assumptions of kinetic theory of gases? On their basis derive an expression

for the pressure exerted by an ideal gas.

**15.**What is meant by mean free path of a gas molecule? Derive an expression for it.

**16.**Given that P =1/3pc

^{2}where P is the pressure, ρ is the density and c is the rms. Velocity of gas

molecules. Deduce Boyle’s law and Charles. Law of gases from it.

**17.**Show that for a particle in linear simple harmonic motion, the acceleration is directly proportional to its displacement of the given instant.

**18**. Show that for a particle in linear simple harmonic motion, the average kinetic energy over a period of oscillation, equals the average potential energy over the same period.

**19**.Deduce an expression for the velocity of a particle executing S.H.M when is the particle velocity (i) Maximum (ii) minimum?

**20**. Draw (a) displacement time graph of a particle executing SHM with phase angle φ equal to zero (b) velocity time graph and (c) acceleration time graph of the particle.

**21**.Show that for small oscillations the motion of a simple pendulum is simple harmonic. Derive an expression for its time period.

**22**.Distinguish with an illustration among free, forced and resonant oscillations.

**23.**In reference to a wave motion, define the terms

(i) amplitude (ii) time period

(iii) frequency (iv) angular frequency

(v) wave length and wave number.

**24**. Derive expressions for the kinetic and potential energies of a simple harmonic oscillator. Hence show that the total energy is conserved in

S.H.M. in which positions of the oscillator, is the
energy wholly kinetic or wholly potential?

**25**. What are standing waves? Desire and expression for the standing waves. Also define the terms node and antinode and obtain their positions.

**26**. Discuss the formation of harmonics in a stretched string. Show that in case of a stretched string the first four harmonics are in the ratio 1:2:3:4,

**27**. Give a qualitative discussion of the different modes of vibration of an open organ pipe.

**28.**Describe the various modes of vibrations of a closed organ pipe.

**29.**What are beats? How are they produced? Briefly discuss one application

for this phenomenon.