__IMPORTANT LONG ANSWERS PART ONE__

__QUESTION NO. 21__**(a) Define rectangular components of a vector. Describe the method of addition of vectors by rectangular components.**

**(b) Explain scalar/dot product of two vectors. Write down its any four characteristics.**

__QUESTION NO. 22__**(a) Explain vector/cross product of two vectors. Write down its any four characteristics.**

**(b) Define torque. Calculate the torque due to force acting on a rigid body.**

__QUESTION NO. 23__**(a) Define isolated system. State and explain the law of conservation of linear momentum.**

**(b) Define elastic and inelastic collision. Explain elastic collision in one dimension to show that the relative velocities before and after collision are same.**

__QUESTION NO. 24__**(a) Discuss the elastic collision of two smooth balls in one dimension and find their velocities after the collision.**

**(b) Define projectile motion. Derive mathematical formula for its maximum height, time of flight, range and maximum range.**

__QUESTION NO. 25__**(a) Define gravitational field. Show that gravitational field is conservative OR the work done in gravitational field is independent of the path followed.**

**(b) Define energy. State and prove work-energy principle.**

__QUESTION NO. 26__**(a) Define absolute potential energy. Derive its mathematical expression.**

**(b) Explain inter-conversion of potential energy and kinetic energy.**

__QUESTION NO. 27__**(a) Define escape velocity and derive its formula. Also calculate its value on the surface of Earth.**

**(b) What is centripetal force? Derive relations for centripetal force and centripetal acceleration.**

__QUESTION NO. 28__**(a) What is rotational kinetic energy? Find the rotational kinetic energy of the disc and hoop.**

**(b) What are geo-stationary satellites? Derive the relation for radius of geo-stationary orbit.**

__QUESTION NO. 29__**(a) Define terminal velocity. Show that terminal velocity of a fog droplet is directly proportional to the square of its radius.**

**(b) State and explain equation of continuity.**

__QUESTION NO. 30__**(a) State and explain Bernoulli's equation.**

**(b) State and explain Torricelli's theorem.**

__QUESTION NO. 31__**(a) Define simple harmonic motion. Show that the motion of projection of a body moving along a circular path is SHM.**

**(b) Derive the expressions for instantaneous displacement, instantaneous velocity and instantaneous acceleration of a particle moving in a circle of radius xo.**

__QUESTION NO. 32__**(a) What is simple pendulum? Show that the motion of simple pendulum is SHM. Also find relations for its time period and frequency.**

**(b) Prove that energy is conserved for a body executing simple harmonic motion.**

__QUESTION NO. 33__**(a) What was Newton's formula for the speed of sound? What was drawback in it, how was it corrected by Laplace?**

**(b) What is interference of sound waves? Describe its types and conditions.**

__QUESTION NO. 34__**(a) Show that frequencies of stationary waves in a stretched string are quantized. (fn = nf1)**

**(b) What is Doppler effect? Describe its different cases.**

__QUESTION NO. 35__**(a) Describe Young's double slit experiment for demonstration of interference of light. Derive an expression for fringe spacing.**

**(b) Describe the principle, construction and working of Michelson's interferometer.**

__QUESTION NO. 36__**(a) Describe the diffraction of X-rays through crystals. Also derive Bragg's equation.**

**(b) What is compound microscope? Describe its construction and working. Also calculate its magnifying power.**

__QUESTION NO. 37__**Solve the following numerical problems.**

__QUESTION NO. 38__**Solve the following numerical problems.**

__QUESTION NO. 39__**Solve the following numerical problems.**

__QUESTION NO. 40__**Solve the following numerical problems.**

## No comments:

## Post a Comment