Physics-I

Semester - I 

MECHANICS& PROPERTIES OF MATTER 

Important Questions 

Unit-I

Essays

1. Define curl of a vector field and derive its equation? 
2. Define divergence of a vector field and derive its equation?
3. State and prove Stokes theorem
4. state and prove Gauss theorem
5. state and prove Greens theorem

Shorts

1. Define vector integration? (Updated Soon)
2. Define scalar and vector field? Give example for each.
3. Show that ∇ . →r=3?(given → r = ix+jx+kz)

Unit-II

Essays

1. Explain about motion of rocket
2. define impact parameter and scattering cross section.
3. derive an expression for the Rutherford scattering cross section
4. define collision discuss the elastic in two dimensional collision.

Shorts

1. system of variable mass
2. write a short note on multi stage rocket

Unit-III

Essays

1. define torque and angular momentum? relation between torque and angular momentum derivation OR (torque on a rigid body)
2. explain Euler's equations
3. explain about symmetric top
4. relation between elastic modulation

Shorts

1. show that Τ = I α 
2. write a short note on precession of the equinoxes.
3. explain about gyroscope.
4. explain about Hooks law.
5. classification of beams.
6. define elastic constants in solids.

Unit-IV

Essays

1. define central force? show that central force is conservative force.
2. what is central force? derive the equation of motion for the particle under central force
3. what is Kepler's law and prove 1st law planetary motion.

Shorts

1. show that the conservative force is equal to negative of potential energy gradient.
2. if the radius of the earth around the sun is halved.find the new time period.

Unit-V

Essays

1. state postulates of special theory of relativity. Derive Lorentz transformation equation.
2. describe Michelson Morley experiment and write its result.
3. what is relativistic mass and derive its expression.
4. write a note on addition of velocities 
5. Einstein mass energy equation

Shorts

1. explain about length constraction
2. Explain Time delation

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