Distinguish rigid and non rigid body. Derive an experssion for rotational kinetic energy and discuss the condition for conservation of energy. A wheel of radius 0.4 m and moment of inertia 1.2 kg-m²  pivoted at rthe center, is free to rotate without friction. A rope is wound around it and a 2-kg weight is attached to the rope. When the weight has descended 1.5 m from its starting position, find the rotational velocity of the wheel.

Setup Schrodinger equation for Hydrogen atom using spherical polar coordinate. Separate radial and angular part of this equation using appropriate seperation constant. Discuss the separation constant and hence the quantum numbers associated with these two equations.What information can be drawn from the angular part of Schrodinger equation ? Explain .

What are RTL and TTL  gates. How memory and clock circuits can be made by using these gates? Show it. Explain the working scheme. Is it true that the TTL logic gates are typically fabricated onto a single integrated circuit(IC).

Describe classical free electron model.

How electric and magnetif fields are incorporated in electromagnetic wave? Explain.

Describe the following process of IC production: (a) Oxidation and (b) Doping. Explain photolithography in brief.

An oscillating block of mass 250 g takes 0.2 sec to move between the endpoints of the motion, which are 50 cm apart. Find the frequency and amplitude of the motion. what is the force constant of the spring?

A potential difference of 100 V is established between the two plates one being the high potential plate. An alpha particle of charge q = 3.2 × 10^-19 C is released from one plate to another plate. What will be the velocity of the alpha particle when it reaches plate? The mass of the proton is 6.70-x 10^-19 kg.

Calculate uncertainty in the momentum of electron if uncertainty in its position is 1Å  (10^-10).

A current of 50A is supplied in a slab of copper 0.5cm thick and 2 cm wide is placed in a magnetic field B of 1.5 T. The magnetic field is perpendicular to the plane of the slab and to the current .The free electron concentration in copper is 8.4 × 10²⁸ electrons/m³? . What will be the magnitude of the Hall voltage across the width of the slab?

Sodium has a body–centered cubic structure with a one–atom basis .The density and atomic weight of sodium are 0.971g/cm³ and 23 g/mole. What is the length of the unit cube of the structure?

The output of a digital circuit (y) is given by this expression:

y = (C+ B’A) (A + B + D)’

Where A, B, C and D represent inputs. Draw a circuit of above equation using OR, AND and NOT gate and hence find its truth table.