A particle is moving along a straight line with initial velocity u and constant acceleration a. Derive the equation:
Define the dimensional formula of a physical quantity. Use dimensional analysis to check the correctness of the equation .
Derive Einstein’s mass-energy relation E = mc2. How does this equation relate to the concept of nuclear binding energy?
Describe the nature of electromagnetic waves. Write down Maxwell’s equations and explain how they show that light is an electromagnetic wave.
Explain Young’s double-slit experiment. Derive the expression for the fringe width 
and discuss how it depends on the wavelength λ of light.
Using the mirror formula, derive the relationship:
for a concave mirror. Define each term clearly.
Derive the expression for the average power consumed in an AC circuit containing a resistor R, inductor L, and capacitor C connected in series.
Explain Faraday’s law of electromagnetic induction. If the magnetic flux Φ through a coil changes from 5Wb to 3Wb in 0.1 calculate the induced EMF.
Using Biot-Savart’s law, derive the expression for the magnetic field at the center of a circular current-carrying loop of radius r and current I
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