State the principle of a cyclotron. Show that the time period of revolution of particles in a cyclotron is independent of their speeds. Why is this property necessary for the operation of a cyclotron?

What is space wave propagation? State the factors which limit its range of propagation. Derive an expression for the maximum line of sight distance between two antennas for space wave propagation.

1. In Young's double slit experiment, two slits are 1 mm apart, and the screen is placed 1 m away from the slits. Calculate the fringe width when light of wavelength 500 nm is used.
2. What should be the width of each slit in order to obtain 10 maxima of the double slits pattern within the central maximum of the single slit pattern?

A series LCR circuit with R = 20Ω, L = 1.5H and C = 35μF is connected to a variable-frequency 200V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit increases. Explain why.

Compare and explain three distinguishing features observed in Young’s double slit interference pattern with those seen for a coherently illuminated single slit producing diffraction pattern.

An inductor 200 mH, capacitor 500 µF, resistor 10Ω are connected in series with a100 V, variable frequency a.c. source. Calculate the

1. Frequency at which the power factor of the circuit is unity.
2. Current amplitude at this frequency.
3. Q-factor.

1. Define the term ‘intensity of radiation’ in terms of photon picture of light.
2. Two monochromatic beams, one red and the other blue, have the same intensity. In which case (i) The number of photons per unit area per second is larger, (ii) The maximum kinetic energy of the photoelectrons is more? Justify your answer.