(a) Four point charges of $1 \mu \mathrm{C},-2 \mu \mathrm{C}, 1 \mu \mathrm{C}$ and $-2 \mu \mathrm{C}$ are placed at the corners $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D respectively, of a square of side 30 cm . Find the net force acting on a charge of $4 \mu \mathrm{C}$ placed at the centre of the square.

OR

(b) Three point charges, 1 pC each, are kept at the vertices of an equilateral triangle of side 10 cm . Find the net electric field at the centroid of triangle.

Derive an expression for magnetic force $\vec{F}$ acting on a straight conductor of length $L$ carrying current I in an external magnetic field $\vec{B}$. Is it valid when the conductor is in zig-zag form? Justify.

A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm . Calculate its magnifying power in normal adjustment and the distance of the image formed by the objective.

(a) Two energy levels of an electron in hydrogen atom are separated by 2.55 eV . Find the wavelength of radiation emitted when the electron makes transition from the higher energy level to the lower energy level.

(b) In which series of hydrogen spectrum this line shall fall?