HARD
12th West Bengal Board
IMPORTANT
Earn 100

Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side 'a'. The surface tension of the soap film is γ. The system of charges and planar film are in equilibrium, and a=kq2γ1N, where k is a constant. Find N.

Important Questions on Interaction of Charged Particles, Electric Field and Potential

HARD
12th West Bengal Board
IMPORTANT
A small ball of mass 2×10-3 kg having a charge of 1μC is suspended by a string of length 0.8 m. Another identical ball having the same charge is kept at the point of suspension. Determine the minimum horizontal velocity which should be imported to the lower ball so that it can make complete revolution 
EASY
12th West Bengal Board
IMPORTANT
Potential of an electric field is given by V=Ax2-y2, where x and y are coordinates of the points in the field and A is a constant having the right dimension. Find the electric field.
HARD
12th West Bengal Board
IMPORTANT
A uniformly charged thin wire is lying along Y -axis. The origin is at its mid-point. Find the intensity at the point P(x,0), given : λ= charge per unit length and 2ϕ= angle subtended by the wire at P.
HARD
12th West Bengal Board
IMPORTANT

A uniform electric field exists in the region between two oppositely charged plane parallel plates. An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate, 2 cm away from the first plate in an interval of 1.5×10-8 s. The electric intensity is

HARD
12th West Bengal Board
IMPORTANT

A uniform electric field exists in the region between two oppositely charged plane parallel plates. An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate, 2 cm away from the first plate in an interval of 1.5×10-8 s. The velocity of the electron when it strikes the second plate is

HARD
12th West Bengal Board
IMPORTANT
An α -particle of velocity 6 MeV approaches a gold nucleus (Z=79) . Calculate the distance x of its closest approach. What is the significance of this 'closest approach'?
HARD
12th West Bengal Board
IMPORTANT
Two equal positive charges are separated by a distance 2d. A particle having charge q is situated at a point in the perpendicular bisector plane of the two charges. Now find the radius of the circle in that plane along which the force on the charge q has maximum value.
HARD
12th West Bengal Board
IMPORTANT
At the four vertices of a square A B C D of side 2a, there are four point charges q,-q, q,-q in that order. Find the work done to take the four charges at the centre of the square.