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# QUIZ 1: Electrostatics(#Free Test Series)

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## 5 Questions MCQ Test | QUIZ 1: Electrostatics(#Free Test Series)

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QUIZ 1: Electrostatics(#Free Test Series) - Question 1

### Two equal negative charges -q are fixed at points (0,-a) and (0,a) on y-axis. A positive charge Q is released from rest at the point (2a,0) on the x-axis. The charge Q will

QUIZ 1: Electrostatics(#Free Test Series) - Question 2

### Positive and negative point charges of equal magnitude are kept at (0,0,a/2) and (0,0,-a/2), respectively. The work done by the electric field when another positive point charge in moved from (-a,0,0) to (0,a,0) is.

QUIZ 1: Electrostatics(#Free Test Series) - Question 3

### An electron of mass me , initially at rest, moves through a certain distance in a uniform electric field in time t1 .A proton of mass mp  ,also initially at rest, takes time t2  to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio t1 /t2  is nearly equal to.

Detailed Solution for QUIZ 1: Electrostatics(#Free Test Series) - Question 3

Solution :- If the acceleration is a then the distance s travelled in time t is given by

S = 1/2at^2

Therefore for electron

S = ½ a(e)t2^1

And for Electron

S = ½ a(p)t2^2

Thus, t2/t1 = [a(e)/a(p)]^1/2.......... (1)

Force on electron in an electric field E

F(e) = eE

Thus the acceleration of the electron if its mass is

a(e) = F(e)/Me   => eE/Me

Similarly the acceleration of the proton

a(p) = F(e)/Mp  => eE/Mp

Therefore, a(e)/a(p) = Mp/Me

Therefore, from (1)

t2/t1 =(Mp/Me)^1/2

QUIZ 1: Electrostatics(#Free Test Series) - Question 4

Two charges, each equal to q, are kept at x=-a and x=a on the x-axis. A particle of mass m and charge q0=q/2 is placed at the origin. If charge qis given a small displacement y(y<<a) along the y-axis, the net force acting on the particle is proportional to

QUIZ 1: Electrostatics(#Free Test Series) - Question 5

A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to

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