Question

Two identical charged spheres suspended from a common distance d(d<<1) apart because of their mutual repulsion. The charged begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as

A
vx12
B
vx
C
vx12
D
vx1
Solution
Verified by Toppr

Was this answer helpful?
0
Similar Questions
Q1
Two small equally charged spheres, each of mass mm, are suspended from the same point by silk threads of length l. The distance between the spheres x << l. Find the rate dqdt with which the charge leaks off each sphere if their approach velocity varies as v=ax, where a is a constant (k=14πε0).
View Solution
Q2

Two identical charged spheres suspended from a common point by two massless strings of length l, are initially at a distance d(d<<l) apart because of their mutual repulsion. The charges begins to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres as

View Solution
Q3

Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d(d<<l) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Which of the following correctly represent the variation of v as a function of the distance x between the spheres.

View Solution
Q4

Two similar balls, each of mass m and charge q, are hung from a common point by two silk threads, each of length l. Prove that separation between the balls is x=[q2l2πε0mg]1/3, if θ is small.
Find the rate dq/dt with which the charge should leak off each sphere if the velocity of approach varies as v=a/x, where a is a constant

View Solution
Q5

Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d(d<<) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity v. Then as a function of distance x between them:

View Solution
Solve
Guides