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A particle of mass 2 g and charge 1 muC ...

A particle of mass 2 g and charge `1 muC` is held at rest on a frictionless surface at a distance of 1m from a fixed charge of 1 mC. If the particle is released it will be repelled. The speed of the particle when it is at distance of 10 m from fixed charge is :

A

`100 ms^(-1)`

B

`90 ms^(-1)`

C

`60 ms^(-1)`

D

`45 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Loss in EPE = gain in KE
`K_s+V_s=K_c+V_c, 1/2 mu^2 +q.q/(4 pi e_0 R)=0+q. (3q)/(8 pi e_0R), 1/2 mu^2=1/8. q^2/( pi e_0R)`
`u^2=q^2/(4 pi e_0 mR) implies u= q/ sqrt(4 pi e_0 mR)`
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