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Force F between charges Q(1) and Q(2) se...

Force F between charges `Q_(1) and Q_(2)` separated by r is 25 N. It can be reduced to 5 N, if separation between them is made of

A

`(r )/(sqrt(5))`

B

`(r )/(2)`

C

2r

D

`sqrt(5)r`

Text Solution

Verified by Experts

The correct Answer is:
D
Given,
`F_(1)=25N, r_(1)=r, F_(2)=5N, r_(2)=?`
`:. F prop (1)/(r^(2)) rArr (F_(1))/(F_(2)) = ((r_(2))/(r_(1)))^(2)`
`rArr r_(2)^(2)=(F_(1))/(F_(2)) *r_(1)^(2)=(25)/(5) *r^(2) rArr r_(2)=sqrt(5)r`
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