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In above question 1, find the speed of e...

In above question 1, find the speed of each speed of each particle, when the separation reduces to half its initial value

A

`sqrt((Gm)/(d))`

B

`sqrt((2Gm)/(d))`

C

`sqrt((Gm)/(2d))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Increase in kinetic energy of both particles = decrease in gravitational potential energy
`:. 2((1)/(2)mv^(2))=U_(i)=U_(f)=-(Gmm)/(d)+(Gmm)/((d)/(2))=(Gm^(2))/(d)`
`:. v=sqrt((Gm)/(d))`.
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