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Work done to bring 4 particles each havi...

Work done to bring 4 particles each having a mass of 0.1 kg from infinity to the vertices of sqaüre of side 0.2 m is

A

`1.8 xx 10^(-11)J`

B

`8.1 xx 10^(-11)J`

C

`-1.8 xx 10^(-11)J`

D

`-8.1 xx 10^(-11)J`

Text Solution

Verified by Experts

The correct Answer is:
C
`W = 4 xx P. E.` along sides `+ 2 xx PE` along diagonals
= `4 xx[(-"Gm"_(1)m_(2))/(0.2)]+2(-("Gm"_(1)m_(2))/(0.2 sqrt(2)))`
= `4 xx[(-(6.67 xx 10^(-11))(0.1)^(2))/(0.2)]+2[((6.67 xx 10^(-11))(0.1)^(2))/(0.2 sqrt(2))]`
= `1.33 xx 10^(-11)-0.47 xx 10^(-11)=-1.8 xx 10^(-11)J`
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