Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational fiel

Question

Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational fiel

Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is:
A. `-(4Gm)/(r)`
B. `-(8Gm)/(r)`
C. `-(16Gm)/(r)`
D. `-(32Gm)/(r)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`(M)/(m)=((x)/(2-x))^(2)`
`9=((x)/(r-x))^(2)`
`3=(x)/(r-x)`
`3r-3x=x`
`3r=4x`
`x=(3)/(4)r`
`:.y=(1)/(4)r`
`v=-(GM)/(x)-(Gm)/(y)`
`=-G[(9m)/((3)/(4)x)+(m)/((1)/(4)r)]`
`=-(Gm)/(r)[12+4]`
`=(16Gm)/(r)`

4 views Answered 2023-02-05 15:29