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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)` |
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Answer» 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)` |
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