InterviewSolution
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InterviewSolution
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Two rings having masses `M` and `2M` respectively, having the same radius are placed coaxially as shown in the figure. If the mass distribution on both the rings is non-uniform, then the gravitational potential at point `P` isA. `-(GM)/R[1/sqrt2+2/sqrt(5)]`B. `-(GM)/R[1+2/2]`C. zeroD. cannot be determined from the given information |
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Answer» Correct Answer - A As all the points on the periphery of eigher ring are the same distance from point `P`, the potential at point `P` due to the whole ring can be calculated as `V=-(GM)//(sqrt(R^(2)+x^(2)))` where `x` is the axis distance from the centre of the ring. This expression is independent of the fact whether the distribution of mass is uniform or non uniform. So at `P,V=-(GM)/(sqrt(2)R)-(Gxx2M)/(sqrt(5)R)=-(GM)/R[1/(sqrt(2))+2/(sqrt(5))]` |
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