InterviewSolution
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InterviewSolution
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From the dimensional consideration, which of the following equations is correct?A. `T=2pisqrt(R^(3))/(GM)`B. `T=2pi sqrt(GM)/R^(3)`C. `T=2pi sqrt(GM)/(R^(2))`D. `T=2pi sqrt(R^(2)/(GM)` |
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Answer» Correct Answer - A Taking, `T=2pi sqrt(R3)/(GM)` substituting the dimensions, `LHS=[T]RHS2pi|sqrt(R^(3)/(GM))|=sqrt([L]^(3)/([M^(-1)L^(3)T^(-2)][M]))=sqrt([T]^(2))=[T]` `Thus, LHS=RHS for `T=2pisqrt(R^(3)/(GM))` |
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