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Using the dimensional analysis, check wh...

Using the dimensional analysis, check whether the following equation is correct or not: `T=2pisqrt(R^(3)//GM)`.

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To check the correctness of the equation \( T = 2\pi \sqrt{\frac{R^3}{GM}} \) using dimensional analysis, we will analyze both sides of the equation in terms of their dimensions. ### Step 1: Identify the Left-Hand Side (LHS) The left-hand side of the equation is \( T \), which represents the time period. The dimension of time is given by: \[ [T] = M^0 L^0 T^1 \] ...
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