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  4. √(2GM/R) has the dimension of

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Q. $\sqrt{\frac{2GM}{R}}$ has the dimension of

COMEDKCOMEDK 2004Gravitation

Solution:

We know that $\sqrt{\frac{2GM}{R}} = \upsilon_e$ , where $\upsilon_e$ is the sescape velocity.
Clearly $\sqrt{\frac{2GM}{R}}$ has the dimensions of velocity.