check the accuracy of the relationship v=2rg where v is velocity r is radius g acceleration due to gravity
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Explanation:
We know v = k garb where K is a dimensionless constant.
[v] = [garb]
[L T −1] = [(LT −2)a Lb]
If we equate the powers on both sides we get
a+b = 1
-1 = -2a
On solving we get a= ½ and b = ½
Therefore, v α (gr)1/2
So v2/rg is dimensionless.
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