The escape velocity 'v' of a body depends upon (1) the acceleration due to gravity (g) of the planet and (2) the radius (R) of the planet . Use the method of dimensions to obtain a relation between v,g and R.
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V =KGa Rb
M0LT-¹=M-a L3a-b T- a
3a-b =1. ...L=1(power of L is 1)
-2a =-1
a = ½ similarly b =3\2
V = K G½ R3\2
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