Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has dimension of length [2016]

Question:

3.Planck’s constant (h), speed of light in vacuum (c) and Newton’s gravitational constant (G) are three fundamental constants. Which of the following combinations of these has dimension of length [2016]

Options :

a) √[Gc]/[h^3/2]
b) √[hG]/[c^3/2]
c) √[hG]/[c^5/2]
d) √[hc]/[G]

Answer :

b) √[hG]/[c^3/2]

Answer Steps :

Method1 :-

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Method2 :-

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