In a system of units, the Plancks constant (h), the gravitational constant (G) and the speed of light(c) are taken as the fundamental units. The dimensional formula of force in this system of units?
A
h0G−1c4
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B
h−1G0c4
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C
h−1G4c0
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D
h4G2c−2
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Solution
The correct option is Ah0G−1c4 h=M1L2T−1 c=LT−1 G=M−1L3T−2 Force=hαGβcγ (M1L1T−2) α=0,β=−1,γ=4.