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Q.

A quantity  f is given by  f=hc5G where c is speed of light, G universal gravitational constant and h is the Planck’s constant . Dimensions of f is that of:

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a

energy

b

momentum

c

area

d

volume

answer is A.

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Detailed Solution

f=hc5G​we know, dimension of ​h= M1L2T−1​,c=M0L1T−1,​G=M−1L3T−2​∴f=M1L2T−1×M0L1T−15M−1L3T−2=M1L2T−2    which is the dimension of energy.
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