Q.

If the velocity of light C, the universal gravitational constant G, and Planck's constant h are chosen as fundamental units, the dimensions of mass in this system are

Moderate

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a

h1/2C1/2G−1/2

b

h−1C−1G

c

hCG−1

d

hCG

answer is 1.

(Detailed Solution Below)

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Detailed Solution

h=ML2T−1,G=M−1L3T−2,C=LT−1∴ h1/2G−1/2C1/2=M1/2LT−1/2×M1/2L−3/2T1×L1/2T−1/2                                    =ML0T0= Mass
ctaimg
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