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
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a
h1/2C1/2G−1/2
b
h−1C−1G
c
hCG−1
d
hCG
answer is A.
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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