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Questions  

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

a
h1/2C1/2G−1/2
b
h−1C−1G
c
hCG−1
d
hCG

detailed solution

Correct option is A

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

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