Q.

If the velocity of light c, universal gravitational constant G and Planck’s constant h are chosen as fundamental quantities. The dimensions of mass in the new system is:

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a

h1/2c1/2G1

b

h1c1G1

c

h1/2c1/2G1/2

d

h1/2c1/2G1/2

answer is B.

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Detailed Solution

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Dimension formula of velocity of light =ML1T1
Dimension formula of Planck’s constant M1L2T1
Dimension formula of (G) constant =M1L3T2
Dimension formula of Mass =M1LT
from the options 

ch=ML3T-2

now  chG=ML3T-2M-1L3T-2=M2

M=chG12=c12h12G-12

 

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