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Question
If the velocity of light (c), gravitational constant (G) and Planck's constant (h) are chosen as fundamental units, then the dimensions of mass in new system is            
Options:
A .  c12G12h12
B .  c12G12h−12
C .  c12G−12h12
D .  c−12G12h12
Answer: Option C
:
C
LetmcxGyhz
by substituting the following dimentions :
[c] = LT1;[G] = [M1L3T2]and [h] = [ML2T1]
Now comparing both sides we will get
x = 12;y=12,z=+12
So mc12G12h12

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