If pressure P, velocity of light C and acceleration due to gravity g are chosen as fundamental units, then dimensional formula of mass is
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a
PC3 g-4
b
PC-4 g3
c
PC4 g-3
d
PC4 g3
answer is C.
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Detailed Solution
MαPxCygz MαML-1 T-2xLT-1yLT-2z MαMxL-x+y+zT-2x-y-2z x = 1 - x + y + z = 0 ⇒ – 1 + y + z = 0 y + z = 1 ⇒ y = 1 – z – 2x – y – 2z = 0 y + 2z = –2x = –2 1 – z + 2z = –2 z = –3 y =4 MαPc4 g-3