Question

If velocity of light C, Planck's constant h and gravitational constant G are taken as
fundamental quantities then express mass in terms of dimensions of these quantities.
Main concept used: Homogeneity of dimensions in R.H.S and L.H.S. of equation separately in each terms.​

Answer 1

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Answer 2

Answer:

M= C^1/2 h^1/2 G^1/2

Explanation:

the dimension of c,g.h in term of M L aNd T

C = LT^-1                  EQ (1)

G= M^-1 L ^3 T^-2   EQ(2)

h=ML^2T^-1             EQ (3)

DIVIDE equation 2 by 1

G/c= M^-1 L^2 T ^-2 EQ (4)

AND DIVIDE THE eq 3 by eq 4

h/ (g/c)