# If c is the velocity of light, h is Planck’s constant and G is Gravitational constant are taken as fundamental quantities…

Q: If c is the velocity of light, h is Planck’s constant and G is Gravitational constant are taken as fundamental quantities. Them the dimensional formula of mass is

Sol. c = [LT-1 ] …(i)

h = [ML2 T-1 ] …(ii)

G = [M-1 L3 T-2 ] …(iii)

Solving (ii) and (iii)

h/G = [(ML2 T-1)/(M-1 L3 T-2 )]

=[M2 L-1 T1 ]

Substituting (i) in above

h/G = M2/c

⇒ [M] = [h1/2 G-1/2 c1/2 ]