Question

9. The energy (E), angular momerntum (L) and uni
versal graviational constant (G) are choosen as
fundamental quantities. The dimensions of univer-
sal gravitational constant in the dimensional for-
mula of planks constant(h) is
(150 (2)-1
(4) 1
3)​

Answer 1

solution : -

The Planck’s constant (h) can be defined as a proportionality constant that relates the energy (E) of a photon to the frequency (ν) of its associated electromagnetic wave.

Mathematically,

Planck’s Constant (h) = Energy(E) / frequency (ν).

Dimensional Formula of energy = M1L2T-2.

Dimensional Formula of frequency = M0L0T-1.

Putting these values in above equation we get,

Dimensional Formula of Planck’s constant = M1L2T-1.

SI unit of Planck’s constant is joule-seconds (j-s).