# Question #7de72

##### 1 Answer

Jun 3, 2017

Dimension of the velocity of light, **c**

Dimension of the Gravitational constant, **G**

Dimension of Planck's constant, **h**

Let the dimension of mass in new system be

Hence

so comparing the power of both sides we have

Adding [2] and [3]

Adding [1] and [4]

so

Inserting y and z in [2]

Hence