Question

if the energy, E =G^p h7^q c^r the values of p, q and r is​

Answer 1

Answer:

Explanation:

Given If the energy, E =G^p h^q c^r the values of p, q and r is

E = G^p h^q c^r ---------------(1)

[M^1 L^2T^-2 ] = [M^-1L^3T^-2]^p [ML^2T^-1]^q [LT^-1]^r

                          = [M^-p + q L^3p + 2q + r T^-2p-q-r]

Applying principle of dimensions, we get

-p + q = 1---------2

3p + 2q + r = 2-------3

-2p – q – r = -2---------4

Adding 3 and 4 we get

       p + q = 0--------------5

Adding 2 and 5 we get

        q = 1/2

From equation 2 we get

     -p + 1/2 = 1

    -p = 1 – 1/2

    p = - 1/2

Substituting in 3 we get

              -3/2 + 1 + r = 2

                     r = 5/2