It is given that  P, C and Q represent radiation pressure, speed of light and radiation energy striking a unit area per second respectively. Determine the values of non-zero integers x, y and z such that the quantity PxQyCz is dimensionless.

Substituting the dimension of given quantities in the relation provided by the problemML−1T−2xMT−2yLT−1z=[MLT]0Comparing the power of M, L, T in both L.H.S and R.H.S,we getx+y=0…...(i) −x+z=0…(ii)−2x−2y−z=0…(iii)After solving the above equationswe getx=1;y=−1;z=1