If \(\mathcal{P}\) represents radiation pressure, c represents speed of light and 
represents radiation energy striking a unit area per second , then non-zero integers x,y and \ell such that p^y Q^r c^2 is dimensionless, are
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By substituting the dimension of given quantities \(\left[ML^{-1}T^{-2}\right]^{r}\left[MT^{-2}\right]^{y}\left[LT^{-1}\right]^{z}=\left[ML^{b}\right]^{d}\)
By comparing the power of M, L, T in both sides x + y = 0 .....(i)
-x + z = 0 .....(ii)
-2x - 3y - z = 0 … (iii)
The only values of x,y,z satisfying (i), (ii) and (iii) corresponds to .
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