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P represents radiation pressure, c represents speed of light and S represents radiation energy striking unit area per sec. The non-zero integers x, y and z such that P^xS^yc^zis dimensionless are :

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x = 1,y= 1,z = 1

x = -1,y = 1,z =1

x = 1, y = -1, z = 1

x = 1 , y = 1, z = -1

answer is C.

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Detailed Solution

$[P] = [M] {[L]}^{- 1} {[T]}^{- 2} [c] = [L] {[T]}^{- 1} [S] = [M] {[T]}^{- 3} P^{x} S^{y} c^{z} = {[M]}^{x + y} {[L]}^{- x + z} {[T]}^{- 2 x - 3 y - z} x = - y y + z = 0$

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