If `P` represents radiation pressure , `C` represents the speed of light , and `Q` represents radiation energy striking a unit area per second , then non - zero integers `x, y, z` such that `P^(x) Q^(y) C^(z)` is dimensionless , find the values of `x, y , and z`.

Options

A. x = 1, y = 1, z = 1
B. x = -1, y = 1, z = 1
C. x = 1, y = -1, z = 1
D. x = 1, y = 1, z = -1

Answer

c

Explanation

`M^(0)L^(0)T^(0)=[P^(x)S^(y)C^(2)]`
`[M^(x+y)L^(-x+2)T^(-2x-3 y-z)]=M^(0)L^(0)T^(0)`
`x+y=0" "-x+2=0`
`-2x-3y-2=0`
`x=1" "," "y=-1` and `2 = 1`