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

B

Explanation

Since `p^(x)Q^(y)c^(z)` is dimensionless. Therfore,
`["ML"^(-1)"T"^(-2)]^(x) ["MT"^(-3)]^(y)["LT"^(-1)]^(z)=["M"^(0)"L"^(0)"T"^(0)]`
Only option (b) satisfies this expression.
So, `" " x=1, y=-1, z=1`