If P represents radiation pressure, c represents the speed of light and q represents the radiation energy per unit area per second, then calculate non - zero integres such that `p^x q^y c^z` is dimensionless.

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. Therefore,
`[ML^(-1)T^(-2)]^(x)[MT^(-3)]^(y)[LT^(-1)]=[M^(0)L^(0)T^(0)]`
only option (b) satisfies this expression.
, `x=1,y=-1,z=1`