If p represents radiation pressure, c represents the speed of light and q represents radiation energy incident per unit area per second, then for what values of x, y and z, the quantity pxqycz will be dimensionless?
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Question

If p represents radiation pressure, c represents the speed of light and q represents radiation energy incident per unit area per second, then for what values of x, y and z, the quantity pxqycz will be dimensionless?

Options

G1 Physics · Accepted Answer

Dimensions: pressure p has ML⁻¹T⁻², energy flux q has MT⁻³ and c has LT⁻¹. Requiring pˣqʸcᶻ dimensionless gives x+y=0, −x+z=0 and −2x−3y−z=0, so x=1, y=−1, z=1. Correct answer: B.