If P represents radiation pressure, C represents speed of l…

Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ

Published on: September 12, 2026

If P represents radiation pressure, C represents speed of light and Q represents radiation energy striking a unit area per second , then non-zero integers X, y and 7z such that P^{x} Q^{y} c^{z} is dimensionless, are

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

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

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

x = 1, y = 1, z = 1

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The correct answer is:

By substituting the dimension of given quantities \(\left[ML^{-1}T^{-2}\right]^x \left[MT^{-3}\right]^y \left[LT^{-1}\right]^z = \left[MLT^0\right]\)

By comparing the power of M, L, T in both sides x + y = 0 .....(i)

\(-x + z \equiv 0\) .....(ii)

-2x - 3y - z = 0 …(iii)

The only values of X, y, Z satisfying (i), (ii) and (iii) corresponds to .

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