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

Q: 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 $z$ such that ${P^x}{Q^y}{c^z}$ is dimensionless, are

b (b) By substituting the dimension of given quantities ${[M{L^{ - 1}}{T^{ - 2}}]^x}{[M{T^{ - 3}}]^y}{[L{T^{ - 1}}]^z} = {[MLT]^0}$ By comparing the power of $M, L, T$ in both sides $x + y = 0$ .....$(i)$ $ - x + z = 0$ .....$(ii)$ $ - 2x - 3y - z = 0$ …$(iii)$ The only values of $x,\,y,\,z$ satisfying $(i),$ $(ii)$ and $(iii)$ corresponds to $(b).$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

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 $z$ such that ${P^x}{Q^y}{c^z}$ is dimensionless, are

A$x = 1,\,\,y = 1,\,\,z = - 1$
B$x = 1,\,y = - 1,\,z = 1$
C$x = - 1,\,y = 1,\,z = 1$
D$x = 1,\,y = 1,\,z = 1$

AIPMT 1992, Diffcult

STD 11 Science
JEE
STD 11 - 1. units,dimensions and measurement
Physics

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