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Updated on : 2022-09-05

Solution

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Radiation pressure $P=ML_{−1}T_{−2}$

$Q=timeEnergy/Area =(m_{2}w )=MT_{−3}$

$C=$ Speed of Light $=(LT−1)$

$M_{0}L_{0}T_{0}=(ML_{−1}T_{−2})_{x}(MT_{−3})_{y}(LT_{−1})_{z}$

Comparing powers

$M→0=x+y⇒x=−y...(1)$

$L→0=−x+z⇒x=z...(2)$

$T→0=−2x−3y−z...(3)$

Solving (1)(2) and (3)

$x=1$

$y=−1$

$z=1$

$∴QP_{1}c_{1} $

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