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Question

Physics Question on Units and measurement

Write dimensional formula for the intensity of radiation

A

[ML0T3][ ML^0 T^3 ]

B

[ML0T−3][ ML^0 T^{ - 3} ]

C

[ML2T−2][ ML^2 T^{ - 2} ]

D

[ML2T−3][ ML^2 T^{ - 3} ]

Answer

[ML0T−3][ ML^0 T^{ - 3} ]

Explanation

Solution

Intensity of radiation is energy flowing per second per unit area, ie
[ Intensity ] = [energy][time] [area]\frac{ [ energy ] }{ [ time ] \, [ area ] }
= [ML2T−2][T][L2]\frac{ [ ML^2 T^{ - 2} ] } { [ T ] [ L^2 ] }
= [ML0T−3][ ML^0 T^{ - 3} ]