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Physical Quantities

Question

The dimensions of intensity of wave are
$[M L^{0} T^{- 3}]$
$[M L^{2} T^{- 3}]$
$[M^{1} L^{2} T^{3}]$
$[M L^{- 2} T^{- 3}]$

A

[M L^{2} T^{- 3}]

B

[M^{1} L^{2} T^{3}]

C

[M L^{- 2} T^{- 3}]

D

[M L^{0} T^{- 3}]

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Solution

Verified by Toppr

Intensity of wave $I = \frac{P o w e r}{a r e a} = \frac{E n e r g y}{a r e a \times T i m e}$
Power $= [{M L}^{2} T^{- 3}]$
area $= [L^{2}]$
$I = \frac{[{M L}^{2} T^{- 3}]}{[L^{2}]}$
$I = [{M L}^{0} T^{- 3}]$

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