The dimension of intensity of wave is:

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

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

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

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

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Solution

The correct option is B $[{M L}^{0} T^{- 3}]$
Intensity of any wave is the time averaged power $P$ delivered per unit Area $A$
The dimension of Intesity is thus

= $\frac{D i m e n s i o n o f p o w e r}{D i m e n s i o n o f A r e a}$

= $\frac{M L^{2} T^{- 3}}{L^{2}}$

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

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

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The dimensions of $σ b^{4}$ ( σ=Stefan’s constant and b = Wien’s constant) are:

M L^{0} T^{- 2}

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= \sqrt{(\frac{X}{density})}

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