First slide

Travelling wave

Question

A sound source emits sound waves in a uniform medium. If energy density is E and maximum speed of the particles of the medium is $v_{\max}$ . The plot between E and $v_{\max}$ is best represented by

Moderate

A
B
C
D

Solution

Energy density (E) $= \frac{I}{v} = 2 π^{2} {ρn}^{2} A^{2}$
$v_{\max} = ωA = 2 πnA \Rightarrow E \propto {(v_{\max})}^{2}$
i.e., graph between E and $v_{\max}$ will be a parabola symmetrical about E axis.

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