MCQ
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
- A
- B
- ✓
- D
✓
Answer
Correct option: C.
c
(c)Energy density $(E)$ $ = \frac{I}{v} = 2{\pi ^2}\rho {n^2}{A^2}$
${v_{\max }} = \omega A = 2\pi nA$==> $E \propto {({v_{\max }})^2}$
i.e., graph between $E$ and ${v_{\max }}$ will be a parabola symmetrical about $E$ axis.
(c)Energy density $(E)$ $ = \frac{I}{v} = 2{\pi ^2}\rho {n^2}{A^2}$
${v_{\max }} = \omega A = 2\pi nA$==> $E \propto {({v_{\max }})^2}$
i.e., graph between $E$ and ${v_{\max }}$ will be a parabola symmetrical about $E$ axis.
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