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Statement I: Intensity of sound wave cha...

Statement I: Intensity of sound wave changes when the listener moves towards or away from the stationary source.
Statement II: The motion of listener causes the apparent change in wavelength.

A

Statement I is true, Statement II is true: Statement II is a correct explanation for statement I.

B

Statement I is true, Statement II is true, Statement II is NOT a correct explanation for Statement I.

C

Statement I is true, Statement II is false

D

Statement I is falce: Statement II is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements provided in the question. ### Step 1: Analyze Statement I **Statement I:** Intensity of sound wave changes when the listener moves towards or away from the stationary source. - **Explanation:** The intensity (I) of a sound wave is defined as the power (P) per unit area (A). For a stationary point source emitting sound isotropically, the intensity can be expressed as: \[ I = \frac{P}{A} \] As the listener moves closer to the source, the area over which the sound is spread decreases, leading to an increase in intensity. Conversely, as the listener moves away, the area increases, causing the intensity to decrease. Therefore, this statement is **correct**. ### Step 2: Analyze Statement II **Statement II:** The motion of the listener causes the apparent change in wavelength. - **Explanation:** The wavelength of a sound wave is determined by the source of the sound and the medium through which it travels. The motion of the listener does not change the wavelength of the sound wave itself; instead, it causes a change in the frequency perceived by the listener due to the Doppler effect. The wavelength will only change if the source of the sound is moving or if there are changes in the medium. Therefore, this statement is **incorrect**. ### Conclusion - **Statement I is true.** - **Statement II is false.** ### Final Answer - Statement I is correct, and Statement II is incorrect. ---

To solve the problem, we need to analyze both statements provided in the question. ### Step 1: Analyze Statement I **Statement I:** Intensity of sound wave changes when the listener moves towards or away from the stationary source. - **Explanation:** The intensity (I) of a sound wave is defined as the power (P) per unit area (A). For a stationary point source emitting sound isotropically, the intensity can be expressed as: \[ ...
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CENGAGE PHYSICS ENGLISH-SOUND WAVES AND DOPPLER EFFECT-Assertion-Reasoning
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