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प्रश्न
Assertion (A): Eleven consecutive rarefactions of a wave pass a given point in 10 seconds. The time period of the wave is 1 second.
Reason (R): There will be 10 wavelengths between 11 rarefactions. So, time for 1 wavelength (which equals time period of the wave) equals 1 second.
विकल्प
If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
If both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.
If Assertion is true, but the Reason is false.
If Assertion is false, but the Reason is true.
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उत्तर
If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
Explanation:
Assertion (A) is true. Eleven consecutive rarefactions correspond to 10 complete wave intervals. If these pass a point in \(10\) s, then the time for one interval is
\[ T=\frac{10}{10}=1\text{ s} \]
Reason (R) is true. There are 10 wavelengths between 11 consecutive rarefactions, and the time taken for one wavelength to pass a point is one time period.
Therefore, both A and R are true, and R correctly explains A.
