Question

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.

Options

• 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.

Answer 1

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.