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Assertion (A): The product of time period and frequency of a wave is unity. Reason (R): Time period = 1/Frequency

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Question

Assertion (A): The product of time period and frequency of a wave is unity.

Reason (R): Time period = $$\frac{1}{\text{Frequency}}$$

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.

MCQ
Assertion and Reasoning
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Solution

If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

Explanation:

Assertion (A) is true. Time period \(T\) and frequency \(f\) are reciprocals of each other.

\[ T=\frac{1}{f} \]

Therefore,

\[ Tf = 1 \]

Reason (R) is true. The relation \(T=\frac{1}{f}\) directly shows that the product of time period and frequency is unity.

Therefore, both A and R are true, and R correctly explains A.

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Chapter 3: Sound - Multiple Choice Questions and Assertion-Reason Type Questions [Page 215]

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Frank Physics Part 2 [English] Class 10 ICSE
Chapter 3 Sound
Multiple Choice Questions and Assertion-Reason Type Questions | Q 41. | Page 215
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