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Assertion : Resonance is special case of...

Assertion : Resonance is special case of force vibration in which the nature frequency of vebration of the body is the same as the impressed frequency of external periodic force and the amplitude of force vibration is maximum
Reason: The amplitude of forced vibrations of a bodyincrease with an increase in the frequency of the externally impressed perioic force

A

Assertion is correct, reason is correct, reason is a correct explanation for assertion.

B

Assertion is correct, reason is correct, reason is not a correct explanation for assertion

C

Assertion is correct, reason is incorrect

D

Assertion is incorrect, reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that resonance is a special case of forced vibration where the natural frequency of a vibrating body matches the frequency of an external periodic force. - When this condition is met, the amplitude of the forced vibrations reaches its maximum value. - This is true because resonance occurs when the driving frequency matches the natural frequency, leading to constructive interference and maximum amplitude. 2. **Understanding the Reason**: - The reason claims that the amplitude of forced vibrations increases with an increase in the frequency of the externally impressed periodic force. - This statement is incorrect. The amplitude of forced vibrations does not necessarily increase with an increase in frequency. Instead, maximum amplitude occurs when the frequency of the external force matches the natural frequency of the system. 3. **Conclusion**: - Since the assertion is true and the reason is false, we conclude that the correct answer is that the assertion is correct, but the reason is incorrect. ### Final Answer: - Assertion is true, Reason is false.
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that resonance is a special case of forced vibration where the natural frequency of a vibrating body matches the frequency of an external periodic force. - When this condition is met, the amplitude of the forced vibrations reaches its maximum value. - This is true because resonance occurs when the driving frequency matches the natural frequency, leading to constructive interference and maximum amplitude. ...
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