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Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by T1 , T2 the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension,
  • a)
    T2 was decreased
  • b)
    T2 was increased
  • c)
    T1 was decreased
  • d)
    T1 was increased
Correct answer is option 'B,C'. Can you explain this answer?
Verified Answer
Two identical straight wires are stretched so as to produce 6 beats pe...

Initially beat frequency (f1 - f2) = 6.
The beat frequency remains unchanged which is possible when f2 increases and f1 decreases. Thus T2 increases and T1  decreases.
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Most Upvoted Answer
Two identical straight wires are stretched so as to produce 6 beats pe...

Explanation:

Given information:
- Two identical straight wires produce 6 beats per second initially.
- Beat frequency remains unchanged when tension in one wire is changed.
- Denote higher initial tension as T1 and lower initial tension as T2.

Analysis:
- Initially, the beat frequency is 6 beats per second, this means there is a difference of 6 Hz between the frequencies of the two wires.
- When tension in one wire is changed slightly, the beat frequency remains unchanged. This implies that the difference in frequencies is still 6 Hz after the tension change.

Impact of tension changes:
- If T2 was decreased: The frequency of the wire with decreased tension would increase, leading to a change in beat frequency. Therefore, T2 was not decreased.

- If T2 was increased: The frequency of the wire with increased tension would decrease, compensating for the tension change in the other wire, keeping the beat frequency constant. Hence, T2 was increased.

- If T1 was decreased: This would lead to a decrease in frequency for the wire with higher tension, causing a change in beat frequency. Therefore, T1 was not decreased.

- If T1 was increased: This would cause a decrease in the frequency of the wire with higher tension, compensating for the tension change in the other wire, maintaining the beat frequency. Hence, T1 was increased.

Conclusion:
Therefore, the correct statements are:
- T2 was increased (Option B)
- T1 was increased (Option C)
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Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by T1 , T2 the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension,a)T2 was decreasedb)T2 was increasedc)T1 was decreasedd)T1 was increasedCorrect answer is option 'B,C'. Can you explain this answer?
Question Description
Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by T1 , T2 the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension,a)T2 was decreasedb)T2 was increasedc)T1 was decreasedd)T1 was increasedCorrect answer is option 'B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by T1 , T2 the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension,a)T2 was decreasedb)T2 was increasedc)T1 was decreasedd)T1 was increasedCorrect answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by T1 , T2 the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension,a)T2 was decreasedb)T2 was increasedc)T1 was decreasedd)T1 was increasedCorrect answer is option 'B,C'. Can you explain this answer?.
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