Wave Motion 4 Question 18

17. Two identical straight wires are stretched so as to produce 6 beats/s 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

(1991, 2M)

(a) T2 was decreased

(b) T2 was increased

(c) T1 was decreased

(d) T1 was increased

Numerical Value

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Answer:

Correct Answer: 17. (b)

Solution:

T1>T2

v1>v2

or f1>f2

and f1f2=6Hz

Now, if T1 is increased, f1 will increase or f1f2 will increase. Therefore, (d) option is wrong.

If T1 is decreased, f1 will decrease and it may be possible that now f2f1 become 6Hz.Therefore, (c) option is correct.

Similarly, when T2 is increased, f2 will increase and again f2f1 may become equal to 6Hz. So, (b) is also correct. But (a) is wrong.



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