Basic Maths and Units and DimensionsHard
Question
Two identical straight wires are stretched so as to produce 6 beats/sec when vibrating simultaneously. On changing the tension slightly in one of them the beat frequency remains unchanged. Denoting by T1 and T2 the higher and the lower tensions in the strings then it could be said that while making the above changes in the tension:
Options
A.T2 was decreased
B.T2 was increased
C.T1 was decreased
D.T1 was increased
Solution
T1 > T2So v1 > v2
⇒ f1 > f2 ⇒ f1 - f2 = 6
increase of T1, f1 will increase or f1 - f2 will increase.
decrease of T1, f1 will decrease but now f2 - f1 may be equal to 6.
increase of T1, f2 will increase and now again f2 - f1 may be equal to 6.
⇒ f1 > f2 ⇒ f1 - f2 = 6
increase of T1, f1 will increase or f1 - f2 will increase.
decrease of T1, f1 will decrease but now f2 - f1 may be equal to 6.
increase of T1, f2 will increase and now again f2 - f1 may be equal to 6.
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