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Two idential straight wires are stretche...

Two idential 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 `T_(1)`, `T_(2)` the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension,

A

`T_2` was decreased

B

`T_2` was increased

C

`T_1` was increased

D

`T_1` was kept constant

Text Solution

Verified by Experts

The correct Answer is:
B, C
Since `f prop sqrtT" "` [as `f=1/(2l) sqrt(T/(mu))]`
given `T_1 gtT_2 implies f_1 gtf_2`
`(f_("beat"))_("initial") = 6 = f_1-f_2`
`:. f_("beat")` = remain unchanged
`f_2 =12 +f_2` by increasing tension `T_2`
`f_1 = f_1 =-12` by decreasing tension `T_1`
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