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Two identical straight wires are stretch...

Two identical straight wires are stretched so as to products `6 beats// s` when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by `T_(2)` , `T_(2)` the higher and the lower initial tension in the strings, then it could be said that that while making the above changes in tension
(a) `T_(2)` was decreased
(b) `T_(2)` was decreased
(c) `T_(1)` was decreased
(d) `T_(1)`was decreased

Text Solution

Verified by Experts

`T_(1)gt T_(2)`
`:. upsilon_(1) gt upsilon_(2)`
or `f_(1) gt f_(2)`
and `f_(1) - f_(2) = 6 H_(z)`
Now, if `T_(1)` is increased, `f_(1)` will increase or `f_(1) - f_(2)` will increase . Therefore, (d) option is wrong.
If `T_(1)` is decreased, `f_(1)` will decrease and it may be possible that now `f_(2) - f_(1)` become `6 H_(Z)` . Therefore, (c ) option is correct.
Similarly , when `T_(2)` will increase and again `f_(2) - f_(1)` may because aqual to `6H_(Z)` . So , (b) is also correct . But (a) is wrong.
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