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 $T_{1}, T_{2}$ the higher and the lower initial tension in the strings respectively, then it could be said that while making the above changes in tension

T_{2}

was decreased

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T_{2}

was increased

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T_{1}

remains same

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T_{1}

was increased

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Solution

The correct option is B $T_{2}$ was increased
$T_{1} > T_{2}$
$∴ v_{1} > v_{2}$
or $f_{1} > f_{2}$
and $f_{1} - f_{2} = 6 Hz$
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 $f_{2} - f_{1}$ becomes $6 Hz$ .
Similarly, when $T_{2}$ is increased, $f_{2}$ will increase and again $f_{2} - f_{1}$ may become equal to $6 Hz$ . So, (B) is correct. But (A) is wrong.

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Similar questions

Q. 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 beats frequency remains unchanged. Denoting by

T_{1}, T_{2}

the higher and the lower initial tensions in the strings

(T_{1} > T_{2})

, then it could be said that while making the above changes in tension

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 $T_{1}, T_{2}$ the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension :