Question:
A tuning fork of known frequency $256\, Hz$ makes $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
A tuning fork of known frequency $256\, Hz$ makes $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
Updated On: Jul 2, 2022
- $(256 + 2)\, Hz$
- $(256 - 2)\, Hz$
- $(256 - 5)\, Hz$
- $(256 + 5)\, Hz$
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The Correct Option is C
Solution and Explanation
$t _{1}=256\, Hz$
For turning fork,
where $f _{2}- f _{1}=\pm 5$
$f _{2}=$ frequency of piano
$f _{2}=(256+5) \,Hz$
or $(256-5) \,Hz$
When tension is increased the beat frequency decreases to $2$ beats per second.
If we assume that frequency of piano string is $261\, Hz$.
Then on increasing tension frequency, more than $261 \,Hz$.
But it is given that beat frequency decreases, therefore $261 \,Hz$ is not post.
$\therefore(256-5) \,Hz$
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