In an experiment, it was found that string vibrates in $n$ loops when a mass $M$ is placed o the pan. What mass should be placed on the pa to make it vibrate in $2n\ $loops, with same frequency. Neglect the mass of the pan.

Question

Dr. Abubacker · Accepted Answer

(a) As the string vibrates in n loops, therefore,
$l = \frac{n\lambda}{2}$
Therefore, $v\ $ would become $\frac{1}{2}$ times.
As $v \propto \sqrt{T}$
Therefore, to make $v$ half time, $T$ must be made $\frac{1}{4}$time $ie\ M/4$.

Q. In an experiment, it was found that string vibrates in $n$ loops when a mass $M$ is placed o the pan. What mass should be placed on the pa to make it vibrate in $2n\ $loops, with same frequency. Neglect the mass of the pan.

Explanation

Reviewed by Dr. Abubacker

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