5 , beats/ second are heard when a turning fork is sounded with a… - Vidyadip

MCQ

$5\, beats/ second$ are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either $0.95\,m$ or $1\,m$ . The frequency of the fork will be ... $Hz$

✓
$195$
B
$251$
C
$150$
D
$300$

✓

Answer

Correct option: A.

$195$

a
Probable frequencies of tuning fork be $n \pm5$

Frequency of sonometer wire, $n \propto \frac{1}{l}$

$\therefore \frac{n+5}{n-5}=\frac{100}{95} \Rightarrow 95(n+5)=100(n-5)$

or, $95 n+475=100 n-500$

or, $5 n=975$

or, $n=\frac{975}{5}=195 \mathrm{Hz}$

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