A tuning fork and a sonometer wire were sounded together and prod… - Vidyadip

MCQ

A tuning fork and a sonometer wire were sounded together and produce $4$ beats per second. When the length of sonometer wire is $95 \mathrm{~cm}$ or $100 \mathrm{~cm}$, the frequency of the tuning fork is

✓
$156 \mathrm{~Hz}$
B
$152 \mathrm{~Hz}$
C
$148 \mathrm{~Hz}$
D
$160 \mathrm{~Hz}$

✓

Answer

Correct option: A.

$156 \mathrm{~Hz}$

(a) Probable frequencies of tuning fork be $n+4$ or $n-4$Frequency of sonometer wire $n \propto \frac{1}{l}$
$\therefore \frac{n+4}{n-4}=\frac{100}{95} \text {or} 95(n+4)=100(n-4)$or $95 n+380=100 (n-400)$ or $5 n=780$ or $n=156$

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