MCQ
A tunning fork produces $5\, beats/sec$ when the length of a sonometer wire is either $1\, m$ or $1.05\, m$. Calculate the frequency of tunning fork  .... $Hz$
  • A
    $102.5$
  • B
    $125$
  • C
    $100$
  • $205$

Answer

Correct option: D.
$205$
d
Frequency of tunning fork $=\mathrm{N}$

Sonometer wire is either $\mathrm{N}+\mathrm{S}$ or $\mathrm{N}-\mathrm{S}$

$\mathrm{n} \propto \frac{1}{\ell} \quad \frac{\mathrm{n}_{1}}{\mathrm{n}_{2}}=\frac{\ell_{2}}{\ell_{1}}$

$\frac{N+5}{N-5}=\frac{1.05}{1}$

$\mathrm{N}=205 \mathrm{\,Hz}$

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