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Waves and Sound — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsWaves and Sound1 Mark
MCQ
A tuning fork whose frequency as given by manufacturer is $512 \mathrm{~Hz}$ is being tested with an accurate oscillator. lt is found that the fork produces a beat of $2 \mathrm{~Hz}$ when oscillator reads $514 \mathrm{~Hz}$ but produces a beat of $6 \mathrm{~Hz}$ when oscillator reads $510 \mathrm{~Hz}$. The actual frequency of fork is
  • A
    $508 \mathrm{~Hz}$
  • B
    $512 \mathrm{~Hz}$
  • ✓
    $516 \mathrm{~Hz}$
  • D
    $518 \mathrm{~Hz}$
✓

Answer

Correct option: C.
$516 \mathrm{~Hz}$
(c) The tuning fork whose frequency is being tested produces $2$ beats with oscillator at $514 \mathrm{~Hz}$, therefore, frequency of tuning fork may either be $512$ or $516.$ Withoscillator frequency $510$ it gives $6$ beats $/ \mathrm{sec}$, therefore frequency of tuning fork may be either $516$ or $504.$ Therefore, the actual frequency is $516 \mathrm{~Hz}$ which gives $2$ beats/sec with $514 \mathrm{~Hz}$ and 6 beats/sec with $510 \mathrm{~Hz}$.

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