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A tuning fork of frequency 480 Hz is used in an experiment for measuring the speed of sound (ν) in the air by resonance tube method. Resonance is observed to occur at two successive lengths -

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Question

A tuning fork of frequency 480 Hz is used in an experiment for measuring the speed of sound (ν) in the air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, l1 = 30 cm and l2 = 70 cm. Then, ν is equal to ______.

Options

  • 332 ms-1

  • 384 ms-1

  • 338 ms-1

  • 379 ms-1

MCQ
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Solution

A tuning fork of frequency 480 Hz is used in an experiment for measuring the speed of sound (ν) in the air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, l1 = 30 cm and l2 = 70 cm. Then, ν is equal to 384 ms-1.

Explanation:

V = fλ = f × 2(ℓ2 - ℓ1)

= 480 × 2(0.70 - 0.30)

= 384 m/s

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