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Physics · Sound Waves

JEE Advanced 2018 — Paper 2 — Question 5

In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50.7 cm and 83.9 cm . Which of the following statements is (are) true?

  1. Option A:

    The speed of sound determined from this experiment is 332 ms−1332 \mathrm{~ms}^{-1}

    Correct
  2. Option B:

    The end correction in this experiment is 0.9 cm

  3. Option C:

    The wavelength of the sound wave is 66.4 cm

    Correct
  4. Option D:

    The resonance at 50.7 cm corresponds to the fundamental harmonic

Answer: A, C

Step-by-step solution

λ2=83.9−50.7=33.2\frac{\lambda}{2}=83.9-50.7=33.2

So, λ=66.4 cm\lambda=66.4 \mathrm{~cm}

v=nλ=500×66.4100=332 m/s\mathrm{v}=\mathrm{n} \lambda=\frac{500 \times 66.4}{100}=332 \mathrm{~m} / \mathrm{s}

and e=−0.9 cm\mathrm{e}=-0.9 \mathrm{~cm}

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Advanced 2018
Paper
Paper 2
Subject
Physics
Chapter
Sound Waves
Topic
Vibrations in rod and Air Columns - Organ pipes
In an experiment to measure the speed of sound by a resonating air… | JEE Advanced 2018 PYQ with Solution · DhiX AI