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Waves question

2002 · Shift 0 · Q160
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Waves question

2002 · Shift 0 · Q160

JEE MainPhysicsWavesMCQ+4 / −1
When temperature increases, the frequency of a tuning fork
  1. A
    increases
  2. B
    decreases
  3. C
    remains same
  4. D
    increases or decreases depending on the material
View written solutionFree

Correct answer: B

  1. Use the relation for frequency of a tuning fork

For a tuning fork, the frequency depends on the elastic property and density of the material. Roughly,

f∝Eρf \propto \sqrt{\frac{E}{\rho}}f∝ρE​​

where:

  • EEE = Young’s modulus of the material
  • ρ\rhoρ = density of the material
  1. Effect of increase in temperature

When temperature increases:

  • Young’s modulus EEE generally decreases for metals.
  • Density ρ\rhoρ may also change slightly due to expansion, but the dominant effect is the decrease in EEE.

Since frequency is proportional to E/ρ\sqrt{E/\rho}E/ρ​, a decrease in EEE causes the frequency to decrease.

  1. Conclusion

Therefore, when temperature increases, the frequency of a tuning fork decreases.

  1. Check the options
  • A: increases →\to→ Incorrect
  • B: decreases →\to→ Correct
  • C: remains same →\to→ Incorrect
  • D: increases or decreases depending on the material →\to→ Incorrect for the standard JEE result

Hence, the correct answer is:

B: decreases\boxed{\text{B: decreases}}B: decreases​

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