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Question: Answered & Verified by Expert
A metallic rod of length 1 m, Young's modulus 3×1011 N m-2 and density 7.5×102 kg m-3 is clamped at its middle. Longitudinal stationary vibrations are produced in the rod with total number of displacement nodes equal to 3. The frequency of vibrations is
PhysicsWaves and SoundJEE Main
Options:
  • A 30,000 Hz
  • B 10,000 Hz
  • C 3000 Hz
  • D 1500 Hz
Solution:
2145 Upvotes Verified Answer
The correct answer is: 30,000 Hz
l=3λ2  λ=2l3  

f=νλ=3ν2l=32lYρ
=  32×13×101134×103  =324×108
=  32×2×104  Hz
= 30,000 Hz

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