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JIPMER2015PhysicsWaves and Sound

A 4 kg block is suspended from the ceiling of an elevator through a spring having a linear mass density of 19.2 10⁻³ ~kg ~m ⁻³ . Find the speed with respect to spring with which a wave pulse can proceed on the spring if the elevator accelerates up at the rate of 2.0 ~ms ⁻² . Take g=10 ~ms ⁻²

Options

  1. A30 m/s
  2. B42 m/s
  3. C46 m/s
  4. D50 m/s

Correct answer

D. 50 m/s

Step-by-step solution

Given, m=19.2 10⁻³ ~kg / m Now see the free body diagram. The equation for the motion aligned T-4 g-4 a & =0 T & =4(a+g)=4(2+10) & =48 ~N aligned Now wave speed, aligned v & = ( T m ) & = 2.5 10⁻³ =50 ~m / s aligned

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