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JIPMER2015PhysicsMechanical Properties of Solids

What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 10^5 Nm ⁻² from the following data? Density of kerosene =800 ~kg m ⁻³ and speed of sound in kerosene =1330 ~ms ⁻¹ .

Options

  1. A0.97 ~cm ⁻³
  2. B0.66 ~cm ⁻³
  3. C0.15 ~cm ⁻³
  4. D0.59 ~cm ⁻³

Correct answer

C. 0.15 ~cm ⁻³

Step-by-step solution

As, we know that v= R where, k= bulk modulus of elasticity aligned & k & =v^2 =(1330)^2 800 ~N / m ^2 Also, & k & = F / A V / V & V & = pressure k = 2 10^5 1330 1330 800 & & =0.15 ~cm ^3 aligned

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