PhysicsA material has poissons ratio 0.5. If a uniform rod of it suffers a longitudinal strain of 2 × 10–3, then the percentage increase in its volume is 

A material has poissons ratio 0.5. If a uniform rod of it suffers a longitudinal strain of 2 × 10–3, then the percentage increase in its volume is 

  1. A

    0%

  2. B

    10%

  3. C

    20% 

  4. D

    5%

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Given,

    dLL=2×10-3

    The relation between a material's volume change caused by strain and the poison's ratio is as follows:

    σ=drσrdLL

    0.5=-drr2×10-3

    drr=-10-3

    We know that volume of the rod is,

    V=πr2L

    Differentiating,

    dV=π(r2dL+2Lrdr)

    dVV×100=π(r2dL+2rLdr)πr2L×100=dLL+2drr×100

    dVV×100=2×10-3+2(-10-3)×100=0

    Hence the correct answer is 0%.

    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.