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AP EAMCET201920 Apr 2019Morning ShiftPhysicsMechanical Properties of SolidsActual

A solid copper cube of (7 ~cm ) edge is subjected to a hydraulic pressure of (8000 kPa ). The volume contraction of the copper cube is (Bulk modulus of copper (=140 GPa ) )

Options

  1. A(196 10⁻³ ~cm ^3 )
  2. B(19.6 10^6 ~cm ^3 )
  3. C(19.6 10⁻³ ~cm ^3 )
  4. D(196 10^3 ~cm ^3 )

Correct answer

C. (19.6 10⁻³ ~cm ^3 )

Step-by-step solution

Given, edge of solid copper cube, (l=7 ~cm ) hydraulic pressure, (p=8000 kPa =8000 10^3 ~Pa ) and Bulk modulus of copper, ( =140 GPa ) (=140 10^9 ~Pa ) As we know that, ( aligned & Bulk modulus, = p ( V V ) or = p V V & aligned V= p V & = 8000 10^3 (l)^3 140 10^9 & = 8000 10^3 (7)^3 140 10^9 =19.6 10⁻³ ~cm ^3 aligned aligned )

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