AP EAMCET202315 May 2023Evening ShiftPhysicsMechanical Properties of SolidsActual
A spherical ball of volume 2000 ~cm ^3 is subjected to a hydraulic pressure of 15 ~atm . If the change in volume is 5 10⁻² ~cm ^3 , the bulk modules of the material of the spherical ball is (1 ~atm =10^5 Nm ⁻² )
Options
- A6 10¹⁰ Nm ⁻²
- B2 10¹⁰ Nm ⁻²
- C5 10¹⁰ Nm ⁻²
- D15 10¹⁰ Nm ⁻²
Correct answer
A. 6 10¹⁰ Nm ⁻²
Step-by-step solution
Volume of spherical ball, V=2000 10⁻⁶ ~m ^3 Hydraulic pressure, P =15 ~atm =15 10^5 Nm ⁻² Change in volume, V =5 10⁻² 10⁻⁶ ~m ^3 Bulk modulus, B = P V V aligned & = 15 10^5 2000 10⁻⁶ 5 10⁻⁸ & =6 10¹⁰ Nm ⁻² aligned