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Physics-Stress & Strain

NEET Physics Stress & Strain MCQ Question

Type: MCQ-numerical-Hard-Class 11

A solid cube with an initial volume of 0.01 m³ is subjected to a uniform hydraulic pressure of 5 x 10⁶ N/m². If the bulk modulus of the material is 2 x 10⁹ N/m², what is the change in volume of the cube?

A

-2.5 x 10⁻⁵ m³

B

-2.5 x 10⁻⁷ m³

C

-5.0 x 10⁻⁶ m³

D

-1.0 x 10⁻⁶ m³

Correct Answer

Option A

Detailed Explanation

Using B = -p/(∆V/V), we find ∆V = -pV/B = -(5 x 10⁶ N/m²)(0.01 m³)/(2 x 10⁹ N/m²) = -2.5 x 10⁻⁵ m³.

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