AIIMS2018Physics-Properties of Solids and Liquids

AIIMS 2018 Physics Bulk Modulus MCQ Question

Type: MCQ-numerical-Medium-Class 11

The fractional change in volume of a glass slab when subjected to a hydraulic pressure of 10 atm is:

[Bulk modulus of glass = 37×109 N/m237 \times 10^9 \text{ N/m}^2]

A

2.74×1052.74 \times 10^{-5}

B

5.12×1035.12 \times 10^{-3}

C

8.31×1048.31 \times 10^{-4}

D

6.11×1046.11 \times 10^{-4}

Correct Answer

Option A

Detailed Explanation

Option A is correct because it accurately represents the relationship defined by the Bulk modulus BB, which is given by the formula B=pΔVVB = \frac{p}{\frac{\Delta V}{V}}. Here, substituting the value of hydraulic pressure p=10×1.013×105Pap = 10 \times 1.013 \times 10^5 \, \text{Pa} confirms that BB equals 37×109Pa37 \times 10^9 \, \text{Pa} when ΔVV\frac{\Delta V}{V} is appropriately calculated.

Options B and C are not relevant in this context; while B attempts to provide a value for ΔVV\frac{\Delta V}{V}, it lacks the necessary context to validate its correctness without further calculations or information. Option C is simply not applicable. Understanding the Bulk modulus is crucial as it quantifies a material's resistance to uniform compression, which is essential in fields such as fluid mechanics and material science.

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