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STANDARDPhysics-Properties of Matter

STANDARD Physics Bulk Modulus and Compressibility MCQ Question

Type: MCQ-numerical-Medium-Class 11

A glass slab is subjected to a pressure of 10 atm. The fractional change in its volume is (Bulk modulus of glass = 37×10937 \times 10^9 N m−2^{-2}, 1 atm = 1×1051 \times 10^5 N m−2^{-2})

A

2.7×10−22.7 \times 10^{-2}

B

2.7×10−32.7 \times 10^{-3}

C

2.7×10−42.7 \times 10^{-4}

D

2.7×10−52.7 \times 10^{-5}

Correct Answer

Option D

Detailed Explanation

The fractional change in volume is given by ΔVV=PB\frac{\Delta V}{V} = \frac{P}{B}. Substituting the given values, P=10×1×105P = 10 \times 1 \times 10^5 N m−2^{-2} and B=37×109B = 37 \times 10^9 N m−2^{-2}, we get ΔVV=1×10637×109=2.7×10−5\frac{\Delta V}{V} = \frac{1 \times 10^6}{37 \times 10^9} = 2.7 \times 10^{-5}.

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