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Q8.14: NCERT Physics - Part 2 MECHANICAL PROPERTIES OF SOLIDS 8.14 Solution: Compute the fractional change in volume of a glass slab, when…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often plug the pressure in atm directly into ΔV/V = P/B or forget to convert the bulk modulus from GPa to Pa, producing a result off by orders of magnitude. Always express both P and B in the same SI unit (Pa) before taking the ratio.

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Step-by-Step Verified Solution

**Answer:** ΔV/V=2.73×10−5\Delta V/V = 2.73 \times 10^{-5} **Step-by-Step Explanation:** P=10P = 10 atm =10×1.013×105=1.013×106= 10 \times 1.013 \times 10^5 = 1.013 \times 10^6 Pa. For glass, B=37×109B = 37 \times 10^9 Pa.
ΔVV=PB=1.013×10637×109=2.73×10−5\frac{\Delta V}{V} = \frac{P}{B} = \frac{1.013 \times 10^6}{37 \times 10^9} = 2.73 \times 10^{-5}
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