JEE Mains · Physics · STD 11- 8. mechanical properties of solids
The bulk moduli of ethanol, mercury and water are given as \(0.9, 25\) and \(2 .2\) respectively in units of \(10^9\, Nm^{-2}\) . For a given value of pressure, the fractional compression in volume is \(\frac{{\Delta V}}{V}\). Which of the following statements about \(\frac{{\Delta V}}{V}\) for these three liquids is correct ?
- A Ethanol \(>\) Water \(>\) Mercury
- B Water \(>\) Ethanol \(>\) Mercury
- C Mercury \(>\) Ethanol \(>\) Water
- D Ethanol \(>\) Mercury \(>\) Water
Answer & Solution
Correct Answer
(A) Ethanol \(>\) Water \(>\) Mercury
Step-by-step Solution
Detailed explanation
\(Compressibility = \frac{1}{{Bulk\,modulus}}\) As bulk modulus is least for ethanol \((0.9)\) and maximum for mercury \((25)\) among ehtanol, mercury and water. Hence compression in volume \(\frac{{\Delta V}}{V}\) \(Ethanol>Water>Mercury\)
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