Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 201411 AprilOnline

Exam: JEE Main
Year: 2014
Date: 11 April
Mode: Online
Subject: Physics
Chapter: Mechanical Properties of Solids

JEE Main 2014 · 11 April · Online · Physics · Mechanical Properties of Solids

The bulk moduli of ethanol, mercury and water are given as 0.9,25...

The bulk moduli of ethanol, mercury and water are given as

0.9,25

and

2.2

respectively in units of

10^9 \mathrm{Nm}^{-2}

. For a given value of pressure, the fractional compression in volume is

\frac{\Delta \mathrm{V}}{\mathrm{V}}

. Which of the following statements about

\frac{\Delta V}{V}

for these three liquids is correct ?

Options

AEthanol $>$ Water $>$ Mercury
BWater $>$ Ethanol $>$ Mercury
CMercury $>$ Ethanol $>$ Water
DEthanol $>$ Mercury $>$ Water

Correct answer

A. Ethanol $>$ Water $>$ Mercury

Step-by-step solution

Compressibility

=\frac{1}{\text{ 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 \mathrm{V}}{\mathrm{V}}

Ethanol

>

Water

>

Mercury

Practice Mechanical Properties of Solids on Quantrex Academy →

More from Mechanical Properties of Solids

Figure represents the extension ( Δ l ) of a wire of length 1 meter, suspended from the… JEE Main 2026 A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the… JEE Main 2026 The two wires A and B of equal cross-section but of different materials are joined… JEE Main 2026 A copper wire of length 3 m is stretched by 3 mm by applying an external force. The… JEE Main 2026 The Young's modulus of steel wire of radius r and length L is Y . If the radius r and… JEE Main 2026 Two wires as shown in the figure below, made of steel and have breaking stress of 12 ×… JEE Main 2026 A cube has side length 5 cm and modulus of rigidity 10^5 N/m ^2 . The displacement… JEE Main 2026 A metal string A is suspended from a rigid support and its free end is attached to a… JEE Main 2026 Full Mechanical Properties of Solids list All JEE Main PYQs