What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 × 10^5 Nm^ -2 from the following data? Density of kerosene =800 ~kg m^ -3 and speed of sound in kerosene =1330 ~ms^ -1

Correct answer: C. 0.15 ~cm^ -3 As, we know that v= (R)/( ) where, k= bulk modulus of elasticity aligned & k & =v^2 =(1330)^2 × 800 N / m^2 Also, & k & =(F / A)/(Δ V / V) & Δ V & = pressure k =(2 × 10^5)/(1330 × 1330 × 800) & & =0.15 cm^3 aligned

JIPMER 2015

Exam: JIPMER
Year: 2015
Subject: Physics
Chapter: Mechanical Properties of Solids

JIPMER 2015 · Physics · Mechanical Properties of Solids

What is the change in the volume of 1.0 L kerosene, when it is...

What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of

2.0 \times 10^5 \mathrm{Nm}^{-2}

from the following data? Density of kerosene

=800 \mathrm{~kg}

\mathrm{m}^{-3}

and speed of sound in kerosene

=1330 \mathrm{~ms}^{-1}

Options

A $0.97 \mathrm{~cm}^{-3}$
B $0.66 \mathrm{~cm}^{-3}$
C $0.15 \mathrm{~cm}^{-3}$
D $0.59 \mathrm{~cm}^{-3}$

Correct answer

C. $0.15 \mathrm{~cm}^{-3}$

Step-by-step solution

As, we know that

v=\sqrt{\frac{R}{\rho}}

where,

k=

bulk modulus of elasticity

\begin{aligned} \Rightarrow & k & =v^2 \rho=(1330)^2 \times 800 \mathrm{ N} / \mathrm{m}^2 \\ \text{ Also, } & k & =\frac{F / A}{\Delta V / V} \\ \Rightarrow & \Delta V & =\frac{\text{ pressure }}{k}=\frac{2 \times 10^5}{1330 \times 1330 \times 800} \\ & & =0.15 \mathrm{ cm}^3\end{aligned}

Practice Mechanical Properties of Solids on Quantrex Academy →

More from Mechanical Properties of Solids

Match List I with List II : List I List II A. Young's Modulus I. (Δ d)/(Δ L)((L)/(d)) B.… NEET 2026 A metallic bar of Young's modulus, 0.5 × 10^ 11 ~N ~m^ -2 and coefficient of linear… NEET 2024 The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and… NEET 2024 Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W… NEET 2023 The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of… NEET 2023 Given below are two statements : One is labelled as Assertion (A) and the other is… NEET 2022 A wire of length L , area of cross section A is hanging from a fixed support. The length… NEET 2020 Identify the incorrect statement. AIIMS 2019 Full Mechanical Properties of Solids list All NEET PYQs