A uniform cube is subjected to volume compres | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the side of the cube be $L$. The volume of the cube is given by $V = L^3$.Taking the logarithmic derivative,we get $\frac{dV}{V} = 3 \frac{dL}

Vedclass · Accepted Answer

$0.03$

Vedclass · Answer

(D) Let the side of the cube be $L$. The volume of the cube is given by $V = L^3$.Taking the logarithmic derivative,we get $\frac{dV}{V} = 3 \frac{dL}{L}$.Here,the change in length is given as $\frac{dL}{L} = -1\% = -0.01$.The bulk strain is defined as the fractional change in volume,which is $\frac{\Delta V}{V}$.Using the relation $\frac{\Delta V}{V} = 3 	imes \frac{\Delta L}{L}$,we have $\frac{\Delta V}{V} = 3 	imes (-0.01) = -0.03$.The magnitude of the bulk strain is $|\frac{\Delta V}{V}| = 0.03$.

$A$ uniform cube is subjected to volume compression. If each side is decreased by $1\%,$ then the bulk strain is

Similar Questions

$A$ ball is thrown on a lawn in such a way that it initially slides with a speed $v_0$ without rolling. It gradually picks up rotational motion. Find the speed of the ball at which there will be rolling without slipping.

An inductance $L$ having a resistance $R$ is connected to an alternating source of angular frequency $\omega$. The Quality factor $Q$ of the inductance is

Which of the following electronic configurations is not possible?

$AB_{3(g)}$ dissociates as: $AB_{3(g)} \rightleftharpoons AB_{2(g)} + \frac{1}{2}B_{2(g)}$. When the initial pressure of $AB_3$ is $800 \ torr$ and the total pressure developed at equilibrium is $900 \ torr$,what percentage of $AB_{3(g)}$ is dissociated?

The combination of the gates shown in the figure below produces which gate?

Vedclass Test Series

Exam Paper Generator

Online Exam Module