An external pressure P is applied on a cube at 0^o C so that it i… - Vidyadip

MCQ

An external pressure $P$ is applied on a cube at $0^o C$ so that it is equally compressed from all sides. $K$ is the bulk modulus of the material of the cube and a is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by

✓
$\frac{P}{{3\alpha K}}$
B
$\;\frac{P}{{\alpha K}}$
C
$\;\frac{{3\alpha }}{{PK}}$
D
$\;3PK\alpha $

✓

Answer

Correct option: A.

$\frac{P}{{3\alpha K}}$

a
As we know , Bulk modulus

$K = \frac{{\Delta P}}{{\left( {\frac{{ - \Delta V}}{V}} \right)}} \Rightarrow \frac{{\Delta V}}{V} = \frac{P}{K}$

$V = {V_0}\left( {1 + \gamma \Delta t} \right)$

$\frac{{\Delta V}}{{{V_0}}} = \gamma \Delta t$

$\therefore \frac{P}{K} = \gamma \Delta t \Rightarrow \Delta t = \frac{P}{{\gamma K}} = \frac{P}{{3\alpha K}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The temperature at which thermal electric power of a thermo couple becomes zero is called

Three capacitors of capacity ${C_1},\;{C_2}\;{C_3}$ are connected in series. Their total capacity will be

For ferromagnetic material, the relative permeability $({\mu _r})$, versus magnetic intensity $ (H)$ has the following shape

Which of the following are suitable for the fusion process

The magnetic field at the centre of an equilateral triangular loop of side $2\,L$ and carrying a current $i$ is

The five sides of a regular pentagon are represented by vectors $A _1, A _2, A _3, A _4$ and $A _5$, in cyclic order as shown below. Corresponding vertices are represented by $B _1, B _2, B _3, B _4$ and $B _5$, drawn from the centre of the pentagon.Then, $B _2+ B _3+ B _4+ B _5$ is equal to

A point charge $q_1=4 q_0$ is placed at origin. Another point charge $q_2=-q_0$ is placed at $x =12\,cm$. Charge of proton is $q_0$. The proton is placed on $x$-axis so that the electrostatic force on the proton in zero. In this situation, the position of the proton from the origin is $..........cm$.

From which source a continuous emission spectrum and a line absorption spectrum are simultaneously obtained

Three capacitors $2$ $\mu F$, $3$ $\mu F$ and $5$ $\mu F$ can withstand voltages to $3\,V, 2\,V$ and $1\,V$ respectively. Their series combination can withstand a maximum voltage equal to.....$Volts$

A bar magnet of length $6\,cm$ has a magnetic moment of $4\,J\,T^{-1}$. Find the strength of magnetic field at a distance of $200\,cm$ from the centre of the magnet along its equatorial line.