The pressure applied from all directions on a cube is $p$ . How much its temperatures should be raised to maintain the original volume? The volume elasticity of the cube is $β$ and the coefficient of volume expansion is $α$ .

\frac{p}{α β}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{p α}{β}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{p β}{α}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{α β}{p}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{p}{α β}$
If coefficient of volume expansion is $α$ and rise in temperature is

$Δ θ$ , then $Δ$ V $=$ V $α Δ θ$

$\Rightarrow \frac{Δ V}{V} = α Δ θ$

$∴$ Volume elasticity, $β = \frac{ρ}{Δ V / V}$

$= \frac{ρ}{α Δ θ}$

$\Rightarrow Δ θ = \frac{ρ}{α β}$ .

Suggest Corrections

Similar questions

Q. The pressure applied from all directions on a cube is

P

. How much its temperature should be raised to maintain the original volume?
(The volume elasticity of the cube is

β

and the coefficient of volume expansion is

α

)

Q. The pressure applied from all directions on a cube is

P

. How much its temperature should be raised to maintain the original volume?
(The volume elasticity of the cube is

β

and the coefficient of volume expansion is

α

)

A uniform pressure P is exerted on all sides of a solid cube at temperature $t^{\circ} C$ . By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of the cube is $α$ and the bulk modulus is $β$ .

Q. A constant pressure

P

is applied on a cube from all directions. By what amount should its temperature be raised so that its volume remains constant. The bulk modulus of the material of the cube is

K

and its coefficient of cubical expansion is

γ

Q. A uniform pressure P is exerted by an external agent on all sides of a solid cube at a temperature t

^{0} C

.By what amount should the temperature of the cube be raised in order to bring its volume back to its original volume before the pressure was applied if the bulk modulus is B and coefficient of volumetric expansion is

γ

Join BYJU'S Learning Program

The pressure applied from all directions on a cube is p. How much its temperatures should be raised to maintain the original volume? The volume elasticity of the cube is β and the coefficient of volume expansion is α.

The correct option is A pαβIf coefficient of volume expansion is α and rise in temperature is Δθ, then ΔV=VαΔθ⇒ΔVV=αΔθ∴ Volume elasticity, β=ρΔV/V=ραΔθ⇒Δθ=ραβ.

The pressure applied from all directions on a cube is $p$ . How much its temperatures should be raised to maintain the original volume? The volume elasticity of the cube is $β$ and the coefficient of volume expansion is $α$ .