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JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 1 Questions
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Question : 3
Total: 100
An external pressure
P
is applied on a cube at
0
°
C
so that it is equally compressed from all sides.
K
is the bulk modulus of the material of the cube and
alpha
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:
[2017]
3
α
P
K
3
P
K
α
P
3
α
K
P
α
K
Validate
Solution:
As we know, Bulk modulus
K
=
Δ
P
(
−
Δ
V
V
)
⇒
Δ
V
V
=
P
K
V
=
V
0
(
1
+
γ
Δ
t
)
Δ
V
V
0
=
γ
Δ
t
∴
P
K
=
γ
Δ
t
⇒
Δ
t
=
P
γ
K
=
P
3
α
K
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