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JEE Main 26 Feb 2021 Shift 1 Solved Paper
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© examsnet.com
Question : 8
Total: 90
The normal density of a material is
ρ
and its bulk modulus of elasticity is
K
. The magnitude of increase in density of material, when a pressure
p
is applied uniformly on all sides, will be
[26 Feb 2021 Shift 1]
ρ
K
p
ρ
p
K
K
ρ
p
p
K
ρ
Validate
Solution:
Given, density of material
=
ρ
Bulk modulus of elasticity
=
K
and applied pressure
=
p
Let change in volume and density be
∆
V
and
∆
ρ
respectively and initial volume and density be
V
and
ρ
.
Since,
K
=
p
−
∆
V
V
. . . (i)
and density
(
ρ
)
=
m
a
s
s
(
m
)
volume
(
V
)
∴
∆
ρ
ρ
=
−
∆
V
V
Substituting it in Eq. (i), we get
−
∆
V
V
=
p
K
=
∆
ρ
ρ
∴
∆
ρ
=
p
ρ
K
© examsnet.com
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