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Byju's Answer
Standard XII
Physics
Young's Modulus of Elasticity
what is the r...
Question
what is the ratio of Youngs modulus
E
to shear modulus
G
in terms of poissons ratio
?
A
2
(
1
+
μ
)
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B
2
(
1
−
μ
)
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C
1
2
(
1
−
μ
)
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D
1
2
(
1
+
μ
)
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Solution
The correct option is
A
2
(
1
+
μ
)
As we know
:
−
G
=
E
2
(
1
+
μ
)
so this gives the ratio of
E
to
G
=
2
(
1
+
μ
)
Hence,
option
(
A
)
is correct answer.
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0
Similar questions
Q.
Choose the correct relationship between Young's modulus
(
Y
)
, shear modulus
(
G
)
and Poisson's ratio
(
μ
)
.
Q.
For an elastic material, Poisson's ratio is
μ
, Modulus of Elasticity is
E
, Modulus of Rigidity is
C
and Bulk Modulus is
K
.
μ
is expressible in terms of
K
and
C
as
Q.
For an isotropic material, the relationship between the young's modulus
(
E
)
, shear modulus
(
G
)
and Poisson's ration
(
μ
)
is given by
Q.
If G is the modulus of rigidity, E the modulus of elasticity and μ the Poisson's ratio for a material, then what is the expression for G ?
Q.
The lists given below refer to. a bar of length L, cross sectional area A, Young's modulus E, Poisson's ratio μ and subjected to axial stress
ρ
. Match List-I with List-II and select the correct answer using the codes given below the lists:
List - I
List - I
A. Volumetric strain
1.
2
(
1
+
μ
)
B. Strain energy per unit volume
2.
3
(
1
−
2
μ
)
C. Ratio of Young's modulus to bulk modulus
3.
ρ
E
(
1
−
2
μ
)
D. Ratio of Young's modulus to modulus of
4.
ρ
2
E
5.
2
(
1
−
μ
)
Codes:
A
B
C
D
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