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Byju's Answer
Standard XII
Physics
Bulk Modulus
Y, K, η repre...
Question
Y
,
K
,
η
represent respectively the youngs modulus,bulk modulus and rigidity modulus of a body. If rigidity modulus is twice the bulk modulus, then
A
Y
=
5
K
/
18
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B
Y
=
5
η
/
9
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C
Y
=
9
K
/
5
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D
Y
=
18
K
/
5
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Solution
The correct option is
D
Y
=
18
K
/
5
Given, young's modulus
=
Y
bulk modulus
=
K
modulus of rigidity
=
η
We know that,
Y
=
3
k
(
1
−
2
σ
)
Y
=
2
n
(
1
+
σ
)
where
σ
is the stress applied.
Now, on eliminating
σ
from above equations, we get
Y
=
9
n
k
η
+
3
k
Given,
η
=
2
K
∴
Y
=
18
K
5
Hence, option
D
is the correct answer.
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