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Byju's Answer
Standard XII
Physics
Young's Modulus of Elasticity
In case of be...
Question
In case of bending of a beam, depression
δ
depends on Young modulus of elasticity
Y
as
A
∝
Y
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B
∝
Y
2
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C
∝
Y
−
1
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D
∝
Y
−
2
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Solution
The correct option is
B
∝
Y
−
1
In case of bending of a beam, depression
δ
depends on Young modulus of elasticity
Y
as
δ
=
P
L
3
48
Y
I
∴
δ
∝
Y
−
1
Depression
δ
=
W
L
3
4
b
d
3
Y
⇒
δ
∝
1
Y
Depression δ=WL34bd3Y⇒δ∝1
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Similar questions
Q.
A beam of cross section area
A
is made of a material of Young modulus
Y
. The beam is bent into the arc of a circle of radius
R
. The bending moment is proportional to
Q.
Two rods of different materials having coefficients of linear expansions
α
1
and
α
2
and young's modulus of elasticity
Y
1
and
Y
2
respectively, are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature without bending. If
α
1
:
α
2
=
2
:
3
,
then the thermal stress developed in the two rods will be equal if
Y
1
:
Y
2
is equal to
Q.
A metallic beam having Young's modulus
Y
is supported at the two ends. It is loaded at the centre. The depression of the centre is proportional to
Q.
Work done in streatching uniform rod of length
L
and area of crossection
A
by small amount
x
is
[
Y
is youngs modulus]
Q.
For two different materials, it is given that
Y
1
>
Y
2
and
B
1
<
B
2
. Here,
Y
is Young’s modulus of elasticity and
B
, the Bulk modulus of elasticity. Then we can conclude that :
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