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Question
Physics
A stress of 3.18 × 108 Nm -2 is applied to a steel rod of length 1 m along its length. Its Young's modulus is 2 × 1011 N-m-2. Then, the elongation produced in the rod (in mm ) is
Q. A stress of
3.18
×
1
0
8
N
m
−
2
is applied to a steel rod of length
1
m
along its length. Its Young's modulus is
2
×
1
0
11
N
−
m
−
2
. Then, the elongation produced in the rod (in
mm
) is
6329
199
Punjab PMET
Punjab PMET 2008
Mechanical Properties of Solids
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A
3.18
11%
B
6.36
25%
C
5.18
13%
D
1.59
51%
Solution:
Y
=
A
Δ
l
F
/
A
Given,
A
F
=
stress
=
3
⋅
18
×
1
0
8
N
m
−
2
l
=
1
m
,
Y
=
2
×
1
0
11
N
m
−
2
Δ
l
=
Y
l
(
A
F
)
=
2
×
1
0
11
1
×
3.18
×
1
0
8
=
1.59
×
1
0
−
3
m
=
1.59
mm