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Question
Physics
A steel rod of length 1 m and radius 10 mm is stretched by a force 100 kN along its length. The stress produced in the rod is (YSteel=2×1011N m-2)
Q. A steel rod of length
1
m
and radius
10
mm
is stretched by a force
100
k
N
along its length. The stress produced in the rod is
(
Y
St
ee
l
=
2
×
1
0
11
N
m
−
2
)
2890
240
Mechanical Properties of Solids
Report Error
A
3.18
×
1
0
6
N
m
−
2
12%
B
3.18
×
1
0
7
N
m
−
2
20%
C
3.18
×
1
0
8
N
m
−
2
47%
D
3.18
×
1
0
9
N
m
−
2
21%
Solution:
Here,
r
=
10
mm
=
10
×
1
0
−
3
m
=
1
0
−
2
m
L
=
1
m
,
F
=
100
k
N
=
100
×
1
0
3
N
=
1
0
5
N
Stress produced in the rod is
Stress
=
A
F
=
π
r
2
F
=
3.14
×
(
1
0
−
2
m
)
2
100
×
1
0
3
N
=
3.18
×
1
0
8
N
m
−
2