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Byju's Answer
Standard XIII
Physics
Longitudinal Stress
A and B are t...
Question
A and B are two wires. The radius of A is twice that of B. they are stretched by the same load. Then the stress on B is
A
Equal to that on A
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B
Four times that on A
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C
Two times that on A
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D
Half that on A
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Solution
The correct option is
B
Four times that on A
Stress =
F
o
r
c
e
A
r
e
a
=
F
π
r
2
∴
S
t
r
e
s
s
∝
1
r
2
⇒
(
S
t
r
e
s
s
)
B
(
S
t
r
e
s
s
)
A
=
(
r
A
r
B
)
2
=
(
2
)
2
⇒
(
S
t
r
e
s
s
)
B
=
4
×
(
S
t
r
e
s
s
)
A
[As F = constant]
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