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Question
Physics
A metal rod having linear expansion coefficient 2× 10- 5 ° C- 1 has a length of 1 m at 20 ° C . The temperature at which it is shortened by 1 mm is
Q. A metal rod having linear expansion coefficient
2
×
1
0
−
5
∘
C
−
1
has a length of
1
m
at
20
∘
C
. The temperature at which it is shortened by
1
mm
is
3209
253
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A
−
2
0
∘
C
B
−
1
5
∘
C
C
−
3
0
∘
C
D
−
2
5
∘
C
Solution:
From,
l
2
=
l
1
[
1
+
α
(
t
2
−
t
1
)
]
t
2
=
t
1
+
l
1
α
l
2
−
l
1
=
20
+
1.0
×
2
×
1
0
−
5
−
1
0
−
3
=
−
3
0
∘
C