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Standard VI
Geography
Climatic regions
The length of...
Question
The length of a metal wire is l1 when the tension in it T1 and is l2 when the tension is T2. The natural length of the wire is
(a)
l
1
+
l
2
2
(b)
l
1
l
2
(c)
l
1
T
2
-
l
2
T
1
T
2
-
T
1
(d)
l
1
T
2
+
l
2
T
1
T
2
+
T
1
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Solution
Correct option: (c)
)
Let
the
Young
'
s
modulus
be
Y
.
C
.
S
.
A
.
=
A
Actual
length
of
the
wire
=
L
For
tension
T
1
:
Y
=
T
1
A
L
-
l
1
L
.
.
.
(
1
)
For
tension
T
2
:
Y
=
T
2
A
L
-
l
2
L
.
.
.
(
2
)
From
(
1
)
and
(
2
)
:
T
1
A
L
-
l
1
L
=
T
2
A
L
-
l
2
L
⇒
T
1
L
-
l
1
=
T
2
L
-
l
2
⇒
L
=
T
2
l
1
-
T
1
l
2
T
2
-
T
1
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