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Physics
Problem
The length of metallic wire is
ℓ
1
\ell_1
ℓ
1
when tension in it is
T
1
T_1
T
1
. It is
ℓ
2
\ell_2
ℓ
2
when the tension is
T
2
T_2
T
2
. The original length of the wire will be - (a)
ℓ
1
+
ℓ
2
2
\frac{\ell_1 + \ell_2}{2}
2
ℓ
1
+
ℓ
2
(b)
T
2
ℓ
1
+
T
1
ℓ
2
T
1
+
T
2
\frac{T_2 \ell_1 + T_1 \ell_2}{T_1 + T_2}
T
1
+
T
2
T
2
ℓ
1
+
T
1
ℓ
2
(c)
T
2
ℓ
1
−
T
1
ℓ
2
T
2
−
T
1
\frac{T_2 \ell_1 - T_1 \ell_2}{T_2 - T_1}
T
2
−
T
1
T
2
ℓ
1
−
T
1
ℓ
2
(d)
T
1
ℓ
1
−
T
2
ℓ
2
T
2
−
T
1
\frac{T_1 \ell_1 - T_2 \ell_2}{T_2 - T_1}
T
2
−
T
1
T
1
ℓ
1
−
T
2
ℓ
2
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