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Standard Equation of Parabola

When the tens...

Question

When the tension in a metal wire is $T_{1}$ , its length is $l_{1}$ . When the tension is $T_{2}$ , its length is $l_{2}$ . The natural length of wire is

\frac{T_{2}}{T_{1}} (l_{1} + l_{2})

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T_{1} l_{1} + i_{2} l_{2}

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\frac{{l_{1} T}_{2} - {l_{2} T}_{1}}{T_{2} - T_{1}}

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\frac{{l_{1} T}_{2} + {l_{2} T}_{1}}{T_{2} + T_{1}}

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Solution

The correct option is C $\frac{{l_{1} T}_{2} - {l_{2} T}_{1}}{T_{2} - T_{1}}$
$\frac{Δ l}{l} = \frac{F}{A Y} T h u s, \frac{l_{1} - l}{l} = \frac{T_{1}}{A Y} a n d \frac{l_{2} - l}{l} = \frac{T_{2}}{A Y}$
Solve the 2 equations to get,
$A Y = \frac{T_{1} l}{l_{1} - l}, g i v i n g T_{2} l (l_{1} - l) = T_{1} l (l_{2} - l) o r l = \frac{T_{2} l_{1} - T_{1} l_{2}}{T_{2} - T_{1}}$

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