Question

At 15°c the height of Eifel tower is 324m. If it is made of iron
What will be the increase in length in cm, at 30°C?​

Answer 1

$\huge \fbox \pink{Answer:}$

Given:

$⇒ \textbf{Initial Height of Eiffel tower} = (l_{1})$

$\textbf{⇒324 m, initial temperature } = (T_{1})$

$⇒ \textbf{15° C final temperature} (T_{2}) = 30° ,$

$⇒\text{Coefficient of linear expansion for }$

$⇒iron = 11.5 \times 10 {}^{ - 6} (1/°C)$

$\fbox{To Find:}$

$\textbf{Increase in the height}(l_{2} - l_{1})$

$\sf \colorbox{pink} {Formula:}$

$l_{2} = l_{1}(1 + \gamma ∆T)$

$\sf \colorbox{pink} {Calculation:} \: \: \: \: \: \: \: \: \text{From Formula ,}$

$⇒l_{2} = l_{1} + \gamma l_{1}∆T$

$∴ \: \: \: \: \: l_{2} - l_{1} = \gamma l_{1}∆T$

$= 11.5 \times {10}^{ - 6} \times 324 \times (30 - 15)$

$= 11.5 \times 4860 \times {10}^{ - 6}$

$= 0.056 \: m$

$= (0.056 \times 100) \: cm$

$= 5.6 \: cm$

$\\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$