Question

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

Answer 1

Temperature in (Celcius)=15 degrees
Height in this temperature=324m
New Temperature =30 degrees
New length=?
Therefore new length is =324×30÷15
=648m
We know ,
To convert metre into centimetre we have multiply the number by 100
As,1 m = 100 cm
648m = 648×100
=64800cm
Hence,the height of Eiffel tower at 30 degrees will be 64800cm.

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Answer 2

Answer:

Initial temperature - 15℃

Final temperature - 30℃

Initial length - 324 m = 324 × 100 = 32400cm

Final length = ?

Coefficient for linear expansion =

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

ΔT (Change in temperature)= 30℃ - 15℃ = 15℃

According to the formula for linear expansion,

$\frac{Δl}{l} = \: 32400 \times 11.5 \times {10}^{ - 6} \times 15 \\ ( \: where \: \: Δl \: = change \: in \: length \: ) \\ = Δl = 5.6cm$

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