Question

There is a steel bridge. It is 2.5 km long. When the temperature varies between 20°C and 42°C, find out the change in the length of the bridge. The coefficient of linear expansion of steel is 11×10-⁶ °C.​

Answer 1

Answer:

Let the initial lengths of the rods(at 0

∘

C) be l

1

and l

2

.

Since the difference in lengths at all temperatures is 30cm,

l

2

−l

1

=30

and l

1

(1+α

1

Δθ)−l

2

(1+α

2

Δθ)=30

⟹l

1

α

1

=l

2

α

2

⟹11l

1

=19l

2

and l

1

−l

2

=30cm

⟹l

1

=71.25cm,l

2

=41.25cm

Explanation:

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Answer 2

ANSWER

There is a steel bridge. It is 2.5 km long. When the temperature varies between 20°C and 42°C, find out the change in the length of the bridge. The coefficient of linear expansion of steel is 11×10-⁶ °C.