Question

Problems: 1. A solid rod is made
of a substance that has a linear
coefficient of thermal expansion
of 2.5x10.5°C. The rod increases
in length by 0.12 mm when its
temperature increases by 75 C.
Find the length of the rod after this
temperature increase. Answer to
three significant figures.
5:17 pm v​

Answer 1

Answer:

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Explanation:

We know, α=

l×dt

dl

where dl= change in length and l= initial length and dt= change in temperature.

So, dt=

l×α

dl

In this case, α=2×10

−5

/

∘

C

l=1 m

t=25

0

C

dl=1mm=1×10

−3

m

Putting these values we get, dt=50/

∘

C

Since present temperature =25

∘

C

The final temperature should be −25

∘

C

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Answer verified by Toppr

No S

The length of a rod is 150cm at 25

∘

C, find its length when it is heated to 150

∘

C. (α

steel

=2.2×10

−5

/

C).