Question

A metal of length 3m expands by Scm when heated through 200°C. Find the linear expansion coefficient of

the metal.
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Answer 1

Explanation:

if s is 5 then u can calculate and alpha

Answer 2

Let coefficient of linear expansion of metal is 'a.

Change in temp. (∆T) = 200℃

Original Length (L) = 3m =

Elongated Length [L(new)] = S cm = 0.0S cm

Thus,

Change in length (∆L) = (0.0S - 3) m

We know that:

∆L = L×a×∆T

a = ∆L/(L.∆T)

a = (0.0S-3)/(3*200)

a = (0.0S-3)/600

Hence, the coefficient of linear expansion of the given metal is (0.0S-3)/600.