Circumference of a circular ring is C1 at t1°Celsius and C2 at t2°Celsius.Show that coefficient of linear expansion of the material of the ring.
Give the value of α?
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C1 = Co + (Co)(A)t1 ........(i)
C2 = Co + (Co)(A)t2..........(ii)
Dividing (i) by (ii),
(C1)/(c2) = (1 + A.t1)/(1 + At2) ...........(iii)
From (iii),
A = ( C 1 − C 2 ) / ( C 2 . t 1 − C 1 . t 2 )
Here,
A = Alpha(i.e coefficient of linear expansion),
Co = Circumference of the circular ring at 0 o C