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A metal rod has a length of 100cm at 200oC. At what ...

A metal rod has a length of 100cm at 200oC. At what temperature will its length be 99.4cm. If the linear expansivity of the material of the rod is 2 x 105C1

A.

200oC

B.

300oC

C.

100oC

D.

-100oC

Correct answer is D

L1 = 100cm, T1 = 200oC

L2 = 99.4cm,T2 = ?

α = 2 x 105C1

α = L2L1L1(T2T1)

2 x 105=99.4100100(T2200)=0.6100(T2200)

2 x 105 x 100(T2200)=0.6

T2200=0.60.002=300oC

T2=200300=100oC