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Steel bars each of length 3m at 28°C are to be used f...

Steel bars each of length 3m at 28°C are to be used for constructing a rail line. If the linear expansitivity of the steel is 1 x 105K1,what is the safety gap that must be left between the successive bars if the highest temperature expected is 40°C?

A.

1.2x 101cm

B.

7.2x101cm

C.

6x101cm

D.

3.6x102cm

E.

1.8x101cm

Correct answer is D

α=ΔLL1Δθ;ΔL=αL1Δθ1.0×105×300×(4028)=0.036or3.6×102