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Metal rods of length 20m each are laid end to e... - JAMB Physics 2004 Question

Metal rods of length 20m each are laid end to end to form a bridge at 25oC. What gap will be provided between consecutive rails for the bridge to withstand 75oC?

[Linear expansivity of the material = 2.0 x 10-5K-1

A
0.20m
B
0.22m
C
0.25m
D
0.02m
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Correct Option: D

Safety gap = expansion of the rod

= ∝Lo Δ t

= 2.0 x 10-5 x 20 x (75 - 25)

= 2.0 x 10-5 x 20 x 50

= 2.0 x 10-5 x 103

= 2.0 x 10-2 OR 0.02m

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