Physics JAMB

Metal rods of length 20m each are laid end to end to form a bridge at 25°C. What gap will be provided between consecutive rails for the bridge to withstand 75°C? [Linear expansivity of the material = 2.0 x 10^-5K‾¹]

A. 0.20m
B. 0.22m
C. 0.25m
D. 0.02m

Correct Answer:

Option D = 0.02m

Explanation

Safety gap = expansion of the rod

α×L0×Δtα×L0×Δt

where αα = linear expansivity of the material

L0L0 = Initial length of the material

ΔtΔt = Change in temperature

 The safety gap = 2×10-5×20×(7525)

= 2×10-5×20×(75−25)

2×10-5×103

2×10-5×103

2×1010-2

= 0.02 m

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