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A copper rod 5m long when heated through 20c ex... - JAMB Physics 2019 Question

A copper rod, 5m long when heated through 20c, expands by 1mm. If a second copper rod, 2.5m long is heated through 5c, by how much will it expand?

A

4mm

B

A. 2mm

C

B. 0.25mm

D

0.12mm

correct option: b

l\(_1\) = 5m, ΔT = 10c, l\(_2\) - l\(_1\) = 1mm
l\(_1\)  = 2.5m, ΔT = 5c, l\(_2\) - l\(_1\) = ?

α = l\(_2\) - l\(_1\)
l\(_1\)ΔT

 

1
5(10)
= l\(_2\) - l\(_1\)
2.5(5)

 

l\(_2\) - l\(_2\) = 2.5(5)
5(10)
= 1
4
= 0.25mm
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