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JAMB Physics 2010 Question 16

Question 16

Thermal Expansion

Two metals P and Q of lengths l1 and l2 are heated through the same temperature difference. If the ratio of the linear expansivities of P to Q is 2:3 and the ratio of their lengths is 3:4. What is the ratio of increase in lengths of P to Q?

  1. A.5:7
  2. B.2:1
  3. C.1:2
  4. D.7:5
Show the answer and explanation

Answer: C (1:2)

Explanation

Increase in length = αlΔθ. Ratio = (2/3) × (3/4) = 1/2, so 1 : 2.