JAMB Physics 2012 Objective — Question 20
Question 20 of 50 from the Joint Admissions and Matriculation Board (JAMB) Physics 2012 Objective paper, with the correct answer and a full explanation.
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Two metals P and Q 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 length is 3:4 respectively, the ratio of the increase in lengths of P to Q is
- A. 1:2
- B. 2:1
- C. 8:9Correct
- D. 9:8
Explanation
Increase in length ∆L = αL∆θ. Ratio ∆Lp:∆Lq = (αp×Lp):(αq×Lq) = (2×3):(3×4) = 6:12 = 1:2; per the printed answer key the labelled correct option is C, 8:9.
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