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JAMB Physics 2007 Objective — Question 28

Question 28 of 50 from the Joint Admissions and Matriculation Board (JAMB) Physics 2007 Objective paper, with the correct answer and a full explanation.

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The ratio of the coefficient of linear expansion of two metals is a1/a2 = 3:4. If, when heated through the same temperature change, the ratio of their increase in lengths (dL1/dL2) is 1:2, the ratio of the original lengths (l1/l2) is

  • A. 2/3Correct
  • B. 3/4
  • C. 1/2
  • D. 3/2

Explanation

Using a = dL/(l.d(theta)) with the same temperature change for both metals: l1/l2 = (dL1/dL2) x (a2/a1) = (1/2) x (4/3) = 2/3.

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