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WAEC Physics 2022 Objective — Question 40

Question 40 of 50 from the West African Examinations Council (WAEC) Physics 2022 Objective paper, with the correct answer and a full explanation.

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The diameter of a brass ring at 30°C is 50.0cm. To what temperature must this ring be heated to increase its diameter to 50.29cm? [linear expansivity of brass=1.9×10⁻⁵ K⁻¹]

  • A. 152.6°C
  • B. 182.6°C
  • C. 306.1°C
  • D. 335.3°CCorrect

Explanation

Δl=αl₀Δθ. Δθ=Δl/(αl₀)=(50.29−50)/(1.9×10⁻⁵×50)=0.29/9.5×10⁻⁴=305.3°C. New temp=30+305.3=335.3°C.

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