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WAEC Physics 2018 Theory — Question 8

Question 8 of 27 from the West African Examinations Council (WAEC) Physics 2018 Theory paper, with the correct answer and a full explanation.

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6. A black body radiates maximum energy when its surface temperature T and the corresponding wavelength are related by the equation λmaxT = constant. Given the values of the constant and surface temperature as 2.9×10⁻³mK and 57°C respectively, calculate the frequency of the energy radiated.

Model answer

T = 57+273 = 330K. λmax = 2.9×10⁻³/330 ≈ 8.79×10⁻⁶m. f = c/λmax = (3×10⁸)/(8.79×10⁻⁶) ≈ 3.41×10¹³Hz.

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