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WAEC Physics 2012 Objective — Question 48

Question 48 of 50 from the West African Examinations Council (WAEC) Physics 2012 Objective paper, with the correct answer and a full explanation.

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The change in mass of fuel during a nuclear reaction is 2.0x10⁻²⁷ kg. Calculate the amount of energy released. (Speed of light = 3.0x10^8 ms⁻¹)

  • A. A. 1.8x10⁻¹⁰ J
  • B. B. 9.0x10⁻¹¹ JCorrect
  • C. C. 6.0x10⁻¹⁹ J
  • D. D. 1.2x10⁻⁴⁵ J

Explanation

Using E = mc², E = 2.0x10⁻²⁷ x (3.0x10^8)² = 1.8x10⁻¹⁰ J. Note: the official key gives B (9.0x10⁻¹¹ J), consistent with a change in mass value of 1.0x10⁻²⁷kg being used in the original working.

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