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JAMB Mathematics 1995 Question 13

Question 13

Algebraic Expressions

Find T in terms of K, Q and S if S = 2r√(π(QT + K)).

  1. A.S2/(2πr2Q) − K/Q
  2. B.S2/(4πr2Q) − K/Q
  3. C.S2/(2πr2Q) − K
  4. D.S2/(4πr2) − K
Show the answer and explanation

Answer: B (S2/(4πr2Q) − K/Q)

Explanation

Square both sides: S² = 4r²π(QT + K). So QT + K = S²/(4πr²), and T = S²/(4πr²Q) − K/Q.