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Post-UTME Mathematics 2013 Objective — Question 13

Question 13 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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

  • A. S²/(2rπ²Q) - K/Q
  • B. S²/(2rπ²Q) - K/(4rπ²Q)
  • C. S²/(2rπ²Q) - K/Q
  • D. S²/(4rπ²Q) - K/QCorrect

Explanation

Squaring and rearranging: S²/(4π²r²)=QT+K, so T = S²/(4π²r²Q) - K/Q.

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