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AP EAMCET202420 May 2024Morning ShiftMathematicsApplication of DerivativesActual

If T =2 ~L 8 , g is a constant and the relative error in T is k times to the percentage error in L then 1 k =

Options

  1. A2
  2. B1 200
  3. C200
  4. D1 2

Correct answer

C. 200

Step-by-step solution

T=2 L g d T d L = L g Relation error in T= d T T = L g d L g L 1 2 d T T = d L 2 L ....(i) Also, d T T =k ( d L L 100 ) ....(ii) So, from (i) and (ii), k ( d L L 100 )= d L 2 L k= 1 200 1 k =200

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