JEE Physics · Hard

Errors and Measurements: Error in Complex Formula MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Error in Complex FormulaHardQuestion 30146

Question

If Y = √(A/B) and %errors in A and B are 4% and 2% respectively, the %error in Y is:
  1. A
    3%
    Correct
  2. B
    2%
  3. C
    1%
  4. D
    6%

Correct answer

3%

Explanation

Y = A^(1/2) / B^(1/2). %error in Y = (1/2)(4%) + (1/2)(2%) = 2% + 1% = 3%.