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JEE Main202127 Jul 2021Evening ShiftPhysicsMathematics in PhysicsActual

A physical quantity y is represented by the formula y = m 2 r - 4 g x l - 3 2 If the percentage errors found in y , m , r , l and g are 18 , 1 , 0 . 5 , 4 and p respectively, then find the value of x and p .

Options

  1. A5 and ± 2
  2. B4 and ± 3
  3. C16 3 and ± 3 2
  4. D8 and ± 2

Correct answer

C. 16 3 and ± 3 2

Step-by-step solution

Δ y y = 2 Δ m m + 4 Δ r r + x Δ g g + 3 2 Δ l l 18 = 2 ( 1 ) + 4 ( 0 . 5 ) + x p + 3 2 ( 4 ) 8 = x p By checking from options. x = 16 3 ,   p = ± 3 2

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