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AIIMS2018PhysicsMathematics in Physics

The percentage error in measuring M , L and T are 1 %, 1.5 % and 3 % respectively. Then the percentage error in measuring the physical quantity with dimensions [ ML ⁻¹ ~T ⁻¹ ] is

Options

  1. A1 %
  2. B3.5 %
  3. C3 %
  4. D5.5 %

Correct answer

D. 5.5 %

Step-by-step solution

( Let X= [ ML ⁻¹ ~T ⁻¹ ] Percentage error in X is X X 100= ( M M + L L + T T ) 100 Here, M M 100=1 %, L L 100=1.5 % and aligned & T T 100=3 % & X X 100=1 %+1.5 %+3 %=5.5 % aligned

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