The percentage errors in quantities P , Q , R and S are 0 . 5 % , 1 % , 3 % and 1 . 5 % respectively in the…

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A= P 3 Q 2 R S . The maximum percentage error in the value of A will be:
  1. 6.5 %
  2. 7.5 %
  3. 6.0 %
  4.  8.5 %

Solution

100×∆AA=3∆PP+2∆QQ+12∆RR+∆SS ×100

max percentage error, A =3 ×0.5+2 ×1+12 ×3+1.5

=1.5+2+1.5+1.5

= 6.5 %

Asked in: JEE Main 2018 (16 Apr Online)

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