JEE Main On 16 April 2018 Question 14
Question: 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=\frac{P^{3}Q^{2}}{\sqrt{RS}}. $ The maximum percentage error in the value of will be [JEE Main 16-4-2018]
Options:
A) $ 8.5% $
B) $ 6.0% $
C) $ 7.5% $
D) $ 6.5% $
Show Answer
Answer:
Correct Answer: D
Solution:
Percentage error $ \frac{\Delta \alpha }{A}\times 100=3\frac{\Delta P}{P}\times 100+2\frac{\Delta Q}{Q}+\frac{1}{2}\frac{\Delta R}{R}\times 100+\frac{\Delta S}{S}\times 100 $
$ =3\times 0.5+2\times 1+0.5\times 3+1.5=6.5 $
