Physics And Measurement Question 285
Question: In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows $ P=\frac{a^{3}b^{2}}{cd}% $ error in P is
Options:
A) 10%
B) 7%
C) 4%
D) 14%
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ P=\frac{a^{3}b^{2}}{cd},\frac{\Delta P}{P}\times 100$%$=3\frac{\Delta a}{a}\times 100$%
$ +2\frac{\Delta b}{b}\times 100$%$+\frac{\Delta c}{c}\times 100$%$+\frac{\Delta d}{d}\times 100$%
$ =3\times 1$%$+2\times 2$%$+3$%$+4$%$=14$%
