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%

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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$%



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