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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=a3b2cd. % error in P is

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By Expert Faculty of Sri Chaitanya
a
7%
b
4%
c
14%
d
10%

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detailed solution

Correct option is C

As P=a3b2cd% error in P is ΔPP×100=3Δaa+2Δbb+Δcc+Δdd×100 =[3×1%+2×2%+3%+4%]=14%


Similar Questions

A physical quantity A is related to four observable a, b, c and d as A=a2b3cd . The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 2 % respectively. What is the percentage error in the quantity A ?

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