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A physical quantity P is given by P = (a...

A physical quantity P is given by `P = (a^(2)b^(2))/(cd)`. If the percentage errors of measurement in a,b,c,d are 1%, 2%, 3%, 4% respectively, then calculate the percentage error in the calculatioon of P.

A

0.14

B

0.13

C

0.07

D

0.04

Text Solution

Verified by Experts

The correct Answer is:
A
`(DeltaP)/(P)xx100=3((Deltaa)/(a)xx100)+2((Deltab)/(b)xx100)+((Deltac)/(c)xx100)+((Deltad)/(d)xx100)`
`(3 xx 1 %) + (2 xx 2 %) + 3 % + 4 %`
= 14 %
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