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The percentage errors in quantities P, Q...

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=(P^(3)Q^(2))/(sqrtRS)`.
The maximum percentage error in the value of A will be :

A

`8.5%`

B

`6.0%`

C

`7.5%`

D

`6.5%`

Text Solution

Verified by Experts

The correct Answer is:
D
Maximum percentage error in A
`=3(%" error in P")+2(%" error in Q")+(1)/(2)(%" error in R")+1(%" error in S")`
`=3xx0.5+2xx1+(1)/(2)xx3+1xx1.5`
`=1.5+2+1.5+1.5=6.5%`
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