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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

`6.5%`

B

`7.5%`

C

`6.0%`

D

`8.5%`

Text Solution

Verified by Experts

The correct Answer is:
A
`(triangleA)/(A)xx100= (3triangle P)/(P)xx100+(triangleQ)/(Q)xx100+(1)/(2)(triangleR)/(R )xx100+ (triangleS)/(S)xx100`
`= 3xx0.5+2xx1+(1)/(2)xx3+1.5`
`=1.5+2+1.5+1.5`
`(triangleA)/(A)=6.5%`
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