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An experiment measures quantities a,b,c ...

An experiment measures quantities `a,b,c` and then `X` is calculated from `X=(a^(1//2)b^(2))/(c^(3)).` If the percentage errors in `a,b,c` are `+-1%` `+-3%` and `+-2%` respectively, then the percentage error in `X` can be :

A

`+-12.5%`

B

`+-7%`

C

`+-1%`

D

`+-4%`

Text Solution

Verified by Experts

The correct Answer is:
A
`X=(a^(1//2)b^(2))/(c^(3))`
`(DeltaX)/(X)xx100=(1)/(2)(Deltaa)/(a)xx100+2(Deltab)/(b)xx100+3(Deltac)/(c )xx100`
`(1)/(2)xx1+2xx3+3xx2=12*5%`
Hence correct choice is `(a)`.
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