1.

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 :

Answer»

`+-12.5%`
`+-7%`
`+-1%`
`+-4%`

Solution :`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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