Question

A physical quantity `X `is give by the relation `X = (2h^(3)I^(2))/(2sqrt(n))` The percentage error in the meansurement of k ,I,m and n are `1% ,2%, 3%` and `4%` respectively The value of X is uncertain by
A. 0.08
B. 0.1
C. 0.12
D. none of the above

Answer 1

Given: `X=(2k^(3)l^(2))/(msqrt(n))`
`therefore (DeltaX)/(X)=3(Deltak)/(k)+2(Deltal)/(l)+(Deltam)/(m)+(1)/(2)(Deltan)/(n)`
Percentage error in X
`(DeltaX)/(x)xx100=(3(Deltak)/(k)+2(Deltal)/(l)+(Deltam)/(m)+(1)/(2)(Deltan)/(n))xx100`
`=3xx1%+2xx2%+3%+(1)/(2)xx4%`
`=3%+4%+3%+2%=12%`