A physical quantity X is given by
`X=(2k^(3)l^(2))/(msqrt(n))`
The percentage error in the measurement of K,l,m and n are 1%,2%, 3% and 4% respectively. The value of X is uncertain by

Options

A. `8%`
B. `10%`
C. `12%`
D. None of the above

Answer

C

Explanation

`X=(2k^3l^2)/(msqrtn)`
`implies ((Deltax)/x )xx100 = (3(Deltak)/k+2 (Deltal)/l+(Deltam)/m+1/2 (Deltan)/n)xx100`
`=3 xx 1 + 2 xx 2 + 3 +1/2 xx 4 = 12%`