The dimensional formula for a physical quantity `x` is `[M^(-1) L^(3) T^(-2) ]` . The errors in measuring the quantities `M , L , and T,` respectively are `2%, 3% , and 4%`. The maximum percentage of error that occurs in measuring the quantity `x` is

Explanation

`X=M^(-1)L^(3)T^(-2)`
`(dM)/(M) xx 100=2%,(dL)/(L) xx 100=3%,(dT)/(T) xx 100=4%`
Maximum percentage error in
`X=(DeltaM)/(M) xx 100+3(DeltaL)/(L) xx 100+2(DeltaT)/(T) xx 100`
`=2+(3 xx 3)+(2 xx 4)=2+9+8`
Maximum error in X=19%