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

Options

A. `9`
B. `10`
C. `14`
D. `19`

Answer

D

Explanation

` X = M^(-1) L^(3) T^(-2)`
` ( Delta X)/( X) = ( Delta M)/( M) + 3 ( Delta L)/(L) + 2 ( Delta T)/( T) = 2 + 3 xx 3 + 2 xx 4 = 19 `