In two different system of units an acceleration is represation is represented by the same number, while a velocity is represented by number in the ratio 1:3. The ratios of unit of length and time are respectively

Options

A. `1/3, 1/9`
B. `1/9, 1/3`
C. `1, 1`
D. None of these

Answer

B

Explanation

Length `l=v^(2)/a`, time `t=v/a`
`rArr` ratio of unit of length `=(1/3)^(2)=1/9`
and ratio of unit of time `=1//3`