v20

Options

A. `4:1`
B. `3:1`
C. `1:4`
D. `1:3`

Answer

C

Explanation

`{:("Case - I" ," Case - II"),("Height, h " = h_(1),"Height , h " = h_(2)),("Time taken, " t_(1) = t, "Time taken ," t_(2) = 2 t ):}`
We know that, ` t = sqrt(( 2 h)/( g))`
Since ` h prop t^(2)` , as the ratio of both cases gives us
`(h_(1))/(h_(2)) = (t^(2))/((2 t)^(2)) = (t^(2))/( 4 t^(2)) = (1)/(4)`
The ratio of `h_(1) and h_(2)` is 1 : 4