A metre stick is held vertically with one end on the floor and is then allowed to fall . Find the speed of the other end when it hits the floor , assuming that the end of the floor does not slip . Take g = 10 m/`s^(2)`.
`[sqrt30 m//s]`

Options

A. 3.2 m/s
B. 5.4 m/s
C. 7.6 m/s
D. 9.2 m/s

Answer

B

Explanation

`mg xx l/2 = 1/2 xx (ml^(2))/3 xx omega^(2)`
`mg xx l/2 = 1/2 xx (ml^(2))/3 xx omega^(2)`
` omega = sqrt ((3g)/l ) rArr v = r omega = l sqrt((3g)/l ) = sqrt(3gl) = sqrt(3xx 9.8 xx 1 )`