A circular disc of radius r = 5 m is rotating in horizontal plane about y-axis. Y-axis is vertical axis passing through the centre of disc and x-z is the horizontal plane at ground. The height of disc above ground is h = 5 m. Small particles are ejecting from disc in horizontal direction with speed 12 m/s from the circumference of disc then the distance of these particles from origin when they hits the x-z plane is

Question

A circular disc of radius r = 5 m is rotating in horizontal plane about y-axis. Y-axis is vertical axis passing through the centre of disc and x-z is the horizontal plane at ground. The height of disc above ground is h = 5 m. Small particles are ejecting from disc in horizontal direction with speed 12 m/s from the circumference of disc then the distance of these particles from origin when they hits the x-z plane is (A) 12 m (B) 13 m (C) 5 m (D) None of these

Tardigrade Admin · Accepted Answer

R = u √(2 h / g )=12 √(10/10)=12 m ∴ S =√ R 2+ r 2=13 m

$12$ m

$13$ m

$5$ m

None of these

$R = u \frac{2 h}{g} = 12$
$\frac{10}{10} = 12 m$
$∴ S = R^{2} + r^{2} = 13 m$

12 m

13 m

5 m

None of these

R=ug2h​​=12 1010​​=12m ∴S=R2+r2​=13m

$12$ m

$13$ m

$5$ m

$R = u \frac{2 h}{g} = 12$
$\frac{10}{10} = 12 m$
$∴ S = R^{2} + r^{2} = 13 m$