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Standard XII

Physics

Race of Rollers

Two stones ar...

Question

Two stones are thrown each with a velocity $^{'} g^{'}$ from the same point in opposite direction on the ground. If each has the greatest horizontal range, their separation on reaching the ground is

g

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2 g

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4 g

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8 g

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Solution

The correct option is D $2 g$
The two stones follow projectile motion, with $u = g$ and as greatest range us covered, $θ = \frac{π}{4}$
as Range for each projectile,
$R = \frac{u^{2}}{g}$
separation between them on reaching ground,
$D = 2 R = \frac{2 u^{2}}{g} = \frac{2 g^{2}}{g}$
$\Rightarrow D = 2 g$

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Two stones are thrown each with a velocity ′g′ from the same point in opposite direction on the ground. If each has the greatest horizontal range, their separation on reaching the ground is

The correct option is D 2gThe two stones follow projectile motion, with u=g and as greatest range us covered, θ=π4as Range for each projectile,R=u2gseparation between them on reaching ground,D=2R=2u2g=2g2g⇒D=2g

Two stones are thrown each with a velocity $^{'} g^{'}$ from the same point in opposite direction on the ground. If each has the greatest horizontal range, their separation on reaching the ground is