Question

Trajectories of two projectiles are shown in figure, let T₁ and T₂ be the periods and u₁ and u₂ are their speeds of projections, then [UP CPMT 2012]

Moderate

Solution

$H_{1} > H_{2}$
$u_{1} \sin α_{1} > u_{2} \sin α_{2} S i n c e α_{1} > α_{2} w e c o n c l u d e u_{1} < u_{2}$
Also T = $\frac{2 u \sin α}{2}$ .
Since $u_{1} \sin α_{1} > u_{2} \sin α_{2}, w e c a n c o n c l u d e T_{1} > T_{2}$

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