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Q.

A ball of mass m is thrown vertically upward. Another ball of mass 2 m is thrown at an angle $θ$ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is $\frac{1}{x}$ . The value of x is _____ .

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Detailed Solution

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Time of flight is same $\Rightarrow$ vertical component of velocity is same

$\Rightarrow H_{max} is same$

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A ball of mass m is thrown vertically upward. Another ball of mass 2 m is thrown at an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is 1x. The value of x is _____ .