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Physics · 2020

JEE Main · 8 January 2020, Shift 2 · Q3

A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards…

A particle of mass $\displaystyle m$ is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of $\displaystyle \sqrt{2 \mathrm{gh}}$. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of $\displaystyle \sqrt{\frac{\mathrm{h}}{\mathrm{g}}}$ is :
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JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.