Q98 / 200 · NEET 2011 (Screening) · Physics

A boy standing at the top of a tower of $20 \mathrm{~m}$ height drops a stone. Assuming $g=10 \mathrm{~ms}^{-2}$, the velocity with which it hits the ground is

  • Correct answer
    A
    $20 \mathrm{~m} / \mathrm{s}$
  • B
    $40 \mathrm{~m} / \mathrm{s}$
  • C
    $5 \mathrm{~m} / \mathrm{s}$
  • D
    $10 \mathrm{~m} / \mathrm{s}$

Solution

Given, $g=10 \mathrm{~ms}^{-2}$ and $h=20 \mathrm{~m}$ We have $$ \begin{aligned} V & =\sqrt{2 g h} \\ & =\sqrt{2 \times 10 \times 20}=\sqrt{400}=20 \mathrm{~ms}^{-1} \end{aligned} $$

Hence, the correct answer is option: 'A'.

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