The mass of a hydrogen molecule

Question:

The mass of a hydrogen molecule is $3.32 \times 10^{-27} \mathrm{~kg}$. If $10^{23}$ hydrogen molecules strike, per second, a fixed wall of area $2 \mathrm{~cm}^{2}$ at an angle of $45^{\circ}$ to the normal, and rebound elastically with a speed of $10^{3} \mathrm{~m} / \mathrm{s}$, then the pressure on the wall is nearly :

  1. $4.70 \times 10^{3} \mathrm{~N} / \mathrm{m}^{2}$

  2. $2.35 \times 10^{2} \mathrm{~N} / \mathrm{m}^{2}$

  3. $4.70 \times 10^{2} \mathrm{~N} / \mathrm{m}^{2}$

  4. $2.35 \times 10^{3} \mathrm{~N} / \mathrm{m}^{2}$

Correct Option: , 4

Solution:

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