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The mass of hydrogen molecule is 3.32 × 10-27 . If 1023 hydrogen molecules strike per sound, a fixed wall of area 2 cm2 at an angle of 45° from normal and rebound back with the speed of 1000 m/sec, then the pressure exerted on the wall is

Option: 1

2.34 × 103 Pa


Option: 2

0.23 × 106 Pa


Option: 3

0.23 × 103 Pa


Option: 4

23.4 × 103 Pa


Answers (1)

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\begin{aligned} F & =\frac{\Delta P}{\Delta t}=(\mathrm{nm})(2 \nu \cos \theta) \\ P & =\frac{F}{A}=\frac{(\mathrm{nm})(2 \nu \cos \theta)}{A} \\ & =\frac{10^{23} \times 3.32 \times 10^{-27} \times 2 \times 1000 \times \cos 45\degree}{2 \times 10^{-4}} \\ & =2.34 \times 10^3 \mathrm{~N} / \mathrm{m}^2 \text { or } \mathrm{Pa} \end{aligned}

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avinash.dongre

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