\(1\, m^2\) ક્ષેત્રફળ ધરાવતી સપાટી પર \(10^{-26}\, kg\) દળ ધરાવતા \(10^{22}\) વાયુના અણુંઓ દર સેકંડે \(10^4\,m/s\) ઝડપથી અથડાતાં હોય તો તેના દ્વારા સપાટી પર કેટલું દબાણ ઉત્પન્ન થશે?

A \({10^8}\,\frac{N}{{{m^2}}}\)
B \({10^3}\,\frac{N}{{{m^2}}}\)
C \({10^4}\,\frac{N}{{{m^2}}}\)
D એક પણ નહીં

Verified Solution

Answer & Solution

Correct Answer

(D) એક પણ નહીં

Step-by-step Solution

Detailed explanation

Pressure is defined as normal force per unit area. Force is calculated as change in \( momentum/time.\) By this answer is \(2 \mathrm{N} / \mathrm{m}^{2}\) None of the option matches so this question must be Bonus. Detailed solution is as following:…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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