\(36\,cm ^2\) ક્ષેત્રફળ ધરાવતી સપાટી ઉપર સૂર્યપ્રકાશ લંબરૂપે આપાત થાય છે અને \(20\) મીનીટના સમયગાળામાં \(7.2 \times 10^{-9}\,N\) જેટલું સરેરાશ બળ લગાડે છે. આપાત પ્રકાશનું સંપૂર્ણ શોષણ થાય છે તેમ ધારતાં, આપાત પ્રકાશનું ઊર્જા ફ્લક્સ \(............\) થશે.

A \(25.92 \times 10^{2}\,W / cm ^{2}\)
B \(8.64 \times 10^{-6}\,W / cm ^{2}\)
C \(6.0\,W / cm ^{2}\)
D \(0.06\,W / cm ^{2}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(0.06\,W / cm ^{2}\)

Step-by-step Solution

Detailed explanation

\(\frac{I}{C} \times\) area \(=\) force \(\frac{I}{C} \times 36 \times 10^{-4}=7.2 \times 10^{-9}\) \(I =\frac{7.2 \times 10^{-9} \times 3 \times 10^{8}}{36 \times 10^{-9} \times 10}\) \(=\frac{6 \times 10^{-1}}{10^{-3}}\) \(I =6 \times 10^{2} \frac{ w }{ m ^{2}}\)…

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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