સ્થિર સ્થિતિમાં રહેલ એક વસ્તુ \(20\,mW\) પાવર (કાર્યત્વારા) ધરાવતા અને \(300\,ns\) સમયગાળો ધરાવતા પ્રકાશ સ્પંદનનું શોષણ કરે છે.પ્રકાશની ઝડપ \(3 \times 10^8\,m/s\) ધારતાં વસ્તુનું વેગમાન \(........\times 10^{-17} kg\,m / s\) ને બરાબર થશે.

A \(0.5\)
B \(2\)
C \(3\)
D \(1\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(2\)

Step-by-step Solution

Detailed explanation

Momentum \(=\frac{\text { Energy }}{ C }\) \(=\frac{\text { Power } \times \text { time }}{ C }\) \(=\frac{\left(20 \times 10^{-3} w \right)\left(300 \times 10^{-9}\,s \right)}{3 \times 10^8 m / s }\) \(=2 \times 10^{-17}\,kg - m / s\)

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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