ધાતુની સપાટી \(500\, {~nm}\) કિરણોત્સર્ગના સંપર્કમાં આવે છે. ફોટોઇલેક્ટ્રિક પ્રવાહ માટે ધાતુની થ્રેશોલ્ડ આવૃતી \(4.3 \times 10^{14}\, {~Hz}\) છે. બહાર કાઢેલા ઇલેક્ટ્રોનનો વેગ \(.......\,\times 10^{5} {~ms}^{-1}\) (નજીકના પૂર્ણાંકમાં) છે. [ઉપયોગ: \(\left.{h}=6.63 \times 10^{-34}\, {Js}, {m}_{{e}}=9.0 \times 10^{-31}\, {~kg}\right]\)

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.