\(110 \times 10^{-20} J\) કાર્યવિધેય ધરાવતી ધાતુની પ્લેટ પર પ્રકાશ આપાત કરવામાં આવે છે. જો ઉત્પન્ન થતા ફોટોઈલેક્ટ્રોન્સની ગતિઊર્જા શૂન્ય હોય, તો આપાત પ્રકાશની કોણીય આવૃત્તિ ________ રેડિયન/સેકન્ડ છે.\(\left( h =6.63 \times 10^{-34} J . s \right)\).

A \( 1.04\times10^{16} \)
B \( 1.04\times10^{13} \)
C \( 1.66\times10^{16} \)
D \( 1.66\times10^{15} \)

Verified Solution

Answer & Solution

Correct Answer

(A) \( 1.04\times10^{16} \)

Step-by-step Solution

Detailed explanation

\( \phi=h\nu \) \( \nu=\frac{\phi}{h} \) \( \omega=2\pi \nu=\frac{2\pi\phi}{h}=\frac{2\times3.14\times110\times10^{-20}}{6.63\times10^{-34}} \) \( \omega=1.04\times10^{16}\,rad/sec \)

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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