હાઇડ્રોજન પરમાણુ માટે \(3\)\( \to \)\(2 \) સંક્રાંતિને અનુરૂપ વિકિરણ ધાતુ સપાટી પર પડતા ફોટોઇલેકટ્રોન ઉત્પન્ન કરે છે.આ ઇલેકટ્રોનને \(3 \times 10^{-4}\) \(T\) વાળા ચુંબકીયક્ષેત્રમાં દાખલ કરવામાં આવે છે.જો ઇલેકટ્રોનનાં સોૈથી મોટો વર્તુળામાર્ગની ત્રિજયા \(10.0\) \(mm\) હોય,તો ધાતુનું વર્ક ફંકશન _____\( eV\) ને નજીક થશે.

A \(1.1\)
B \(0.8\)
C \(1.6 \)
D \(1.8\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(1.1\)

Step-by-step Solution

Detailed explanation

Radius of circular path followed by electron is given by, \(r=\frac{m v}{q B}=\frac{\sqrt{2 m e V}}{e B}=\frac{1}{B} \sqrt{\frac{2 m}{e} V}\) \(\Rightarrow \quad V=\frac{B^{2} r^{2} e}{2 m}=0.8 \mathrm{V}\) For transition between \(3\) to \(2\) .…

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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