The photoelectric threshold wavelength of silver is \(3250 \times 10^{-10} m\) . The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength \(2536 \times 10^{-10} m\) is (Given \( h= 4.14 \times 10^{-15} eV s\) and \(c = 3 \times 10^8 \,m s^{-1}\))

A \(6 \times 10^5 m/s\)
B \(6 \times 10^3 m/s\)
C \(3 \times 10^5 m/s\)
D \(8 \times 10^5 m/s\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(6 \times 10^5 m/s\)

Step-by-step Solution

Detailed explanation

The maximum kinetic energy is given as \({K_{\max }} = hv - {\phi _0} = \) \(hv - h{v_o} = \frac{{hc}}{\lambda } - \frac{{hc}}{{{\lambda _0}}}\)

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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Match List-I with List-II.

\(\text{List-I (Mixture)}\)	\(\text{List-II (Method of Separation)}\)
\(\text{A.}\) \(\text{CHCl}_{3}+\text C_{6}\text H_{5}\text{NH}_{2}\)	I. Distillation under reduced pressure
B. Crude oil in petroleum industry	II. Steam distillation
C. Glycerol from spent-lye	III. Fractional distillation
D. Aniline-water	IV. Simple distillation

Choose the correct answer from the options given below :-

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