Medium MCQ +4 / -1 PYQ · JEE Mains 2022

Let K1 and K2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength $\lambda$1 and $\lambda$2, respectively are incident on a metallic surface. If $\lambda$1 = 3$\lambda$2 then :

  1. A ${K_1} > {{{K_2}} \over 3}$
  2. B ${K_1} < {{{K_2}} \over 3}$ Correct answer
  3. C ${K_1} = {{{K_2}} \over 3}$
  4. D ${K_2} = {{{K_1}} \over 3}$

Solution

<p>$${K_1} = {{hc} \over {{\lambda _1}}} - \phi = {{hc} \over {3{\lambda _2}}} - \phi $$ ..... (i)</p> <p>and ${K_2} = {{hc} \over {{\lambda _2}}} - \phi$ ..... (ii)</p> <p>from (i) and (ii) we can say</p> <p>$3{K_1} = {K_2} - 2\phi$</p> <p>${K_1} < {{{K_2}} \over 3}$</p>

About this question

Subject: Physics · Chapter: Dual Nature of Matter and Radiation · Topic: Photoelectric Effect

This question is part of PrepWiser's free JEE Main question bank. 145 more solved questions on Dual Nature of Matter and Radiation are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →