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Electromagnetic radiation and quantum phenomena

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Question 20

A beam of monochromatic light of frequency f f\,f is incident on a metal surface with work function Φ\PhiΦ, where hf>Φhf > \Phihf>Φ. This causes photoelectrons to be emitted at a rate RRR (number of photoelectrons emitted per second). The maximum kinetic energy of the emitted photoelectrons is EkE_kEk​.

The frequency of the incident light is increased to 1.5f 1.5f\,1.5f while the total power of the beam is kept constant.

Assuming the quantum efficiency (the ratio of emitted photoelectrons to incident photons) remains constant, which of the following correctly describes the new maximum kinetic energy Ek′ E'_k\,Ek′​ and the new rate of photoelectron emission R′R'R′?

A

Ek′>1.5EkE'_k > 1.5E_kEk′​>1.5Ek​ and R′=23RR' = \frac{2}{3}RR′=32​R

B

Ek′=1.5EkE'_k = 1.5E_kEk′​=1.5Ek​ and R′=23RR' = \frac{2}{3}RR′=32​R

C

Ek′>1.5EkE'_k > 1.5E_kEk′​>1.5Ek​ and R′=1.5RR' = 1.5RR′=1.5R

D

Ek′=1.5EkE'_k = 1.5E_kEk′​=1.5Ek​ and R′=1.5RR' = 1.5RR′=1.5R

Markscheme

Electromagnetic radiation and quantum phenomena Questions

  1. A Level
  2. /Physics
  3. /Electromagnetic radiation and quantum phenomena

31 exam-style questions on AQA A Level Physics Electromagnetic radiation and quantum phenomena, covering The photoelectric effect, Collisions of electrons with atoms, Energy levels and photon emission, and Wave-particle duality. Each one has a worked solution and a mark scheme showing where the marks go.

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