Physics · OCR H556 · Topic 4.5

Quantum physics

Photons, the photoelectric effect, wave-particle duality.

  • 3 sub-topics
  • Taught in Year 12
  • 35 practice questions
  • 3 animated lessons

What the specification says

Every sub-topic OCR can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. 4.5.1PhotonsY12
  2. 4.5.2The photoelectric effectY12
  3. 4.5.3Wave-particle dualityY12

Try 2 questions

Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 35 questions in this topic, free, no account needed.

Waves and the particle nature of light

Easy

Photon energy · Year 12 · 4 marks

Electromagnetic radiation has wavelength 4.0×10−74.0 \times 10^{-7} m.
  1. (a)
    Calculate the energy of one photon in joules and in electronvolts.
    (3)
  2. (b)
    A source emits 2.0 mW of this radiation. Calculate the number of photons emitted per second.
    (1)

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Part (a)3 marks

  1. E=hcλE = \frac{hc}{\lambda}
  2. EE=4.97×10−19 J{}= 4.97 \times 10^{-19}\ \mathrm{J}
  3. E=3.11 eVE = 3.11\ \mathrm{eV}

Part (b)1 mark

  1. NN=4.02×1015 s−1{}= 4.02 \times 10^{15}\ \mathrm{s^{-1}}

Total4

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
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Waves and the particle nature of light

Medium

The de Broglie wavelength · Year 12 · 4 marks

Electrons are accelerated from rest through a p.d. of 500 V.
  1. (a)
    Calculate the momentum of an electron.
    (2)
  2. (b)
    Calculate its de Broglie wavelength.
    (2)

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Part (a)2 marks

  1. 12mv2\tfrac{1}{2}mv^2=eV{}= eV⇒p{}\Rightarrow p=2meV{}= \sqrt{2meV}
  2. pp=1.21×10−23 kg m s−1{}= 1.21 \times 10^{-23}\ \mathrm{kg\,m\,s^{-1}}

Part (b)2 marks

  1. λ=hp\lambda = \frac{h}{p}
  2. λ\lambda=5.49×10−11 m{}= 5.49 \times 10^{-11}\ \mathrm{m}

Total4

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
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