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Exponential relationships and log graphs: OCR A‑Level Physics B questions

OCR A-Level Physics B past-paper questions on 5.1.1.4 Exponential relationships and log graphs, 2016–2025, with mark schemes and examiner’s reports where available.

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  2. Q37(a)(iii)

    June 2023 · Paper 1

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  9. Q9(b)(i)

    November 2021 · Paper 2

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  10. Q9(b)(ii)

    November 2021 · Paper 2

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  13. Q3(c)(i)

    June 2019 · Paper 2

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  14. Q3(c)(ii)

    June 2019 · Paper 2

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  15. Q2(b)(ii)

    June 2018 · Paper 3

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All 16 questions on Exponential relationships and log graphs, as a list
  1. June 2024, Paper 1, Q39(c)(ii) (6 marks): (ii)* Another student starts to plot a graph of ln (I) against time. time / s 40 0 20 60 80 100 120 140 160 –27.8 –28.0 –28.2 –28.4 –28.6 –28.8 ln (I/A) –29.0 –
  2. June 2023, Paper 1, Q37(a)(iii) (3 marks): The student places transparent sheets between the light source and the lux meter. The graph in Fig. 37.3 shows how the illuminance detected varies with the numb
  3. June 2023, Paper 1, Q37(b)(i) (3 marks): Describe how this apparatus can be used to gather data to determine the absorption coefficient of the absorbing material. [3]
  4. June 2023, Paper 1, Q37(b)(ii) (2 marks): The intensity of a gamma-ray beam is reduced to 15% of its original value after passing through 3.2 cm of lead. Calculate the absorption coefficient of the lead
  5. June 2023, Paper 3, Q3(b)(i) (3 marks): Capacitor discharge is an example of exponential decay and follows the equation –t V = V0e RC. Complete the ln V column in Table 3 and then perform a mathematic
  6. June 2023, Paper 3, Q4(b)(iii) (6 marks): This question is about inducing an emf in a coil of wire. Fig. 4.1 shows a coil of wire perpendicular to a uniform magnetic field. Fig. 4.1 0.020 m 0.020 m (iii
  7. June 2022, Paper 3, Q3(c)(ii) (4 marks): Fig. 3.2 shows a graph of ln(count rate) against t from this experiment. Use the graph to find a value for the decay constant for protactinium‑234 and hence the
  8. November 2021, Paper 2, Q9(a)(ii) (3 marks): A pulse emitted by the bat returns after reflection from a small object at a distance of 2.4 m. Calculate the change in power in decibels (dB) of the pulse from
  9. November 2021, Paper 2, Q9(b)(i) (2 marks): Ignoring the effects of spreading, the power of a sound wave of frequency 100 kHz falls to 93% of its original value after travelling 0.1 m. Show that the atten
  10. November 2021, Paper 2, Q9(b)(ii) (4 marks): By considering only the effects of spreading and attenuation calculate the difference in power in decibels between the transmitted pulse and detected echo when
  11. November 2021, Paper 3, Q4(c)(i) (6 marks): The student gathers the following data. Shielding Corrected count rate Count rate / s–1 thickness, / s–1 x / cm 0 1250 1240 1 915 905 2 636 626 3 475 465 4 353
  12. November 2021, Paper 3, Q4(c)(ii) (4 marks): Using the equation I = I0 e–μx, and the information in Fig. 4.4, determine the value of the attenuation coefficient, μ. attenuation coefficient = unit [4] 17 8
  13. June 2019, Paper 2, Q3(c)(i) (4 marks): Explain what the student means by ‘decreases exponentially’ and, using ideas from part (b), explain whether you would expect the speed of the disk to decrease i
  14. June 2019, Paper 2, Q3(c)(ii) (3 marks): Use data from the graph to test whether there is an exponential decrease in speed over time. Make your conclusion clear. [3]
  15. June 2018, Paper 3, Q2(b)(ii) (1 mark): Complete the fourth column of the table by calculating the missing values for ln (A / Bq). [1]
  16. June 2018, Paper 3, Q2(b)(iv) (6 marks): An experiment is carried out to find the half-life of a solid radioactive isotope X which emits beta radiation. (iv)* Use your graph to find the value of half-l

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