NUMS — Medical & Dental Entry Test

NUMS Physics — Electronics, Modern and Nuclear Physics (Set 2)

Take the NUMS Physics — Electronics, Modern and Nuclear Physics (Set 2): 30 multiple-choice questions (40 minutes) with instant scoring and a full answer…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. Which statement about a pure (intrinsic) semiconductor such as silicon is correct?

    • A. Its resistance increases as it is heated
    • B. It has equal numbers of free electrons and holes, and its conductivity rises with temperature ✓
    • C. It has more holes than electrons at all temperatures
    • D. It conducts only when doped with a metal

    Answer: B. It has equal numbers of free electrons and holes, and its conductivity rises with temperature

    Explanation: In intrinsic material each thermally broken bond releases one electron and leaves one hole; heating creates more pairs, so conductivity increases.

  2. Q2. A silicon diode does not conduct appreciably in forward bias until the applied voltage exceeds about:

    • A. 0.07 V
    • B. 0.7 V ✓
    • C. 0.3 V
    • D. 7 V

    Answer: B. 0.7 V

    Explanation: The potential barrier of a silicon p–n junction is about 0.7 V (about 0.3 V for germanium); forward current rises sharply above this.

  3. Q3. A p–n junction diode is reverse biased below its breakdown voltage. Why does a very small current still flow?

    • A. Majority carriers cross the narrowed depletion layer
    • B. Minority charge carriers are swept across the junction ✓
    • C. Electrons tunnel through the metal contacts
    • D. The depletion region disappears

    Answer: B. Minority charge carriers are swept across the junction

    Explanation: Reverse bias widens the depletion layer and stops majority carriers, but thermally generated minority carriers are pushed across by the field, giving a tiny leakage current.

  4. Q4. A full-wave rectifier is fed from the 50 Hz mains. What is the frequency of the ripple in its output?

    • A. 25 Hz
    • B. 50 Hz
    • C. 200 Hz
    • D. 100 Hz ✓

    Answer: D. 100 Hz

    Explanation: A full-wave rectifier produces one output pulse for each half-cycle of the input, giving 2 × 50 = 100 pulses per second.

  5. Q5. A light-emitting diode is made from a semiconductor with a band gap of 2.0 eV. What is the approximate wavelength of the light it emits? (hc = 1240 eV nm)

    • A. 2480 nm
    • B. 620 nm ✓
    • C. 1240 nm
    • D. 310 nm

    Answer: B. 620 nm

    Explanation: Photon energy ≈ band gap, so λ = hc/E = 1240/2.0 = 620 nm (red–orange light).

The other 25 questions

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  1. Q6. In a transistor, the base current is 50 μA and the current gain β is 100. What is the emitter current?

    • A. 5.05 mA
    • B. 4.95 mA
    • C. 5.00 mA
    • D. 0.50 mA
  2. Q7. When a transistor is used as an electronic switch, between which two states is it operated?

    • A. Active region only
    • B. Zener and avalanche regions
    • C. Forward and reverse breakdown
    • D. Cut-off and saturation
  3. Q8. A non-inverting op-amp amplifier uses a feedback resistor of 90 kΩ and a resistor of 10 kΩ from the inverting input to ground. What is its voltage gain?

    • A. +10
    • B. −10
    • C. −9
    • D. +9
  4. Q9. A two-input NOR gate gives an output of 1 for which input combination?

    • A. A = 0, B = 1
    • B. A = 0, B = 0
    • C. A = 1, B = 1
    • D. A = 1, B = 0
  5. Q10. Which Boolean expression simplifies to A?

    • A. A·B̄ + B
    • B. A + B
    • C. A + A·B
    • D. A·B
  6. Q11. A metal has a work function of 2.48 eV. What is its threshold wavelength for photoelectric emission? (hc = 1240 eV nm)

    • A. 500 nm
    • B. 250 nm
    • C. 620 nm
    • D. 1000 nm
  7. Q12. A graph of stopping potential against frequency of incident light is plotted for a photocell. What does its slope equal?

    • A. Work function/e
    • B. e/h
    • C. h/e
    • D. Threshold frequency
  8. Q13. A diagnostic X-ray photon has a wavelength of 0.10 nm. What momentum does it carry? (h = 6.63 × 10⁻³⁴ J s)

    • A. 6.6 × 10⁻²⁴ kg m s⁻¹
    • B. 2.0 × 10⁻¹⁵ kg m s⁻¹
    • C. 6.6 × 10⁻³³ kg m s⁻¹
    • D. 6.6 × 10⁻¹⁴ kg m s⁻¹
  9. Q14. A proton and an alpha particle (mass 4mₚ, charge 2e) are each accelerated from rest through the same potential difference. What is the ratio of their de Broglie wavelengths, λₚ : λα?

    • A. 4 : 1
    • B. 2√2 : 1
    • C. 2 : 1
    • D. 1 : 2√2
  10. Q15. In Compton scattering, at what scattering angle is the increase in X-ray wavelength the greatest?

    • A. 45°
    • B. 90°
    • C. 0°
    • D. 180°
  11. Q16. In PET scanning, a positron emitted by a tracer meets an electron and both are annihilated. What is produced?

    • A. One gamma photon of 0.51 MeV
    • B. An alpha particle
    • C. Two gamma photons of about 0.51 MeV each, moving in opposite directions
    • D. A neutron and a neutrino
  12. Q17. The X-ray spectrum from a tube shows sharp peaks on top of a continuous background. What produces these sharp characteristic lines?

    • A. Nuclear decay of the target metal
    • B. Electrons in the target atoms falling into vacancies in inner shells
    • C. Heating of the target to a high temperature
    • D. Deceleration of electrons by target nuclei
  13. Q18. A rod 10 m long in its own rest frame moves past an observer at 0.8c along its length. What length does the observer measure?

    • A. 10 m
    • B. 8 m
    • C. 6 m
    • D. 16.7 m
  14. Q19. In a nuclear reaction the total rest mass of the products is 2.0 mg less than that of the reactants. How much energy is released? (c = 3.0 × 10⁸ m s⁻¹)

    • A. 1.8 × 10¹⁴ J
    • B. 1.8 × 10⁸ J
    • C. 1.8 × 10¹¹ J
    • D. 6.0 × 10² J
  15. Q20. According to Wien's displacement law, if the absolute temperature of a black body is doubled, what happens to the wavelength at which its emission peaks?

    • A. It becomes one sixteenth
    • B. It doubles
    • C. It halves
    • D. It is unchanged
  16. Q21. Laser action requires a metastable state. What is special about such an energy level?

    • A. Electrons stay in it much longer than in ordinary excited states
    • B. It emits light only by spontaneous emission
    • C. It lies below the ground state
    • D. Electrons cannot enter it
  17. Q22. How many neutrons are present in a nucleus of uranium-235 (Z = 92)?

    • A. 235
    • B. 327
    • C. 143
    • D. 92
  18. Q23. The mass defect of a helium-4 nucleus is 0.0304 u. What is its binding energy per nucleon? (1 u ≡ 931.5 MeV)

    • A. 28.3 MeV
    • B. 14.2 MeV
    • C. 7.08 MeV
    • D. 0.0076 MeV
  19. Q24. Fluorine-18, a PET tracer, decays by positron (β⁺) emission. What happens to the atomic number and mass number of the nucleus?

    • A. Z decreases by 2; A decreases by 4
    • B. Both Z and A are unchanged
    • C. Z decreases by 1; A is unchanged
    • D. Z increases by 1; A is unchanged
  20. Q25. A nucleus emits a gamma ray. What change occurs in its atomic number and mass number?

    • A. A decreases by 4
    • B. Z increases by 1
    • C. Neither changes; the nucleus only loses energy
    • D. Z decreases by 1 and A is unchanged
  21. Q26. An archaeological bone contains 25% of the carbon-14 found in living bone. How old is it? (half-life of ¹⁴C = 5730 years)

    • A. 11 460 years
    • B. 5730 years
    • C. 22 920 years
    • D. 17 190 years
  22. Q27. Roughly how much energy is released when one uranium-235 nucleus undergoes fission?

    • A. About 200 MeV
    • B. About 20 keV
    • C. About 2 MeV
    • D. About 2000 MeV
  23. Q28. A tissue receives an absorbed dose of 0.1 Gy of alpha radiation, whose radiation weighting (quality) factor is 20. What is the equivalent dose?

    • A. 2 Sv
    • B. 20 Sv
    • C. 0.005 Sv
    • D. 0.1 Sv
  24. Q29. A radiographer moves from 1 m to 2 m away from a small gamma source. Ignoring absorption in air, by what factor does the intensity she receives change?

    • A. It falls to one half
    • B. It is unchanged
    • C. It falls to one eighth
    • D. It falls to one quarter
  25. Q30. What is the role of cadmium or boron control rods in a nuclear reactor?

    • A. They absorb neutrons to control the rate of the chain reaction
    • B. They slow down fast neutrons
    • C. They emit neutrons to start fission
    • D. They transfer heat to the turbines