Dual Nature Of Radiation And Matter Mock Test – Class 12 Physics
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Dual Nature of Radiation and Matter Mock Test – Class 12 Physics

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Dual Nature of Radiation and Matter – Progressive Test

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1. Use the arrangement described below.

Inside an evacuated glass tube, a photosensitive plate is illuminated by monochromatic light. Another plate is connected to a variable potential source and an ammeter is placed in the external circuit.

In this arrangement, plate is mainly used to

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2. Assertion: Saturation current in the photoelectric effect depends on the intensity of incident radiation when the frequency is above threshold.
Reason: At saturation, the current is limited by the number of photoelectrons emitted per second.

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3. From a photoelectric surface of work function , light ejects fastest electrons that are then treated using de Broglie wavelength. Taking , , , and , the de Broglie wavelength of the fastest photoelectrons is closest to

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4. In electron emission from a metal, the term “surface phenomenon” is most appropriate because

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5. A quantity has the unit . In dual-nature calculations, it is most naturally identified as

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6. A table from a photoelectric current experiment is shown below.

Collector condition Effect on photoelectrons Current behaviour
P. Positive collector Attracts photoelectrons Current increases toward saturation
Q. Sufficiently high positive collector Collects nearly all emitted electrons Saturation current
R. Negative collector Retards photoelectrons Current decreases
S. Sufficiently negative collector Stops even fastest photoelectrons Current becomes zero

Which assessment is appropriate?

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7. For fixed frequency above threshold, the graph between saturation current and light intensity is expected to be

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8. A summary table is shown below.

Phenomenon Main relation or idea Nature highlighted
P. Photoelectric effect Photon energy Particle nature of radiation
Q. Electron diffraction de Broglie wavelength Wave nature of matter
R. Electron microscope Short electron wavelength Application of matter waves
S. Intensity below threshold Always emits after long time Classical wave success

The row that does not fit the conclusions about dual nature is

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9. For a threshold wavelength of , light of wavelength falls on the metal. Using , the maximum kinetic energy is closest to

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10. A data table for two above-threshold beams falling on the same metal area is shown below.

Beam Intensity Photon energy Photon rate trend
P
Q
R

The missing photon rates for and are respectively

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11. For electromagnetic radiation in vacuum, the graph of photon energy against wavelength should show that

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12. For radiation of fixed frequency , increasing the intensity mainly means that

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13. The same photoelectric surface is illuminated first by radiation of frequency and then by radiation of frequency . If , the increase in stopping potential is closest to

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14. An electron needs to just escape from a metal surface. Express this minimum escape energy in . Use .

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15. An electron and a proton have the same speed , while another electron has speed . Which arrangement of de Broglie wavelengths is correct?

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16. Which quantity represents the energy gained by a charge when it moves through a potential difference ?

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17. Heisenberg’s uncertainty idea is connected with wave-particle duality because a microscopic particle described by a wave packet cannot generally have

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18. The SI unit of Planck’s constant can be written as

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19. The work function of a metal is . If , the threshold frequency is

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20. A comparison of frequency effects is shown below.

Change made for the same metal Effect on Effect on
P. Frequency increased above Increases Increases
Q. Frequency reduced to exactly Becomes Becomes
R. Frequency reduced below No photoemission No stopping potential measured

The assessment of the table is

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21. Under above-threshold illumination, a photoelectric tube gives at a high positive collector potential, and no further increase is observed when the potential is raised. The number of photoelectrons emitted per second is approximately

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22. Two metals have threshold wavelengths and . Their work functions satisfy

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23. In a Davisson-Germer type setup, a detector peak shifts to a smaller Bragg angle when the accelerating voltage is increased. The shift is consistent with

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24. Given work function and stopping potential for the incident radiation, the photon energy is

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25. The negative-side potential-axis intercept of a photoelectric current-potential graph for fixed above-threshold frequency gives

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26. The pair of observations that most directly shows the two complementary halves of dual nature is

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27. Two particles have the same kinetic energy , but particle has mass and particle has mass . Their non-relativistic de Broglie wavelengths satisfy

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28. For a metal of work function illuminated by light, use . The stopping potential is closest to

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29. Match the electron-emission type with its immediate physical cause.

Emission type Immediate cause
P. Thermionic emission 1. Energetic particle impact on a surface
Q. Photoelectric emission 2. Strong heating of the surface
R. Field emission 3. Suitable electromagnetic radiation
S. Secondary emission 4. Very strong electric field at the surface

The correct matching is

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30. For a photon of wavelength , taking , its momentum is approximately

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31. In an arrangement, a metal plate is connected to an external circuit in vacuum and illuminated by suitable radiation. Electrons leave the illuminated surface and move toward a collecting electrode. The emitted electrons are called

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32. A positively charged metal plate in a simple Hallwachs observation does not show the same discharge when ultraviolet light falls on it. The most suitable reason is that

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33. A photon has wavelength . An electron also has de Broglie wavelength . The photon energy is , while the electron kinetic energy is much smaller. The main reason is that

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34. When a photon falls on a metal surface of work function , the photoelectric response is

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35. Photoelectrons in a retarding-potential arrangement have kinetic energies up to . A retarding potential of magnitude is applied. What is the expected result?

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36. A particle’s de Broglie wavelength is . Its momentum, using , is

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37. When an electron beam is accelerated through a larger potential difference before striking a crystal, the diffraction pattern changes mainly because the electrons

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38. Assertion: Photoelectric emission starts nearly instantaneously when suitable radiation falls on a metal surface.
Reason: In the photon picture, a single photon can transfer its energy as a whole to one electron.

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39. The de Broglie wavelength of a particle of momentum is

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40. A record of four surface-emission cases is shown below.

Case Observation Named process
P Electron emission after heating a metal filament Thermionic emission
Q Electron emission after ultraviolet light falls on zinc Photoelectric emission
R Electron emission due to a strong surface electric field Secondary emission
S Electron emission after fast particles hit a surface Secondary emission

Which case contains the mismatched named process?

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41. For light of wavelength , a photoelectric experiment gives stopping potential . Using , the work function of the metal is closest to

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42. In electron diffraction, clear diffraction maxima are expected when the electron de Broglie wavelength is

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43. The graph description below is used.

For accelerated electrons, a plot of scattered intensity against angle shows a pronounced maximum. When the accelerating voltage is changed, the position of the maximum changes.

The most suitable reason for the shift of the maximum is that changing the voltage changes

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44. Electron diffraction by a crystal is strong evidence for matter waves because diffraction is normally a property of

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45. Match the observation or idea with the aspect it supports.

Column I Column II
P. Photoelectric emission by light 1. Wave nature of matter
Q. Diffraction of electrons by a crystal 2. Particle nature of radiation
R. Interference of light 3. Wave nature of radiation

The proper matching is

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46. A statement says, “Doubling the intensity of above-threshold light doubles the stopping potential.” The most accurate correction is that doubling intensity

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47. Use the situation below.

A photon and a non-relativistic electron are assigned the same wavelength . The photon energy is calculated using . The electron momentum is calculated using , and its kinetic energy is then calculated using .

What is the strongest reason for using two different energy routes?

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48. A compact graph record gives the following results for a photoelectric surface: the - line cuts the frequency axis at , and at the stopping potential is . The work function and are respectively

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49. A light beam of fixed intensity is changed from frequency to frequency , and the illuminated area remains the same. The photon arrival rate becomes

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50. When a photon falls on a metal of work function , Einstein’s equation implies

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