Physics · Dual nature of radiation and matter · chapter 11 of 14

Class 12 Physics Chapter 11: Dual Nature of Radiation and Matter MCQs with answers

10 multiple-choice questions on Dual Nature of Radiation and Matter, each with its answer and the reason, written from the NCERT chapter. For the CBSE board, JEE Main and NEET, which are set from the same NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter.

Question 1
The dimensional formula of Planck's constant h is
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Answer: (c) [ML²T⁻¹]

From E = hν, h = E/ν has the dimensions [ML²T⁻²]/[T⁻¹] = [ML²T⁻¹]. [ML²T⁻²] is energy (the work function); [MLT⁻¹] is linear momentum; [ML²T⁻³A⁻¹] is potential (the stopping potential).

Question 2
In a photoelectric experiment the frequency of the light falling on the emitter is kept fixed, above the threshold, and its intensity is made three times as large. Then
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Answer: (b) the saturation current becomes three times as large and the stopping potential is unchanged

At a given frequency the saturation current is proportional to intensity, since the number of electrons emitted per second is; the stopping potential depends on the frequency and the emitter, not on intensity.

Question 3
The light on a photosensitive surface is changed to one of higher frequency, its intensity kept the same. Compared with before,
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Answer: (d) the stopping potential is larger in magnitude and the saturation current is the same

At the same intensity, curves for different frequencies reach the same saturation current, but the stopping potential is more negative for the higher frequency: the greater the frequency, the greater Kmax and hence V₀.

Question 4
Light of frequency above the threshold, but of very low intensity, falls on a clean metal surface. Photoelectric emission begins
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Answer: (a) within about 10⁻⁹ s or less

Above the threshold frequency emission starts without apparent time lag even for very dim radiation, in a time of the order of 10⁻⁹ s or less. A delay that grows as the intensity falls is what the wave picture predicts, and is not observed.

Question 5
Very intense light of frequency below the threshold frequency of a metal falls on it for a long time. The photoelectrons emitted
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Answer: (b) are none at all

Emission needs hν > φ₀, that is ν > ν₀. Below ν₀ no electron is emitted, however intense the radiation or however long it falls, because each electron absorbs a single quantum, and one quantum is too small.

Question 6
In a spark plug, electrons are pulled out of a metal electrode by an electric field of the order of 10⁸ V m⁻¹. This process is called
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Answer: (d) field emission

Energy supplied by a very strong electric field, of the order of 10⁸ V m⁻¹, gives field emission. Thermionic emission needs heating; photoelectric emission needs light of suitable frequency.

Question 7
The momentum of a particle is doubled. Its de Broglie wavelength becomes
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Answer: (c) half as large

λ = h/p, so λ is inversely proportional to p: doubling p halves λ.

Question 8
Which statement about photons is not correct?
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Answer: (a) A photon is deflected by a magnetic field.

Photons are electrically neutral and are not deflected by electric or magnetic fields. The other three statements are photon properties: E = hν, speed c, and in a photon-particle collision the number of photons may not be conserved.

Question 9
In a photoelectric experiment the photocurrent falls to zero when the collector is at −V₀ relative to the emitter. This means that, at this potential,
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Answer: (d) even the electrons emitted with the maximum kinetic energy are turned back

Emitted electrons have a range of energies. The current is zero when the retarding potential repels even the most energetic of them, so Kmax = eV₀. Electrons are still being emitted; they just do not reach the collector.

Question 10
An uncharged zinc plate, mounted on an electroscope, is exposed to ultraviolet light. The plate
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Answer: (b) becomes positively charged

Ultraviolet light ejects negatively charged particles (electrons) from zinc, so an initially uncharged plate is left positively charged, as Hallwachs observed.

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