Dual Nature of Radiation and Matter Flashcards

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1
Q

What experiments in the late 19th century established the wave nature of light and contributed to the understanding of electromagnetism?

A

Maxwell’s equations of electromagnetism and Hertz’s experiments on electromagnetic waves in 1887.

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2
Q

Who discovered X-rays, and in what year?

A

Roentgen discovered X-rays in 1895.

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3
Q

Who discovered electrons, and in what year?

A

J. J. Thomson discovered electrons in 1897.

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4
Q

What were the particles discovered by William Crookes in 1870, and what was his hypothesis about them?

A

Cathode rays; He suggested they consisted of streams of fast-moving negatively charged particles.

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5
Q

Who confirmed William Crookes’ hypothesis about cathode rays, and how did he experimentally determine the speed and specific charge of these particles?

A

J. J. Thomson confirmed the hypothesis. He applied mutually perpendicular electric and magnetic fields across the discharge tube.

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6
Q

What is the currently accepted value of the charge-to-mass ratio (e/m) of cathode ray particles?

A

1.76 × 10^11 C/kg.

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7
Q

What is the relationship between the charge on an oil droplet, as observed by Millikan, and the elementary charge?

A

The charge on an oil droplet was always an integral multiple of an elementary charge, 1.602 × 10^–19 C.

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8
Q

What did Millikan’s oil-drop experiment establish about electric charge?

A

It established that electric charge is quantized.

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9
Q

What fundamental constituents of matter did J. J. Thomson propose electrons to be, and when?

A

Electrons; he proposed this in 1897.

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10
Q

For what discovery was J. J. Thomson awarded the Nobel Prize in Physics, and in what year?

A

He was awarded the Nobel Prize in Physics in 1906 for his discovery of electrons through his theoretical and experimental investigations on the conduction of electricity by gases.

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11
Q

Who discovered the phenomenon of photoelectric emission?

A

Heinrich Hertz discovered the phenomenon of photoelectric emission during his electromagnetic wave experiments in 1887.

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12
Q

What did Heinrich Hertz observe during his experiments regarding the emitter plate and ultraviolet light?

A

Hertz observed that high voltage sparks across the detector loop were enhanced when the emitter plate was illuminated by ultraviolet light from an arc lamp.

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13
Q

How did Hertz describe the effect of light on the metal surface?

A

Hertz observed that light shining on the metal surface facilitated the escape of free, charged particles, now known as electrons.

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14
Q

What happens to electrons near the surface of a metal when light falls on it according to Hertz’s observations?

A

When light falls on a metal surface, some electrons near the surface absorb enough energy from the incident radiation to overcome the attraction of the positive ions in the material of the surface.

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15
Q

Who investigated the phenomenon of photoelectric emission in detail after Hertz?

A

Wilhelm Hallwachs and Philipp Lenard investigated the phenomenon of photoelectric emission in detail during 1886-1902.

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16
Q

What did Philipp Lenard observe when ultraviolet radiations were allowed to fall on the emitter plate of an evacuated glass tube enclosing two electrodes?

A

Lenard observed that when ultraviolet radiations were allowed to fall on the emitter plate of an evacuated glass tube enclosing two electrodes, current flows in the circuit. As soon as the ultraviolet radiations were stopped, the current flow also stopped.

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17
Q

What did Hallwachs observe when he connected a negatively charged zinc plate to an electroscope and illuminated it with ultraviolet light?

A

Hallwachs observed that the negatively charged zinc plate lost its charge when it was illuminated by ultraviolet light and became positively charged. Further, the positively charged zinc plate was found to be further enhanced when it was illuminated by ultraviolet light.

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18
Q

What happened when ultraviolet light fell on the emitter plate, according to Hallwachs and Lenard, regarding the emission of electrons?

A

Hallwachs and Lenard observed that when ultraviolet light fell on the emitter plate, no electrons were emitted at all when the frequency of the incident light was smaller than a certain minimum value, called the threshold frequency.

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19
Q

What metals responded only to ultraviolet light to cause electron emission from the surface, according to observations?

A

Metals like zinc, cadmium, magnesium, etc., responded only to ultraviolet light, having short wavelength, to cause electron emission from the surface.

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20
Q

Which metals were sensitive even to visible light regarding electron emission from their surfaces?

A

Alkali metals such as lithium, sodium, potassium, caesium, and rubidium were sensitive even to visible light regarding electron emission from their surfaces.

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21
Q

Describe the arrangement used for the experimental study of the photoelectric effect.

A

The setup consists of an evacuated glass/quartz tube with a photosensitive plate (emitter) C and a metal plate (collector) A. Monochromatic light from a source S passes through a window W, falling on the emitter C. An electric field between plates A and C, maintained by a battery, collects emitted electrons. The potential difference between A and C is adjustable.

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22
Q

What happens to the photocurrent when the intensity of incident light is varied?

A

Photocurrent increases linearly with intensity, directly proportional to the number of photoelectrons emitted per second.

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23
Q

How does the photoelectric current change with varying positive potential applied to the collector plate A?

A

Photoelectric current increases with positive potential until saturation, where all emitted electrons are collected. Negative potential decreases the current until a cutoff potential, where no electrons reach A.

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24
Q

How does the stopping potential vary with the frequency of incident radiation?

A

Stopping potential increases with higher frequencies, as shown in a linear relation. Higher frequencies result in greater maximum kinetic energy of emitted electrons.

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25
Q

What is the significance of the threshold frequency in photoelectric emission?

A

Below the threshold frequency, no photoelectric emission occurs, regardless of intensity. Different materials have different threshold frequencies and sensitivities to incident light.

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26
Q

What are the key experimental findings of the photoelectric effect?

A
  • Photoelectric current is proportional to incident light intensity.
  • Saturation current is intensity-dependent, while stopping potential is not.
  • There exists a threshold frequency below which no emission occurs.
  • Emission is instantaneous, occurring without time lag even with dim light.
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27
Q

What phenomena of light were explained by the wave picture of light?

A

The phenomena of interference, diffraction, and polarization were explained by the wave picture of light.

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28
Q

How is light described according to the wave picture?

A

Light is described as an electromagnetic wave consisting of electric and magnetic fields with continuous distribution of energy over the region of space over which the wave is extended.

29
Q

What is the expectation regarding the relationship between the intensity of radiation and the energy absorbed by electrons according to the wave picture?

A

The expectation is that the greater the intensity of radiation, the greater should be the energy absorbed by each electron.

30
Q

How does the wave picture explain the maximum kinetic energy of photoelectrons on the surface of a metal?

A

According to the wave picture, the maximum kinetic energy of photoelectrons on the surface of a metal is expected to increase with an increase in intensity of radiation.

31
Q

What is the expectation regarding the existence of a threshold frequency according to the wave theory?

A

According to the wave theory, a threshold frequency should not exist. Any sufficiently intense beam of radiation should be able to impart enough energy to the electrons, regardless of the frequency, so that they exceed the minimum energy needed to escape from the metal surface.

32
Q

What contradiction arises between the expectations of the wave theory and the observations of photoelectric emission?

A

The expectations of the wave theory directly contradict observations (i), (ii), and (iii) given at the end of subsection 11.4.3 regarding photoelectric emission.

33
Q

How does the wave theory explain the absorption of energy by electrons?

A

In the wave theory, the absorption of energy by electrons takes place continuously over the entire wavefront of the radiation.

34
Q

What conclusion can be drawn regarding the time it takes for a single electron to pick up sufficient energy to overcome the work function and come out of the metal, according to the wave theory?

A

Explicit calculations estimate that it can take hours or more for a single electron to pick up sufficient energy to overcome the work function and come out of the metal, which is in striking contrast to the observation that photoelectric emission is instantaneous.

35
Q

Who proposed the new theory of electromagnetic radiation to explain the photoelectric effect in 1905?

A

Albert Einstein proposed the theory.

36
Q

How did Einstein describe the nature of radiation energy in his theory?

A

Radiation energy is composed of discrete units known as quanta, with each quantum having energy hn, where h is Planck’s constant and n is the frequency of light.

37
Q

What happens during the photoelectric effect according to Einstein’s theory?

A

An electron absorbs a quantum of energy (hn) from radiation, and if this energy exceeds the minimum energy needed for the electron to escape from the metal surface (work function f0), the electron is emitted with maximum kinetic energy Kmax = hn – f0.

38
Q

How is the intensity of light related to the number of emitted electrons per second in the photoelectric effect?

A

Increasing the intensity of light increases the number of emitted electrons per second, but the maximum kinetic energy of the emitted photoelectrons is determined by the energy of each photon.

39
Q

What is Einstein’s photoelectric equation?

A

The equation is Kmax = hn – f0, where Kmax is the maximum kinetic energy of emitted electrons, h is Planck’s constant, n is the frequency of light, and f0 is the work function.

40
Q

How does the photoelectric equation explain the dependency of maximum kinetic energy (Kmax) on frequency (n)?

A

Kmax depends linearly on frequency (n) and is independent of the intensity of radiation.

41
Q

What condition must be satisfied for photoelectric emission to occur?
Answer: Photoelectric emission is possible only if hn > f0 or n > n0, where n0 = f0/h.

A

Photoelectric emission is possible only if hn > f0 or n > n0, where n0 = f0/h.

42
Q

How does the intensity of radiation affect photoelectric emission in Einstein’s theory?

A

Intensity of radiation determines the number of energy quanta available, which in turn affects the number of electrons absorbing energy quanta and the resulting photoelectric current.

43
Q

Describe the instantaneous nature of photoelectric emission according to Einstein’s theory.

A

Photoelectric emission is instantaneous because it arises from the absorption of a single quantum of radiation by a single electron, regardless of the intensity of radiation.

44
Q

What is the significance of the photoelectric equation expressed in terms of stopping potential?

A

The equation predicts that the V0 versus n curve is a straight line with a slope of (h/e), independent of the material, providing an important experimental verification of Einstein’s theory.

45
Q

How did Millikan contribute to the validation of Einstein’s photoelectric equation?

A

Millikan’s experiments on the photoelectric effect, particularly on sodium, confirmed the validity of Einstein’s photoelectric equation and determined the value of Planck’s constant (h).

46
Q

Where and when was Albert Einstein born?

A

Albert Einstein was born in Ulm, Germany, in 1879.

47
Q

What were the significant contributions made by Albert Einstein in 1905?

A

In 1905, Albert Einstein published three pathbreaking papers. The first paper introduced the notion of light quanta (photons) and explained the features of the photoelectric effect. The second paper developed a theory of Brownian motion, providing evidence for the atomic picture of matter. The third paper gave birth to the special theory of relativity.

48
Q

What is the significance of Einstein’s 1916 publication?

A

In 1916, Albert Einstein published the general theory of relativity, which revolutionized our understanding of gravity and the universe.

49
Q

What were some of Einstein’s later contributions?

A

Some of Einstein’s later contributions include the notion of stimulated emission (an alternative derivation of Planck’s blackbody radiation law), the static model of the universe (which initiated modern cosmology), quantum statistics of a gas of massive bosons, and a critical analysis of the foundations of quantum mechanics.

50
Q

For what work did Einstein receive the Nobel Prize in Physics in 1921?

A

Albert Einstein was awarded the Nobel Prize in Physics in 1921 for his contributions to theoretical physics and his explanation of the photoelectric effect.

51
Q

What evidence did the photoelectric effect provide regarding the behavior of light when interacting with matter?

A

The photoelectric effect provided evidence that light behaves as if it consists of quanta or packets of energy, each with energy
ℎn.

52
Q

How did Einstein’s work on the photoelectric effect contribute to understanding the nature of light?

A

Einstein demonstrated that the light quantum can be associated not only with energy but also with momentum, leading to the conclusion that light can be associated with a particle. This particle was later named the photon.

53
Q

Who conducted the experiment on the scattering of X-rays from electrons that further confirmed the particle-like behavior of light, and when did this experiment take place?

A

A.H. Compton conducted the experiment on the scattering of X-rays from electrons in 1924.

54
Q

What significant recognition did Einstein receive for his contributions to theoretical physics and the photoelectric effect?

A

Einstein was awarded the Nobel Prize in Physics in 1921 for his contribution to theoretical physics and his explanation of the photoelectric effect.

55
Q

How can the photon picture of electromagnetic radiation be summarized?

A

The photon picture of electromagnetic radiation can be summarized as follows:
* Radiation behaves as if it is made up of particles called photons.
* Each photon has energy E = hn momentum p = hn/c, and the speed of light c.
* All photons of light of a particular frequency or wavelength have the same energy and momentum, regardless of radiation intensity.
* Photons are electrically neutral and not deflected by electric and magnetic fields.
* In a photon-particle collision, total energy and momentum are conserved, but the number of photons may not be conserved.

56
Q

What phenomena illustrate the wave nature of light?

A

Interference, diffraction, and polarization.

57
Q

In what experiments does radiation behave as if it’s composed of particles?

A

In the photoelectric effect and the Compton effect.

58
Q

Why are both particle and wave descriptions important when understanding the phenomenon of seeing an object with our eyes?

A

The gathering and focusing mechanism of light by the eye-lens is well described in the wave picture, while its absorption by the rods and cones requires the photon picture of light.

59
Q

Who proposed the hypothesis that moving particles of matter should exhibit wave-like properties under suitable conditions?

A

Louis Victor de Broglie.

60
Q

What is the mathematical expression for the de Broglie wavelength associated with a particle of momentum p?

A

λ = h / p = h / (mv), where m is the mass of the particle and v is its speed.

61
Q

What does the de Broglie relation indicate about the dual aspect of matter?

A

The left-hand side represents the wavelength, which is characteristic of waves, while the right-hand side represents momentum, which is typical of particles.

62
Q

How is the de Broglie wavelength of a photon related to the wavelength of electromagnetic radiation?

A

The de Broglie wavelength of a photon is equal to the wavelength of electromagnetic radiation of which the photon is a quantum of energy and momentum.

63
Q

How does the de Broglie wavelength change with the mass or speed of a particle?

A

The de Broglie wavelength decreases for heavier particles (larger mass) or more energetic particles (larger speed).

64
Q

What prevents macroscopic objects in daily life from exhibiting wave-like properties?

A

The de Broglie wavelength associated with their motion is too small to be measurable.

65
Q

Who was Louis Victor de Broglie?

A

Louis Victor de Broglie was a French physicist known for proposing the revolutionary idea of the wave nature of matter.

66
Q

What idea did Louis Victor de Broglie propose?

A

Louis Victor de Broglie proposed the idea of the wave nature of matter, suggesting that particles, such as electrons, exhibit wave-like behavior.

67
Q

What was Louis Victor de Broglie’s contribution to quantum mechanics?

A

Louis Victor de Broglie’s idea of the wave nature of matter laid the foundation for the development of quantum mechanics, which was further developed by Erwin Schrödinger into a full-fledged theory known as wave mechanics.

68
Q

What is the commonly known term for the theory developed by Erwin Schrödinger based on Louis Victor de Broglie’s idea?

A

The commonly known term for the theory developed by Erwin Schrödinger based on Louis Victor de Broglie’s idea is wave mechanics.

69
Q

What did Louis Victor de Broglie discover that earned him the Nobel Prize in Physics in 1929?

A

Louis Victor de Broglie was awarded the Nobel Prize in Physics in 1929 for his discovery of the wave nature of electrons.