If the following particles are moving at the same velocity, then which among them will have the maximum de-Broglie wavelength?
1. Neutron               
2. Proton
3. \(β -\)particle             
4. \(α -\)particle

Subtopic:  De-broglie Wavelength |
 61%
Level 2: 60%+
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The de-Broglie wavelength of a particle moving with a velocity \(2.25\times 10^{8}\) m/s is equal to the wavelength of the photon. What is the ratio of the kinetic energy of the particle to the energy of the photon? (velocity of light is \(3\times 10^{8}\) m/s)
1. \(\frac{1}{8}\) 2. \(\frac{3}{8}\)
3. \(\frac{5}{8}\) 4. \(\frac{7}{8}\)
Subtopic:  De-broglie Wavelength |
 69%
Level 2: 60%+
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A proton and an \(\alpha\text-\)particle are accelerated through a potential difference of \(100\) V. What is the ratio of the wavelength associated with the proton to that of the alpha-particle?
1. \(\sqrt{2}:1\)
2. \(2:1\)
3. \(2\sqrt{2}:1\)
4. \(\frac{1}{2\sqrt{2}}:1\)
Subtopic:  De-broglie Wavelength |
 70%
Level 2: 60%+
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What is the momentum of a photon in an \(X\text-\)ray beam of \(10^{-10}\) meter wavelength?
1. \(1.5 \times 10^{-23}~\text{kg-m/s}\)
2. \(6.6 \times 10^{-24}~\text{kg-m/s}\)
3. \(6.6 \times 10^{-44}~\text{kg-m/s}\)
4. \(2.2 \times 10^{-52}~\text{kg-m/s}\)
Subtopic:  De-broglie Wavelength |
 91%
Level 1: 80%+
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The energy of quanta of frequency \(10^{15}~\text{Hz}\) and \(h = 6.6 \times 10^{-34}~\text{J-s}\) will be:
1. \(6.6\times 10^{-19}~\text{J}\)
2. \(6.6\times 10^{-12}~\text{J}\)
3. \(6.6\times 10^{-49}~\text{J}\)
4. \(6.6\times 10^{-41}~\text{J}\)

Subtopic:  Particle Nature of Light |
 92%
Level 1: 80%+
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The number of photo-electrons emitted per second from a metal surface increases when:

1. The energy of incident photons increases. 2. The frequency of incident light increases.
3. The wavelength of the incident light increases. 4. The intensity of the incident light increases.
Subtopic:  Photoelectric Effect: Experiment |
 82%
Level 1: 80%+
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A photon of energy \(3.4~\text{eV}\) is incident on a metal having a work function of \(2~\text{eV}.\) The maximum \(K.E\) of photo-electrons is equal to:
1. \(1.4~\text{eV}\) 2. \(1.7~\text{eV}\) 
3. \(5.4~\text{eV}\) 4. \(6.8~\text{eV}\)
Subtopic:  Einstein's Photoelectric Equation |
 92%
Level 1: 80%+
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The spectrum of radiation \(1.0\times 10^{14}\) Hz is in the infrared region. The energy of one photon of this in joules will be:
1. \(6.62\times 10^{-48}\)
2. \(6.62\times 10^{-20}\)
3. \(\frac{6.62}{3}\times 10^{-28}\)
4. \(3\times 6.62\times 10^{-28}\)

Subtopic:  Particle Nature of Light |
 91%
Level 1: 80%+
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A photocell is receiving light from a source placed at a distance of \(1\) m. If the same source is placed at a distance of \(2\) m, then the ejected electron:
1. moves with one-fourth of energy as that of the initial energy.
2. moves with one-fourth of momentum as that of the initial momentum.
3. will be half in number.
4. will be one-fourth in number.
Subtopic:  Electron Emission |
 70%
Level 2: 60%+
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The stopping potential for photoelectrons:

1. does not depend on the frequency of the incident light.
2. does not depend upon the nature of the cathode material.
3. depends on both the frequency of the incident light and the nature of the cathode material.
4. depends upon the intensity of the incident light.
Subtopic:  Photoelectric Effect: Experiment |
 74%
Level 2: 60%+
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