A particle which has zero rest mass and non-zero energy and momentum must travel with a speed:
1. Equal to \(c\), the speed of light in vacuum.
2. Greater than \(c\).
3. Less than \(c\).
4. Tending to infinity.

Subtopic:  De-broglie Wavelength |
 76%
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If the de-Broglie wavelengths for a proton and an alpha-particle are equal, then the ratio of their velocities will be:
1. \(4:1\)
2. \(2:1\)
3. \(1:2\)
4. \(1:4\)

Subtopic:  De-broglie Wavelength |
 68%
From NCERT
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How much energy should be added to an electron to reduce its de-Broglie wavelength from \(10^{-10}\) m to \(0.5\times10^{-10}\) m?
1. Four times the initial energy.
2. Thrice the initial energy.
3. Equal to the initial energy.
4. Twice the initial energy.

Subtopic:  De-broglie Wavelength |
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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 |
 59%
From NCERT
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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%
From NCERT
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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 |
 67%
From NCERT
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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 |
 90%
From NCERT
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The energy of a quanta of frequency \(10^{15}\) 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 |
 91%
From NCERT
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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 |
 81%
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A photon of energy \(3.4\) eV is incident on a metal having a work function of \(2\) eV. The maximum K.E of photo-electrons is equal to:
1. \(1.4\) eV 2. \(1.7\) eV
3. \(5.4\) eV 4. \(6.8\) eV
Subtopic:  Einstein's Photoelectric Equation |
 91%
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