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 |
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Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?

1.   2.
3.
4.
Subtopic:  De-broglie Wavelength |
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What is the de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature \(T\) (Kelvin) and mass \(m\)?
1. \(\frac{h}{\sqrt{m k T}}\) 2. \(\frac{h}{\sqrt{3 m k T}}\)
3. \(\frac{2 h}{\sqrt{3 m k T}}\) 4. \(\frac{2 h}{\sqrt{m k T}}\)
Subtopic:  De-broglie Wavelength |
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The de-Broglie wavelength of a particle accelerated by a \(150\) volt potential difference is \(10^{-10}\) m. What will its wavelength be if it is accelerated by a \(600\) volt potential difference?
1. \(0.25~\mathring{A}\)
2. \(0.5~\mathring{A}\)
3. \(1.5~\mathring{A}\)
4. \(2~\mathring{A}\)

Subtopic:  De-broglie Wavelength |
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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 |
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Electrons used in an electron microscope are accelerated by a voltage of \(25\) kV. If the voltage were increased to \(100\) kV, then the de-Broglie wavelength associated with the electrons would:
1. decrease by \(2\) times
2. decrease by \(4\) times
3. increase by \(4\) times
4. increase by \(2\) times
Subtopic:  De-broglie Wavelength |
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What will be the percentage change in the de-Broglie wavelength of the particle if the kinetic energy of the particle is increased to \(16\) times its previous value?
1. \(25\)
2. \(75\)
3. \(60\)
4. \(50\)

Subtopic:  De-broglie Wavelength |
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An electron of mass m with an initial velocity \(\overrightarrow v= v_0\hat i\)\( ( v_o > 0 ) \) enters in an electric field \(\overrightarrow E = -E_0 \hat i\)\((E_0 = \text{constant}>0)\) at \(t=0\). If \(\lambda_0\), is its de-Broglie wavelength initially, then what will be its de-Broglie wavelength at time \(t\)?
1. \(\frac{\lambda_0}{\left(1+ \frac{eE_0}{mv_0}t\right)}\)
2. \(\lambda_0\left(1+ \frac{eE_0}{mv_0}t\right)\)
3. \(\lambda_0 t\)
4. \(\lambda_0\)

Subtopic:  De-broglie Wavelength |
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If alpha, beta and gamma rays carry the same momentum, which has the longest wavelength?

1. Alpha rays 2. Beta rays
3. Gamma rays 4. None, all have same wavelength
Subtopic:  De-broglie Wavelength |
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Waves are associated with matter only:

1. When it is stationary.
2. When it is in motion with the velocity of light only.
3. When it is in motion with any velocity.
4. None of the above.

Subtopic:  De-broglie Wavelength |
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