What is the de-Broglie wavelength of an electron with the kinetic energy of \(120\) eV?
1. \(0.123\) nm
2. \(0.121\) nm
3. \(0.112\) nm
4. \(0.131\) nm
For what kinetic energy of a neutron will the associated de Broglie wavelength be
1.40 x m?
1.\(1.1 \times 10^{-2}\ eV\)
2.\(2.1 \times 10^{-2}\ eV\)
3.\(3.3 \times 10^{-2}\ eV\)
4.\(4.2 \times 10^{-2}\ eV\)
What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-mean-square speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)
1. 0.028 nm
2. 0.031 nm
3. 0.127 nm
4. 0.0139 nm
What is the de-Broglie wavelength of a bullet of mass \(0.040\) kg traveling at the speed of \(1.0\) km/s?
1. | \(1.65\times10^{-35}\) m | 2. | \(1.05\times10^{-35}\) m |
3. | \(2.15\times10^{-35}\) m | 4. | \(2.11\times10^{-35}\) m |
An electron and a photon each have a wavelength of 1.00 nm. The momentum of the electron will be:
1. Greater than photon.
2. Equal to the photon.
3. Less than photon.
4. None of these.
An electron microscope uses electrons accelerated by a voltage of 50 kV. The de Broglie wavelength associated with the electrons is:
1. \(6.7 \times 10^{-12} \mathrm{~m}\)
2. \(5.4 \times 10^{-12} \mathrm{~m}\)
3. \(8.5 \times 10^{-12} \mathrm{~m}\)
4. \(4.4 \times 10^{-12} \mathrm{~m}\)
The typical de Broglie wavelength associated with a He atom in helium gas at room temperature and 1 atm pressure will be:
1. \(4.63 \times 10^{-11} \mathrm{~m}\)
2. \(6.2 \times 10^{-12} \mathrm{~m}\)
3. \(7.3 \times 10^{-11} \mathrm{~m}\)
4. \(5.7 \times 10^{-12} \mathrm{~m}\)
The typical de-Broglie wavelength of an electron in metal at \(27^{\circ}\text{C}\) will be:
1. | \(4.4 \times 10^{-10} ~\text{m}\) | 2. | \(3.4 \times 10^{-9}~ \text{m}\) |
3. | \(1.3 \times 10^{-10}~ \text{m}\) | 4. | \(6.2 \times 10^{-9} ~\text{m}\) |