What is the de-Broglie wavelength associated with an electron moving at a speed of \(5.4\times10^6~\text{m/s}\)?
1. \(0.244~\text{nm}\)
2. \(0.135~\text{nm}\)
3. \(0.157~\text{nm}\)
4. \(0.111~\text{nm}\)

The de-Broglie wavelength associated with a ball of mass \(150~\text{g}\) travelling at a speed of \(30.0~\text{m/s}\) is:
1. \(1.47\times10^{-32}~\text{m}\)
2. \(2.01\times10^{-34}~\text{m}\)
3. \(2.01\times10^{-32}~\text{m}\)
4. \(1.47\times10^{-34}~\text{m}\)$\mathrm{}$

An electron, an α-particle, and a proton have the same kinetic energy. Which of these particles has the shortest de Broglie wavelength?

1. Electron

2. $\alpha$-particle

3. proton

4. All have the same de Broglie wavelength

A particle is moving three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is $1.813\times {10}^{-4}$. The particle’s mass is:

$1. 9.371\times {10}^{-31} \mathrm{kg}$
$2. 9.001\times {10}^{-31} \mathrm{kg}$
$3. 1.675\times {10}^{-27} \mathrm{kg}$
$4. 2.705\times {10}^{-27} \mathrm{kg}$

What is the de Broglie wavelength associated with an electron, accelerated through a potential difference of \(100\) V?
1. \(0.123\) nm
2. \(0.232\) nm
3. \(0.031\) nm
4. \(0.312\) nm