What is the de-Broglie wavelength associated with an electron moving at a speed of \(5.4\times10^6~\text{m/s}\)?

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 \(α\text-\)particle, and a proton have the same kinetic energy. Which of these particles has the shortest 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. \(9.371 ~\times 10^{-31}~\text{kg}\)
2. \(9.001 ~\times 10^{-31}~\text{kg}\)
3. \(1.675 ~\times 10^{-31}~\text{kg}\)
4. \(2.705 ~\times 10^{-31}~\text{kg}\)

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