de Broglie's Relation — Prelims Questions

An electron is accelerated through a potential difference of $V$ volts. If its de Broglie wavelength is $\lambda$, what will be the de Broglie wavelength of a proton accelerated through the same potential difference $V$? (Mass of electron = $m_e$, Mass of proton = $m_p$)

Which of the following particles, all moving with the same kinetic energy, will have the shortest de Broglie wavelength?

If the de Broglie wavelength of a particle is $1.0 \times 10^{-10}\ \text{m}$, what is its momentum? (Planck's constant $h = 6.626 \times 10^{-34}\ \text{J s}$)

An electron and a proton are moving with the same velocity. Which one will have a longer de Broglie wavelength?

Calculate the de Broglie wavelength of a $0.1\ \text{kg}$ ball moving with a speed of $10\ \text{m/s}$. (Planck's constant $h = 6.626 \times 10^{-34}\ \text{J s}$)

An electron is accelerated from rest through a potential difference of $100\ \text{V}$. What is its de Broglie wavelength? (Given: $h = 6.626 \times 10^{-34}\ \text{J s}$, $m_e = 9.109 \times 10^{-31}\ \text{kg}$, $e = 1.602 \times 10^{-19}\ \text{C}$)