Calculate the velocity of electrons that form the same pattern as 450-nm light when passed through a double slit. The mass of an electron is 9.11 \times 10^{-31}~\text{kg}9.11×10 −31 kg.

The velocity of electrons is 1617.27 m/s.

Explanation:

Given that,

Wavelength of light,

Mass of an electron,

We need to find the velocity of electrons. It can be given by using De-Broglie wavelength such that :

So, the velocity of electrons is 1617.27 m/s. Hence, this is the required solution.

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s