Can someone me with this question.
your will be much appreciated.

q: through what potential difference must electrons be accelerated so that they will exhibit wave nature in passing through a pinhole 0.1 in diameter

Explanation:

The de Broglie wavelength of the electron is given by

where

is the Planck constant

is the mass of the electron

v is its speed

We want the electron to have a wavelength of

(the diameter of the pinhole)

Substituting in the equation above, we find what speed the electron should have:

Now, when a charged particle is accelerated through a potential difference, the kinetic energy it gains is equal to the change in electric potential energy, therefore:

where

is the electron charge

is the potential difference

And solving for ,