Calculating the de Broglie wavelength of accelerated electrons

Given:
Potential difference (V) = 150V

The de Broglie wavelength is a concept in quantum mechanics that describes the wave-like behavior of particles, particularly with respect to their momentum. It is given by the equation:
λ = h / p

Where:
λ = de Broglie wavelength
h = Planck's constant (6.626 x 10^-34 J.s)
p = momentum of the particle

Step 1: Determining the momentum of the accelerated electrons
The momentum of a particle can be calculated using the equation:
p = √(2mE)

Where:
p = momentum
m = mass of the particle
E = energy of the particle

Step 2: Determining the energy of the accelerated electrons
The energy of the accelerated electrons can be calculated using the equation:
E = qV

Where:
E = energy
q = charge of the particle
V = potential difference

Step 3: Determining the charge of the electrons
The charge of an electron is given by:
q = -e
where e is the elementary charge (-1.602 x 10^-19 C)

Step 4: Calculating the momentum using the energy
Using the energy value obtained in step 2, we can calculate the momentum using the equation mentioned in step 1.

Step 5: Calculating the de Broglie wavelength
Finally, we can substitute the obtained momentum value into the de Broglie wavelength equation to calculate the wavelength.

Answer:
The de Broglie wavelength of the accelerated electrons can be calculated using the given potential difference of 150V.