Question

Please help

Please use the de Broglie equation to determine the wavelength of an electron moving at 2.6 x 10^8 m/s.

Given:
Mass of an electron = 9.11 x 10^-31 kg
Planck's Constant = 6.626 × 10^-34 J*s.

*Please round and report your answer in scientific notation with one decimal place (no units). In Canvas, the number 2.2 x 10^-4 is written as 2.2*10^-4 (be sure to use * instead of
X).

Answer 1

Step-by-step explanation:

To determine the wavelength of an electron using the de Broglie equation, we can use the following formula:

λ = h / (m * v)

where:

λ is the wavelength

h is Planck's constant (6.626 × 10^-34 J*s)

m is the mass of the electron (9.11 x 10^-31 kg)

v is the velocity of the electron (2.6 x 10^8 m/s)

Substituting the given values into the equation, we have:

λ = (6.626 × 10^-34 J*s) / (9.11 x 10^-31 kg * 2.6 x 10^8 m/s)

Now, let's calculate the wavelength:

λ = (6.626 × 10^-34 J*s) / (2.36586 x 10^-22 kg*m/s)

Simplifying the expression, we get:

λ ≈ 2.80 x 10^-12 m

Therefore, the wavelength of an electron moving at a velocity of 2.6 x 10^8 m/s is approximately 2.80 x 10^-12 m.