Using de Broglie's equation, what is the wavelength (in meters) of an electron (mass = 9.109 x 10-31kg) moving at 5.39 x 107 m/s?
To find the wavelength of an electron, we can use de Broglie's equation:
λ = h / (mv)
where λ is the wavelength, h is Planck's constant (6.626 × 10^-34 J·s), m is the mass of the electron, and v is the velocity of the electron.
Given:
m = 9.109 × 10^-31 kg (mass of the electron)
v = 5.39 × 10^7 m/s (velocity of the electron)
Let's substitute the given values into the equation:
λ = (6.626 × 10^-34 J·s) / (9.109 × 10^-31 kg) × (5.39 × 10^7 m/s)
Now, let's calculate the value using a calculator:
λ = (6.626 × 10^-34 J·s) / (9.109 × 10^-31 kg) × (5.39 × 10^7 m/s)
≈ 1.21 × 10^-9 meters
Therefore, the wavelength of the electron is approximately 1.21 × 10^-9 meters.