Question

Use the de Broglie equation to determine the wavelength of an electron moving at 9.7 x 10⁶ m/s. Given: mass of an electron = 9.11 x 10⁻³1 kg, Planck's constant = 6.626 x 10⁻³4 J*s. Round and report your answer in scientific notation with two decimal places (no units).

Answer 1

The de Broglie equation can be used to find the wavelength of a particle. By plugging in the values given, we can calculate the wavelength of an electron moving at a certain velocity.

Step-by-step explanation:

The de Broglie equation relates the wavelength of a particle to its mass and velocity. The equation is λ = h / mv, where λ represents the wavelength, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle.

Using the given information, we can plug in the values into the de Broglie equation to find the wavelength. λ = (6.626 x 10^-34 J·s) / (9.11 x 10^-31 kg × 9.7 x 10^6 m/s).

Calculating this expression gives us a wavelength of approximately 7.05 x 10^-10 m (or 0.705 nm in scientific notation).