Final answer:
To calculate the de Broglie wavelength of a proton, use the equation = h / p, where is the wavelength, h is Planck's constant, and p is the momentum of the proton. Convert the distance traveled to meters, calculate the velocity, momentum, and finally, the de Broglie wavelength using the given formulas.
Step-by-step explanation:
To calculate the de Broglie wavelength of a proton, we can use the de Broglie equation:
λ = h / p
Where λ is the wavelength, h is Planck's constant, and p is the momentum of the proton. Momentum can be calculated using the formula:
p = m * v
where m is the mass of the proton and v is its velocity.
First, convert the distance traveled from kilometers to meters: 13 km = 13,000 m. Then calculate the velocity using the formula:
v = d / t
where d is the distance and t is the time. Plug in the values and calculate the velocity. Next, calculate the momentum using the formula:
p = m * v
Finally, calculate the de Broglie wavelength using the formula:
λ = h / p
Substitute the values for Planck's constant and momentum, and calculate the de Broglie wavelength.