What is the wavelength of a proton traveling at a speed of 6.87 km/s

To find the wavelength of a proton traveling at a certain speed, we can make use of the de Broglie wavelength formula. The de Broglie wavelength (λ) of a particle is given by:

λ = h / p

Where:
λ is the wavelength
h is the Planck's constant (approximately 6.626 x 10^-34 J·s)
p is the momentum of the particle

The momentum (p) of a particle can be calculated using the formula:

p = m * v

Where:
p is the momentum
m is the mass of the particle
v is the velocity of the particle

Given that m is the mass of a proton (approximately 1.67 x 10^-27 kg) and v is the speed of the proton (6.87 km/s), we can calculate the momentum (p) first. Let's convert the speed to m/s:

6.87 km/s = 6.87 x 10^3 m/s

Now we can calculate the momentum (p) using the mass and velocity:

p = (1.67 x 10^-27 kg) * (6.87 x 10^3 m/s)

Once we have the momentum (p), we can substitute it into the de Broglie wavelength formula to find the wavelength (λ).