how quickly must a 54.7 g tennis ball travel i order to have a de Broglie wavelength that is equal to a photon of green light?
wavelength = h/mv
Substitute the wavelength of the green light you have in mind (in meters), use mass in kg and v will be in m/s.
nearest star distance of 4.3 light years proxima centauri is the nearest star to our solar system. what is the distance to proxima centauri kilometers? the speed of light in space is 2.998 x10^8 m/s.
To determine the velocity of the tennis ball that corresponds to a de Broglie wavelength equal to a photon of green light, you need to use the de Broglie wavelength equation:
λ = h / p
Where:
λ is the de Broglie wavelength
h is the Planck's constant (approximately 6.626 x 10^-34 J·s)
p is the momentum of the object
First, you need to find the momentum of the tennis ball by using the equation:
p = m * v
Where:
m is the mass of the tennis ball (54.7 g or 0.0547 kg)
v is the velocity of the tennis ball
Now, rearranging the de Broglie wavelength equation, we get:
v = h / (λ * m)
Given that the de Broglie wavelength of green light is approximately 500 nm (5 x 10^-7 m), you can substitute the values into the equation:
v = (6.626 x 10^-34 J·s) / ((5 x 10^-7 m) * (0.0547 kg))
By calculating this, you can find the velocity (v) at which the tennis ball needs to travel to have a de Broglie wavelength equal to a photon of green light.