Calculate the de Broglie wavelength of a proton moving at 5.50x10^5 m/s.
λ =h/p =h/m•v=6.63•10^-34/1.67•10^-27•5.5•10^5 =7.26•10^-13 m
To calculate the de Broglie wavelength of a particle, you can use the following formula:
λ = h / p
Where:
λ is the de Broglie wavelength,
h is the Planck's constant (h ≈ 6.626 x 10^-34 J·s),
p is the momentum of the particle.
To find the momentum of the proton, you can use the formula:
p = m * v
Where:
p is the momentum,
m is the mass of the proton (m ≈ 1.673 x 10^-27 kg),
v is the velocity of the proton.
First, calculate the momentum of the proton:
p = (1.673 x 10^-27 kg) * (5.50 x 10^5 m/s)
p = 9.2015 x 10^-22 kg·m/s
Next, calculate the de Broglie wavelength using the momentum:
λ = (6.626 x 10^-34 J·s) / (9.2015 x 10^-22 kg·m/s)
λ ≈ 7.184 x 10^-13 meters
Therefore, the de Broglie wavelength of the proton moving at 5.50 x 10^5 m/s is approximately 7.184 x 10^-13 meters.
To calculate the de Broglie wavelength of a particle, you can use the de Broglie wavelength equation:
λ = h / p
where λ is the de Broglie wavelength, h is Planck's constant (h = 6.626 x 10^-34 J.s), and p is the momentum of the particle.
In this case, the proton is moving with a velocity of 5.50 x 10^5 m/s. To find the momentum of the proton, you can use the equation:
p = m * v
where p is the momentum, m is the mass of the proton (m = 1.67 x 10^-27 kg), and v is the velocity of the proton.
Let's plug in the values:
p = (1.67 x 10^-27 kg) * (5.50 x 10^5 m/s)
p ≈ 9.185 x 10^-22 kg.m/s
Now, you can substitute this value of momentum into the de Broglie wavelength equation:
λ = (6.626 x 10^-34 J.s) / (9.185 x 10^-22 kg.m/s)
λ ≈ 7.207 x 10^-13 m
Therefore, the de Broglie wavelength of a proton moving at 5.50 x 10^5 m/s is approximately 7.207 x 10^-13 meters.