Calculate the wavelength of a proton with energy 2.45 eV.
Please some help!
Finally I found it.We have to do this :
wavelength=h/P
P^2=2*m*E
P=sqrt(2*m*E)
E = joule
h = Planck's constant
m = kg
2.45 eV = 3.92E-19 joules.
Then E = hc/wavelength.
E = joules
h = Planck's constant
solve for wavelength in meters.
Can you write the result because i found 5.067e-7 and it's wrong.I try it many time in diffrent ways baut I finished with the some result!
Sure! To calculate the wavelength of a proton with a given energy, you can use the de Broglie wavelength equation:
λ = h / p
Where:
λ is the wavelength of the proton
h is the Planck's constant (6.626 × 10^-34 J⋅s)
p is the momentum of the proton
To find the momentum of the proton, you can use the energy-momentum relation for particles:
E = p^2 / (2m)
Where:
E is the energy of the proton
m is the mass of the proton (1.67 × 10^-27 kg)
Now, let's calculate the momentum first:
p = sqrt(2 * m * E)
p = sqrt(2 * (1.67 × 10^-27 kg) * (2.45 eV * 1.6 × 10^-19 J/eV))
Note that we need to convert the energy from eV to joules by multiplying it by the conversion factor of 1.6 × 10^-19 J/eV.
Once you find the momentum, you can substitute it back into the de Broglie wavelength equation:
λ = h / p
Plugging in the values, you can determine the wavelength.