Calculate the wavelength of a proton with energy 2.45eV.
in meter plz
2.45 ev x (1.6E-19 J/ev) = ?J
?J = hc/wavelength
I did it but it was wrong! :(
Is the answer in meter?
I've got 5.05401530612e-07 but it's wrong :(
Please help...
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
h is the Planck's constant (6.62607015 × 10^(-34) J·s)
p is the momentum of the proton
The momentum of a particle can be calculated using the following equation:
p = √(2mE)
Where:
p is the momentum
m is the mass of the proton (1.6726219 × 10^(-27) kg)
E is the energy of the proton
Let's substitute the given values into the equations:
E = 2.45 eV = 2.45 × 1.6 × 10^(-19) J
m = 1.6726219 × 10^(-27) kg
First, calculate the momentum using the second equation:
p = √(2 × 1.6726219 × 10^(-27) kg × 2.45 × 1.6 × 10^(-19) J)
Next, plug the calculated momentum into the de Broglie wavelength equation to find the wavelength:
λ = (6.62607015 × 10^(-34) J·s) / p
Finally, convert the wavelength from meters to the desired unit (e.g., meters):
λ = λ_result × 1 meter
Performing the calculations should give you the value of the wavelength in meters.