A proton has a deBroglie wavelength of 6.1E-14 m. Determine its velocity.
Question
A proton has a deBroglie wavelength of 6.1E-14 m. Determine its velocity.
Solution
To determine the velocity of a proton with a given deBroglie wavelength, we can use the deBroglie equation:
λ = h / (m*v)
where: λ is the deBroglie wavelength, h is Planck's constant (6.62607015 × 10^-34 m^2 kg / s), m is the mass of a proton (1.67262192 × 10^-27 kg), and v is the velocity of the proton.
We can rearrange the equation to solve for v:
v = h / (λ*m)
Substituting the given values:
v = (6.62607015 × 10^-34 m^2 kg / s) / (6.1E-14 m * 1.67262192 × 10^-27 kg)
After performing the calculation, we find that the velocity of the proton is approximately 6.43 x 10^6 m/s.
Similar Questions
A particle with the speed of 2.1 x 107 ms-1, its de Broglie wavelength is 6.5 x10-14 m. What is the mass of the particle
A proton and an α-particle are accelerated from rest by 2 V and 4 V potentials, respectively. The ratio of their de-Broglie wavelength is:4 : 12 : 18 : 116 : 1
Calculate the de Broglie wavelength of an electron travelling at a speed of 2×107 m s−1.
The de Broglie wavelength of a particle is 3.62 x 10‒11 m when it has a speed of2.8×103 m s‒1. Calculate the mass of the particle.
The ratio of de-Broglie wavelength of an α-particle and a proton accelerated from rest by the same potential is 1m√ , the value of m is:
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.