A proton has a deBroglie wavelength of 9.5E-14 m. Determine its velocity.

Sure, to determine the velocity of a proton with a given deBroglie wavelength, we can use the deBroglie equation which is:

λ = h / p

where: λ is the deBroglie wavelength, h is Planck's constant (6.62607015 × 10^-34 m^2 kg / s), p is the momentum of the particle.

We know that momentum (p) is the product of mass (m) and velocity (v), so we can rewrite the equation as:

λ = h / (m * v)

We are trying to find the velocity (v), so let's rearrange the equation to solve for v:

v = h / (λ * m)

We know that the mass of a proton (m) is 1.6726219 x 10^-27 kg, Planck's constant (h) is 6.62607015 × 10^-34 m^2 kg / s, and the deBroglie wavelength (λ) is 9.5E-14 m. Substituting these values into the equation gives:

v = 6.62607015 × 10^-34 m^2 kg / s / (9.5E-14 m * 1.6726219 x 10^-27 kg)

Now, we just need to do the calculation to find the velocity.