Final answer:
The velocity of a proton with a mass of 1.6726 × 10^-27 kg and a wavelength of 2.426*10^-10 m is 1.602 × 10^7 meters per second, calculated using the de Broglie wavelength formula.
Step-by-step explanation:
To calculate the velocity of a proton given its wavelength, you can use the de Broglie wavelength formula, which is λ = h / (m × v), where λ is the wavelength, h is Planck's constant (6.626 x 10^-34 m^2 kg / s), m is the mass of the proton, and v is the velocity. Given the proton's mass (1.6726 × 10^-27 kg) and wavelength (2.426 × 10^-10 m), we can rearrange the equation to solve for velocity (v = h / (m × λ)). Substituting the values, we get v = (6.626 x 10^-34) / (1.6726 × 10^-27 kg × 2.426 × 10^-10 m) = 1.602 × 10^7 meters per second.