Question

Protons can be accelerated to speeds near that of light in particle accelerators. Estimate the wavelength (in nm) of such a proton moving at 2.86 × 108 m/s (mass of a proton = 1.673 × 10−27 kg). Enter your answer in scientific notation.

Answer 1

Answer:

Explanation:

λ = (h/(m*v))(√(1-v^2/c^2) since v is 80% of the speed of light

√(1- .8^2) = 0.6

h= 6.63 x 10^-34 Joule sec or 6.63 x 10^-34 kgm^2/s

m = 1.673 x 10^-27 kg

λ= 6.63x10^-34/((1.68 x 10^-27)(2.4 x 10^8))(0.447)= 9.87 x 10^-16 meters

λ= 9.87 x 10^-7 nanometers

Hope this helps you