What is the de Broglie wavelength, in meters, associated with a proton. (mass = 1.673 x 10^-24g) accelerated to a velocity of 4.5 x 10^7 m/s? I tried dividing the mass by the velocity. I also multiplied the mass times the velocity, and neither answer came out correctly.

Question

What is the de Broglie wavelength, in meters, associated with a proton. (mass = 1.673 x 10^-24g) accelerated to a velocity of 4.5 x 10^7 m/s?  I tried dividing the mass by the velocity.  I also multiplied the mass times the velocity, and neither answer came out correctly.

The final answer is 8.8 x 10^-15.  My calculater does not allow me to type in figures after 8 decimal points so I am unable to figure out what I am doing wrong.

DrBob222 · Answer

wavelength = h/mv h is Planck's constant in Joule-sec. m is mass in KILOGRAMS (not grams). v is velocity in m/s. 8.8 x 10^-15 meters is the right answer.