## 1B #19

$c=\lambda v$

Kelly Cai 4D
Posts: 55
Joined: Sat Jul 20, 2019 12:17 am

### 1B #19

Protons and neutrons have nearly the same mass. How different are their wavelengths? Calculate the wavelength of each particle when traveling 2.75 * 10^5 m/s in a particle accelerator and report the difference as a percentage of the wavelength of the neutron.

SnehinRajkumar1L
Posts: 101
Joined: Thu Jul 11, 2019 12:15 am

### Re: 1B #19

Use the De Broglie wavelength equation to solve for the wavelengths of both. Then, divide the wavelength of the neutron by the proton's so that you get the percentage.

Ashley Tran 2I
Posts: 108
Joined: Thu Jul 11, 2019 12:17 am

### Re: 1B #19

The de Broglie wavelength equation relates h to p and p is equal to mass times velocity. Therefore you can substitute p (momentum) for the mass of the proton/neutron and the velocity is the same for either particle (as given in the prompt). h is Planck's constant.