How do I find the mass of a particle when what's given is that it's 22 Hz and has a wavelength of 4.0 meters?

Question

anonymous · Answer

There might be a way, but only if its velocity is almost the same as light's velocity.
$$\lambda=V/f$$ lamda is wavelength, V is velocity and f is frequency.
If you solve for V, you have a way to get the velocity of the particle.
if its velocity is very close to the light velocity constant, the you can use:
$$e=mc^2$$ now you need to get e = energy of your particle from:
$$e=hf $$ or$$e=ch/\lambda $$in every case, h is Planck's constant and c is light velocity constant.
Now you can imput e = energy of particle and c = light velocity constant.
$$e=mc^2$$ solve for m as mass, substitute the energy you can get from previous equations. everything ought to be in meters as unit of length.

aaronq · Answer

use deBroglie's equation: 

$$\lambda=\frac{ h }{mv}$$

h = plancks constant
m= mass of object
v= velocity of object