Wavelength of bullet and proton, same momentum

AI Thread Summary
A question was raised about the wavelengths of a bullet and a proton that have the same momentum. The de Broglie wavelength formula, which states that wavelength equals Planck's constant divided by momentum, was referenced. Since both the bullet and proton share the same momentum, they consequently have the same wavelength. The discussion confirmed that the wavelengths are indeed equal. This highlights the application of de Broglie's principle in understanding wave-particle duality.
Cataklyzm
Messages
9
Reaction score
0
Hi.

There's this question that was posed.
And I'm totally lost.:redface: If my professor explained how it's all derived it would've been useful.
Here we are:

A bullet and a proton have the same momentum. Which has the longer wavelength?

Any help?
Thanks,
Cataklyzm
 
Physics news on Phys.org
Tell me what you know about the de Broglie wavelength.
 
Ahh.. de Broglie's.. wavelength = h / momentum..
Because h is Planck's constant.. and momentum is constant in this example.
wavelength is constant.. So they both have the same wavelength.

Thanks.
 
Cataklyzm said:
So they both have the same wavelength.
Thanks.
Glad to be of service :smile:
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top