Seemingly easy quantum question

[bemigh]

Hey, i don't understand why i can't seem to find this answer??
Im given the length of the box, the mass, the value of n, i can solve for E of the particle, then using E=hf, solve for eventually the wavelength.
Is their something wrong with my process??

A particle of mass 2.13×10-28 kg is confined to a one-dimensional box of width 1.18×10-10 m. For n = 1 , what is the particle's wavelength?

Cheers

 

[Gamma]

I would use the relation $$E^2 = p^2c^2 + m_0 c^2$$ (relativistic energy) to find E and then use the De broglie relation to find lamda. E = hf wouldn't work since we are dealing with a particle with mass.

 

[thepatientmental]

for asking for clarification on this question. It seems like you have the right approach, and there may be a small error in your calculation. Remember that the energy of a particle in a one-dimensional box is given by E = (n^2 * h^2) / (8mL^2), where n is the quantum number, h is Planck's constant, m is the mass of the particle, and L is the length of the box. Once you have calculated the energy, you can use E = hf to solve for the wavelength. Make sure to double check your calculations to ensure accuracy. Good luck!