Question

The wave function of a particle in a box is given by ____________

(a) A sin(kx)

(b) A cos(kx)

(c) Asin(kx) + Bcos(kx)

(d) A sin(kx) – B cos(kx)

I got this question in an online quiz.

The above asked question is from Finite Potential Well in section Quantum Physics of Engineering Physics I

Answer 1

Correct answer is (c) Asin(kx) + Bcos(kx)

Easy explanation: The wave function for the particle in a box is given by: Asin(kx)+Bcos(kx). The Energy possessed by the particle is given by: \(\frac{n^2\hbar}{2m}\).