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Question

Electromagnetic Theory Question on Wavelength and Frequency

A particle is subjected to a potential described as follows:
V(x)={,if x0 V0,if axb 0,elsewhereV(x) = \begin{cases} \infty, & \text{if } x \leq 0 \\\ V_0, & \text{if } a \leq x \leq b \\\ 0, & \text{elsewhere} \end{cases}
Here, a>0a > 0 and b>ab > a. If the energy of the particle E<V0E < V_0, which one of the following schematics is a valid quantum mechanical wavefunction (Ψ\Psi) for the system?

A

quantum mechanical wavefunction

B

quantum mechanical wavefunction

C

quantum mechanical wavefunction

D

quantum mechanical wavefunction

Answer

quantum mechanical wavefunction

Explanation

Solution

The correct option is (B) :quantum mechanical wavefunction