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A particle is subjected to a potential described as follows:
\[ V(x) = \begin{cases} \infty, & \text{if } x \leq 0 \\ V_0, & \text{if } a \leq x \leq b \\ 0, & \text{elsewhere} \end{cases} \]
Here, \(a > 0\) and \(b > a\). If the energy of the particle \(E < V_0\), which one of the following schematics is a valid quantum mechanical wavefunction (\(\Psi\)) for the system?
A particle is subjected to a potential described as follows:
\[ V(x) = \begin{cases} \infty, & \text{if } x \leq 0 \\ V_0, & \text{if } a \leq x \leq b \\ 0, & \text{elsewhere} \end{cases} \]
Here, \(a > 0\) and \(b > a\). If the energy of the particle \(E < V_0\), which one of the following schematics is a valid quantum mechanical wavefunction (\(\Psi\)) for the system?
\[ V(x) = \begin{cases} \infty, & \text{if } x \leq 0 \\ V_0, & \text{if } a \leq x \leq b \\ 0, & \text{elsewhere} \end{cases} \]
Here, \(a > 0\) and \(b > a\). If the energy of the particle \(E < V_0\), which one of the following schematics is a valid quantum mechanical wavefunction (\(\Psi\)) for the system?
Updated On: Jul 12, 2024
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The Correct Option is B
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The correct option is (B) :
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