For a particle in one-dimensional box of length L with potential energy V(x)=0 for L>x>0 and V(x)= for x L and x 0 an acceptable wave function consistent with the boundary conditions is (A,B,C and D are constants)

ABC26PH0790 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Particle In A Box · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

For a particle in one-dimensional box of length L with potential energy $\mathrm{V}(\mathrm{x})=0$ for $\mathrm{L}>\mathrm{x}>0$ and $\mathrm{V}(\mathrm{x})=\infty$ for $\mathrm{x} \geq \mathrm{L}$ and $\mathrm{x} \leq 0$ an acceptable wave function consistent with the boundary conditions is (A,B,C and D are constants)

(a)$\mathrm{A} \cos \left(\frac{\mathrm{n} \pi \mathrm{x}}{\mathrm{L}}\right)$

(b)$\mathrm{B}\left(\mathrm{x}+\mathrm{x}^{2}\right)$

(c)$\mathrm{Cx}^{3}(\mathrm{x}-\mathrm{L})$

(d)$\frac{\mathrm{D}}{\sin \left(\frac{\mathrm{n} \pi \mathrm{x}}{\mathrm{L}}\right)}$

Answer

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Explanation

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