For a particle in one-dimensional box of length L with potential energy V(x) = 0 for L > x > 0 and V(x) = ∞… · ABC26PH0790

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 $V(x) = 0$ for $L > x > 0$ and $V(x) = \infty$ for $x \ge L$ and $x \le 0$ an acceptable wave function consistent with the boundary conditions is (A, B, C and D are constants)
(a)$A\cos\left(\frac{n\pi x}{L}\right)$
(b)$B(x + x^2)$
(c)$Cx^3(x - L)$
(d)$\frac{D}{\sin\left(\frac{n\pi x}{L}\right)}$
Answer
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Explanation
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