(a) Explain what is meant by the divergence of a vector field $\vec{A…

Question

(a) Explain what is meant by the divergence of a vector field $\vec{A}$. Derive expression for Div $\vec{A}$ in Cartesian co-ordinates. Discuss its physical significance. 12

(b) Find the probability that a particle trapped in a box of width 'L' can be found between 0.1 L and 0.2 L for the ground and the first excited states. 8

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