BS-106 APPLIED PHYSICS-II (credit: 3)

An eigen function of an operator d²/dx² is Ψ = e^αx. Find the corresponding Eigen value.

Show that Wien’s law is a special case of Planck’s radiation law.

Calculate spacing between (011), (101), (112), (111) and (100) planes of a cubic lattice with lattice constant 'a'.

Explain why a semiconductor acts as an insulator at 0K.

The wave function of a particle is Ψ = A cos²x for interval –π/2 to π/2. Find the value of A.