Postulates Of Quantum Mechanics MCQ Level - 1 - IIT JAM MCQ

The ground state energy of an electron confined to a box 1Å wide is.

Which of the following values of A will properly normalize the wave function of a rigid dumbbell rotating about its centre having φ dependence as ψ(φ) = Ae^imφ  where m is a quantum number.

A particle of mass m has the wave function ψ(x, t) = e^iωt (α cos kx + β sin kx) where α, β are complex constants and ω and k are real constants. The probability current density is equal to :

If de-Broglie wavelength of an electron is 7.3Å. Then the velocity of electron is. Given, m_e = 9.1 × 10^–31 kg and h = 6.6 × 10^–34 Js.

Which of the following is correct set of eigenvalues of the Hermitian matrix 

If ψ is a normalized solution of the Schrödinger equation and Q is the operator corresponding to a physical quantity x, then the quantity  may be integrated in order to obtain :

A particle limited to the x–axis has the wave frequency ψ = ax between x = 0 and x = 1, ψ = 0 elsewhere. The expectation value  of the particle's position is.