The basic principle behind quantum mechanics is

The eigen value for the eigen function e^6x, operated by d²/dx² is

A particle is confined in one-dimensional box with impenetrable walls at x ± a. Its energy eigenvalues is 2eV. Then the lowest possible energy of particle is

• 4 eV

• 2 eV

• 1 eV

• 0.1 eV

The common between classical and quantum mechanical fundamental distribution function is :

• they all depend upon the quantity that define state only

• they all depend only upon the energy of the state

• they all depend both on energy and quantity defining state

• nothing is common in them

Calculate the de Broglie wavelength of a particle travelling at a velocity of 10⁷ cm/s?

• 7.7 Å

• 72.7 Å

• 0. 727 Å

• 0.0727 Å

The eigen value of a particle in a box is

The notation for representing wave function is

The wave function of a particle in abox is given by

The walls of a particle in a box are supposed to be

• Small but infinitely hard

• Infinitely large but soft

• Soft and Small

• Infinitely hard and infinitely large

The wave function of the particle lies in which region?

• x > 0

• x < 0

• 0 < X < L

• x > L