Wave packet quantum mechanics

Properties of Eigen wave function

• Single valued

• Finite

• Continuous

• Infinite

The eigen value of a particle in a box is

The function representing matter waves must be ________

• Complex

• Real

• Zero

• Infinity

Probability of finding the particle in a given space is given by

• Wave function

• Probability amplitude

• Probability density

Which shows dual nature?

• Light alone

• Matter alone

• Light and Matter

• Neither Light nor matter

The energy of a photon corresponding to the visible light of maximum wavelength is approximately _______________

• 7 eV

• 1 eV

• 3.2 eV

• 1.76 eV

The potential energy of a bound electron in an atomic orbital is

• Positive and equal to its kinetic energy

• Negative and equal in magnitude to its kinetic energy

• Negative and greater in magnitude than its kinetic energy

• Positive and lesser than its kinetic energy

The momentum of a photon is p, the corresponding wavelength is ____________

•  $\frac{4}{p}$  

•  $\frac{p}{h}$  

•  $ph$  

•  $\frac{h}{p}$  

Quantum tunnelling occurs only when

• kinetic energy of the particle is less than the potential energy barrier

• kinetic energy of the particle is greater than the potential energy barrier

• kinetic energy of the particle is equal to tthe potential energy barrier

This equation represents Schrodinger's

• time independent in 3-d for free particle.

• time independent in 3-d.

• time dependent in 1-d for free particle.

• time dependent in 1-d.