TUNNEL EFFECT

The probability density is the

• square root of the wave function

• absolute value of the wave function

• inverse of the wave function

• absolute value of square of the wave function

On which of the following, the transmission probability depends on

• width of the barrier

• height of the barrier

• energy of the incoming particle

• all of these

Within the potential barrier, the shape of the wave function is

• oscillatory

• exponential

• linear

• can't be predicted

Expression for transmission probability is

• $T=e_{ }^{-2k_2L}$

• $T=e_{ }^{+2k_2L}$

• $T=e_{ }^{-k_2L}$

• $T=e_{ }^{+k_2L}$

The boundary condition at the beginning of the barrier is

• $\psi_I=\psi_{II}$

• $\frac{\text{d}\psi_I}{\text{d}x}=\frac{\text{d}\psi_{II}}{\text{d}x}$

• both options are correct

• no options are correct

The flux S of particles is related to the wave function and velocity v of the particle by the relation

•  $S=\left|\psi\right|^2v$  

•  $\frac{\left|\psi\right|^2}{v}$  

•  $\left|\psi\right|v^2$  

•  $\frac{\left|\psi\right|}{v^2}$  

The particle has a finite, non-zero, potential for the region ..............

• x > 0

• x < 0

• 0 < X < L

• x > L

Tunnel effect is notably observed in the case of .....................

• X-rays

• Gamma rays

• Alpha Particles

• Beta Particles

In which of the following regions is E<V?

• A

• B

• C

• none of these regions

An electron is incident on a rectangular potential barrier with a kinetic energy of 2.0 eV. The barrier height is 6.0 eV and its width is d = 1Å. If the width of the barrier is reduced to d' and the transmission coefficient is doubled, the ratio d/ d' is

• 1

• 0.5

• 1.5

• 2