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Group velocity quantum mechanics

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Select all that applies regarding Photoelectric current / effect.

a)

Depends on frequency of incident radiation.

b)

Independent on intensity of incident radiation.

c)

Depends on nature of emitting surface.

d)

The kinetic energy of electrons depends on intensity of radiation.

2.

The three essential conditions for a wave function are

a)

It should be normalizable

b)

It must be finite and single valued.

c)

It's derivatives, must be continuous and single valued.

d)

It, along with it's derivatives, must be continuous and single valued.

3.

The slope of the kinetic energy versus frequency graph in the case of photoelectric effect, is

a)

n h / e

b)

h / n e

c)

h / e

d)

h e

4.

Waves generated on the surface of water travel with phase velocity

 vp=gλ2πv_p=\sqrt{\frac{g\lambda}{2\pi}}  ,what is  the group velocity 

a)

 2vp2v_p  

b)

 vp2\frac{v_p}{2}  

c)

 vp22\frac{v_p^2}{2}  

d)

 vp4\frac{v_p}{4}  

5.

What does the p stand for?

a)

power

b)

momentum

c)

pressure

d)

principle axis

6.

In the case of time independent Schrodinger equation, the potential is ____

a)

dependent on time.

b)

may or may not be independent on time.

c)

independent on time.

d)

zero.

7.

This equation represents Schrodinger's

a)

time independent in 3-d for free particle.

b)

time independent in 3-d.

c)

time dependent in 1-d for free particle.

d)

time dependent in 1-d.

8.

There will be a probability of finding the particle outside the well in

a)

Infinite potential

b)

Finite potential

9.

Determine the uncertainty in the velocity of a proton confined to a box of length 1 Ao

a)

630 m/s

b)

63 cm/s

c)

6.3 cm/s

d)

63 m/s

10.

If the particle is confined to a region, what will be the potential inside the well

a)

Infinite

b)

V0

c)

Zero