Free Printable Solid State Physics

1.

a)

this picture represents electrons in infinite periodic potential

b)

this picture represents electrons in a finite potential well

c)

this picture represents electrons in a finite periodic potential well

d)

this picture represents electrons in a infinite potential well

2.

Band theory is explained using

a)

Newtonian eqn

b)

Schrodinger equation for 1D infinite pot. well prob

c)

Schrodinger equation with Kronig Penny model with Bloch funciton

d)

Schrodinger equation with Somerfeld model

3.

The\ relation\ \ \ \ P\frac{Sin\alpha a}{\alpha a}+Cos\alpha a\ =\ CosKa

illustrates that

a)

K values between $-\frac{\pi}{a\ }\ to\ \ +\frac{\pi}{a}$

b)

k values between $-\pi\ to\ \pi$

c)

k values between $-\frac{a}{\pi}\ to\ +\ \frac{a}{\pi}$

d)

k values between $-\frac{\pi}{2a}\ to\ +\frac{\pi}{2a}$

4.

The relation $K2=\frac{2mE}{\left(\frac{h}{2\pi}\right)2}$ and $K=-\frac{\pi}{a}\ to\ +\frac{\pi}{a}$ indicates

a)

E values allowed for K multiple of $-\frac{\pi}{a}\ to\ +\frac{\pi}{a}$

b)

E values allowed for K multiple of $-2\pi\ \ to\ +2\pi$

c)

E values allowed for K multiple of $-a\ to\ +a$

d)

E values allowed for K multiple of $-n\pi\ to\ +n\pi$

5.

Density of states is defined as number of energy states per unit energy range i.e. dN/dE, so which one is the correct picture for this

a)

b)

c)

d)

6.

Figure represents

a)

E-K diagram of a SC crystal

b)

Brillouin Zones of a 2D square lattice

c)

Periodic Brillouin zone scheme

d)

Ewald diagram of a SC crystal

7.

Identify the equation

a)

Bloch function

b)

Schrodinger Equation

c)

Kronig -Penny Equation

d)

Bragg's law in three dimenstins

8.

Figure is a graphical representation of------law

(a)

9.

These are the primitive translation vectors of ------ lattice

(a)

10.

If the angle between primitive translation vectors ‘a and ‘b’ is ‘θ’ other than 90, then the angle between the primitive translation vectors of the reciprocal lattice is

a)

- θ

b)

(90- θ)

c)

θ

d)

(180- θ)

Solid State Physics

Total questions: 10

Worksheet time: 5mins

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