Free Printable Wave Mechanics 3

1.

The radius of the ground state electron orbital in the hydrogen atom is

a)

$\frac{\epsilon_0e^2}{\pi mh^2}\$

b)

$\frac{\pi e^2}{h\epsilon_0m}$

c)

$\frac{\pi e^{ }}{h\epsilon_0m}$

d)

$\frac{\epsilon_0h^2}{\pi e^2m}\$

2.

Which of the following is correct

a)

P=ħk

b)

P=hk

c)

P=ħ/k

d)

P=h/k

3.

The correct form of the 1-D wave equation is (symbols have usual meanings)

a)

$\frac{1}{v^2}\frac{\partial^2y}{\partial x^2}=\frac{\partial^2y}{\partial t^2}$

b)

$\frac{1}{v^2}\frac{\partial^2t}{\partial y^2}=\frac{\partial^2t}{\partial x^2}$

c)

$\frac{1}{v^2}\frac{\partial^2y}{\partial t^2}=\frac{\partial^2y}{\partial x^2}$

d)

$\frac{1}{v^2}\frac{\partial^2x}{\partial t^2}=\frac{\partial^2y}{\partial t^2}$

4.

Which of the following is correct

a)

$p=2m\left(E-V\right)$

b)

$p^2=2m\left(E+V\right)$

c)

$p=2m\left(E-V\right)$

d)

$p^2=2m\left(E-V\right)$

5.

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

a)

Positive and equal to its kinetic energy

b)

Negative and equal in magnitude to its kinetic energy

c)

Negative and greater in magnitude than its kinetic energy

d)

Positive and lesser than its kinetic energy

6.

The operator for energy is

a)

$iħ\frac{\partial}{\partial x}$

b)

$iħ\frac{\partial}{\partial t}$

c)

$-iħ\frac{\partial}{\partial t}$

d)

$-iħ\frac{\partial}{\partial x}$

7.

The Hamiltonian operator is

a)

$\frac{ħ^2\nabla^2}{2m}+V$

b)

$-\frac{ħ^2\nabla^2}{2m}+V$

c)

$\frac{ħ\nabla^2}{2m}-V$

d)

$\frac{ħ^2\nabla^2}{2m}-V$

8.

The physical significance of the wave function is the determination of

a)

Probability density

b)

Particle density

c)

Charge density

d)

Energy density

9.

$\int_{-\infty}^{+\infty}\psi\psi^*=1$ is true if the wave function is

a)

normalised

b)

infinite

c)

real

d)

complex

10.

The reduction of quantum mechanics to classical mechanics occurs by

a)

correspondence

b)

time evolution

c)

linearity

d)

correspondence, linearity and time evolution

Wave Mechanics 3

Total questions: 10

Worksheet time: 10mins

Similar Resources on Wayground