Q: A hydrogen atom emits a photon as an electron transitions from $$n=3 to$$ $$n=2. $$Which equation gives the energy of the emitted photon?

$$E = 13.6 \left( \frac{1}{2^2$} - \frac{1}{3^2$} \right) \ \text{eV}$$

Question 1

Which of the following best describes the relationship between the speed of light $$c$$, the electric permittivity $$\$$varepsilon_0$$, and the magnetic permeability $$\$$mu_0 of $$free space?

Accepted Answer

$$c = \frac{1}{\sqrt{\$$varepsilon_0$$ \mu_0$}}$$

Question 2

A laser beam passes through a glass slab (refractive index $$n = 1.5) $$and emerges into air. If the angle of incidence inside the glass is $$30^\circ$$, what is the angle of refraction in air?

Accepted Answer

$$48.6^\circ$$

Question 3

In Young’s double-slit experiment, the distance between the slits is $$d = 0.5\ 	ext{mm}$$ and the screen is $$L = 2\ 	ext{m}$$ away. If the wavelength of light used is $$\lambda = 600\ 	ext{nm}$$, what is the distance between adjacent bright fringes?

Accepted Answer

$$2.4\ 	ext{mm}$$

Question 4

Which phenomenon explains the rainbow pattern observed when light passes through a thin film of oil on water?

Accepted Answer

Interference

Question 5

A single slit of width $$a = 0.2\ 	ext{mm} is $$illuminated by light of wavelength $$\lambda = 500\ 	ext{nm}. At $$what angle $$	heta$$ does the first minimum in the diffraction pattern occur?

Accepted Answer

$$0.143^\circ$$

Question 6

According to the Michelson Interferometer experiment, what happens to the interference pattern if the path length in one arm is increased by $$\lambda/2$$?

Accepted Answer

The pattern shifts by one fringe

Question 7

Which equation represents the energy of a photon in terms of its frequency $$f$$?

Accepted Answer

$$E = h f$$

Question 8

In the photoelectric effect experiment, which of the following statements is correct?

Accepted Answer

Electrons are emitted only if the incident light has a frequency above a threshold value

Question 9

A spaceship travels at $$0.8c$$ relative to Earth. According to special relativity, what is the time dilation factor $$\gamma$$?

Accepted Answer

$$\gamma = 1.666$$

Question 10

Which experiment provided evidence for the quantization of energy levels in atoms?

Accepted Answer

The Bohr Theory of Hydrogen

Question 11

According to de Broglie’s hypothesis, what is the wavelength $$\lambda$$ associated with a particle of momentum $$p$$?

Accepted Answer

$$\lambda = \frac{h}{p}$$

Question 12

Which of the following best describes the uncertainty principle?

Accepted Answer

$$\Delta x \Delta p \geq \frac{h}{4\pi}$$

Question 13

A hydrogen atom emits a photon as an electron transitions from $$n=3 to$$ $$n=2. $$Which equation gives the energy of the emitted photon?

Accepted Answer

$$E = 13.6 \left( \frac{1}{2^2$} - \frac{1}{3^2$} ight) \ 	ext{eV}$$

Question 14

Which of the following is NOT a consequence of the wave nature of particles?

Accepted Answer

Photoelectric effect

Question 15

Which equation gives the relationship between the energy $$E$$ and mass $$m in $$special relativity?

Accepted Answer

$$E = m c^2$

Question 16

In a nuclear reaction, which quantity is conserved?

Accepted Answer

Total energy (including mass)

Question 17

Which of the following best describes the function of a converging lens in a microscope?

Accepted Answer

It forms a real, magnified image of the object

Question 18

Which equation describes the condition for constructive interference in a thin film?

Accepted Answer

$$2 n t = m \lambda$$

Question 19

Which of the following statements about cosmic microwave background radiation is correct?

Accepted Answer

It is evidence for the Big Bang theory

Question 20

Which equation gives the radius of the $$nth $$orbit in the Bohr model of hydrogen?

Accepted Answer

$$r_n = n^2$ a_0$

PHYS 206: General Physics IV - Study Guide and Syllabus Overview

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