Q: Which of the following statements correctly describes the relationship between wavelength ($$\lambda) $$and frequency ($$\nu) $$for electromagnetic waves traveling at the speed of light?

As $$\lambda$$ increases, $$\nu$$ decreases.

Question 1

Which of the following statements correctly describes the relationship between wavelength ($$\lambda) $$and frequency ($$
u) $$for electromagnetic waves traveling at the speed of light?

Accepted Answer

As $$\lambda$$ increases, $$
u$$ decreases.

Question 2

A photon of ultraviolet light has a wavelength of $$2.50 	imes 10$$^{-7}$$ m. What is its frequency ($$
u$$)? Use c = 3.00$$ 	imes $$10^8 m/s.$$

Accepted Answer

$$7.50 	imes 10$$^{14}$$ Hz

Question 3

Which of the following types of electromagnetic radiation has the shortest wavelength?

Accepted Answer

X-ray

Question 4

The energy ($$E) of a $$photon is given by $$E = h
u. If $$the frequency of a photon is doubled, what happens to its energy?

Accepted Answer

The energy is doubled.

Question 5

Which phenomenon cannot be explained by the classical wave theory of light?

Accepted Answer

Photoelectric effect

Question 6

A radio station broadcasts at a frequency of $$1.00 	imes 10^8$ Hz. What is the wavelength of these radio waves?

Accepted Answer

$$3.00 m$$

Question 7

Which statement best describes a quantum of energy according to Planck's theory?

Accepted Answer

A quantum is the smallest amount of energy that can be emitted or absorbed as electromagnetic radiation.

Question 8

Calculate the energy of a photon with a wavelength of $$500 nm$$. ($$h = 6.63 	imes 10$$^{-34}$$ J·s, c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$3.98 	imes 10$$^{-19}$$ J

Question 9

Which of the following is true about the photoelectric effect?

Accepted Answer

Electrons are emitted only if the light frequency exceeds a threshold value, regardless of intensity.

Question 10

Which equation correctly relates the speed of light ($$c$$), wavelength ($$\lambda$$), and frequency ($$
u$$)?

Accepted Answer

$$c = \lambda 
u$$

Question 11

Visible light has wavelengths roughly between $$400 nm $$and $$700 nm. $$Which color of visible light has the highest energy photons?

Accepted Answer

Violet

Question 12

A hospital uses X-rays with a wavelength of $$1.54 	imes 10$$^{-10}$$ m for imaging. What is the energy of one photon of this X-ray? (h = 6.63$$ 	imes $$10^{-34} J$$·s, $$c = 3.00 	imes 10^8$ m/s)

Accepted Answer

$$1.29 	imes 10$$^{-15}$$ J

Question 13

Which of the following best describes the difference between a continuous spectrum and a line spectrum?

Accepted Answer

A continuous spectrum contains all wavelengths, while a line spectrum contains only specific wavelengths.

Question 14

Which unit is commonly used to express the wavelength of ultraviolet radiation?

Accepted Answer

nm

Question 15

If the frequency of a wave is $$5.0 	imes 10$$^{14}$$ Hz, what is its wavelength in meters? (c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$6.0 	imes 10$$^{-7}$$ m

Question 16

Which of the following statements about electromagnetic waves is correct?

Accepted Answer

Electromagnetic waves consist of both electric and magnetic field components.

Question 17

Which scientist proposed that energy is quantized and comes in discrete packets called quanta?

Accepted Answer

Max Planck

Question 18

A microwave oven operates at a frequency of $$2.45 	imes 10^9$ Hz. What is the wavelength of the microwaves produced?

Accepted Answer

$$1.22 	imes 10$$^{-1}$$ m

Question 19

Which of the following best explains why each element has a unique line spectrum?

Accepted Answer

Each element has a unique arrangement of electrons, resulting in specific energy transitions.

Question 20

Which of the following is NOT a property of a wave?

Accepted Answer

Mass

Electronic Structure of Atoms: Electromagnetic Radiation and Atomic Spectra

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