Light & the Electromagnetic Spectrum — Drills · Grade 12 Science

Chapter: Waves, Sound & Optics

What these drills covers

By the end of Light & the Electromagnetic Spectrum you should be able to:

6 questions, multiple choice, numeric and written answer, each with a worked explanation.

Vocabulary used: electromagnetic (EM) wave, electromagnetic spectrum, speed of light (c), photon, wave-particle duality, Planck's constant (h).

Problem 1

Light is best described as a(n) __________ wave that can travel through empty space.
  1. electromagnetic
  2. pressure
  3. longitudinal
  4. sound
Answer and explanation

electromagnetic

Light is an electromagnetic wave of oscillating electric and magnetic fields, needing no medium.

Problem 2

Which type of electromagnetic wave has the LONGEST wavelength?
  1. gamma rays
  2. radio waves
  3. visible light
  4. X-rays
Answer and explanation

radio waves

Radio waves sit at the long-wavelength, low-energy end of the electromagnetic spectrum.

Problem 3

A microwave has a frequency of 3 × 10⁹ Hz. Using c = 3 × 10⁸ m/s, find its wavelength.
Answer and explanation

0.1 m

λ = c ÷ f = (3 × 10⁸) ÷ (3 × 10⁹) = 0.1 m.

Problem 4

An infrared photon has a frequency of 3 × 10¹⁴ Hz. Using h = 6.63 × 10⁻³⁴ J·s, find its energy in joules.
Answer and explanation

1.989e-19 J

E = h f = (6.63 × 10⁻³⁴) × (3 × 10¹⁴) = 1.989 × 10⁻¹⁹ J.

Problem 5

What is the photoelectric effect, and what does it reveal about the nature of light?
Answer and explanation

The photoelectric effect is light knocking electrons out of a metal surface. It only works when the light's frequency is high enough, no matter how bright a lower-frequency light is. This shows light delivers energy in discrete packets (photons) whose energy depends on frequency (E = h f) — evidence for light's particle nature.

Problem 6

Violet light has a wavelength of 4 × 10⁻⁷ m. Using c = 3 × 10⁸ m/s, find its frequency.
Answer and explanation

750000000000000 Hz

f = c ÷ λ = (3 × 10⁸) ÷ (4 × 10⁻⁷) = 0.75 × 10¹⁵ = 7.5 × 10¹⁴ Hz.

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