When light enters from air into a medium, its speed changes. Which of the following properties of light remains constant during this transition?
- (a)Wavelength
- (b)Frequency
- (c)Speed
- (d)Amplitude
Answer
Why
Correct — B. Frequency is set by the source, not by the medium the light travels through.
At the boundary, every crest that arrives from the air must continue into the new medium, so the number of crests passing per second cannot change → option (b).
What changes follows from v = fλ: with f fixed, a lower speed means a proportionally shorter wavelength.
Why the others are wrong
- (a)Wavelength — Wavelength changes with speed. With f fixed in v = fλ, light entering glass (n ≈ 1.5) slows to about 2 × 10⁸ m/s and its wavelength shrinks by the same factor, 1.5.
- (c)Speed — Speed is the property the stem itself says changes. In a medium v = c⁄n, so in water (n ≈ 1.33) light travels at about 2.25 × 10⁸ m/s instead of 3 × 10⁸ m/s.
- (d)Amplitude — Amplitude is not protected at a boundary. Part of the light is reflected at the surface and part absorbed inside the medium, so the transmitted wave usually has a smaller amplitude.
Concept
Refraction is the bending of light as it passes from one medium into another, and it happens because light changes speed at the boundary.
The refractive index of a medium is n = c⁄v, light's speed in vacuum divided by its speed in the medium. Air is close to 1, water about 1.33, glass about 1.5.
Since frequency stays fixed, the wavelength inside a medium is the vacuum wavelength divided by n.
Colour is tied to frequency, so light does not change colour when it enters water or glass, even though its wavelength there is shorter. Sound obeys the same rule: its frequency stays fixed across a boundary while its speed and wavelength change.
Key facts
- On refraction, frequency stays the same while speed and wavelength change.
- v = fλ links speed, frequency and wavelength.
- Refractive index n = c⁄v: about 1.33 for water and about 1.5 for glass.
- The speed of light in vacuum is about 3 × 10⁸ m/s.
Study next
Common traps
- Choosing wavelength because a wave's 'size' seems fixed: wavelength shrinks in step with speed.
- Assuming frequency falls because the light slows down: speed and wavelength fall together while frequency stays put.
The same rule for sound is asked at 15 Sep 2025, 12:30, GA Q.16 (keyed: frequency unchanged, wavelength varies from air into water), and v = fλ as a sum at 16 Sep 2025, 16:00, GA Q.18 (340 ÷ 680 = 0.5 m).
Related PYQs
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