The correct response is:
It will become one third of its original value.
This is based on the relationship between the speed of a wave, its frequency (f), and its wavelength (λ), given by the equation:
\[ v = f \cdot λ \]
Where:
- \( v \) is the speed of the wave (which remains constant for a given medium),
- \( f \) is the frequency,
- \( λ \) is the wavelength.
If the wavelength is tripled, to maintain the constant speed of the wave, the frequency must decrease. Since wavelength and frequency are inversely related, if you triple the wavelength, the frequency must reduce to one third of its original value to keep the speed constant.
1 answer