No, increasing the frequency of a wave does not increase its wavelength. In fact, frequency and wavelength are inversely proportional to each other in a wave.
The frequency of a wave refers to the number of complete cycles or oscillations it completes in a given time period. It is measured in hertz (Hz), which represents cycles per second. For example, if a wave completes 10 cycles in 1 second, its frequency is 10 Hz.
On the other hand, the wavelength of a wave refers to the distance between two corresponding points on the wave, such as from crest to crest or trough to trough. It is usually denoted by the Greek letter lambda (λ) and is measured in units of length, such as meters (m) or centimeters (cm).
The relationship between frequency and wavelength is described by the wave equation:
v = fλ
where:
- v is the velocity of the wave,
- f is the frequency, and
- λ is the wavelength.
According to this equation, as the frequency of a wave increases, the wavelength decreases proportionally, assuming the wave velocity remains constant. Similarly, if the frequency decreases, the wavelength increases. This relationship holds true for various types of waves, including electromagnetic waves (such as light) and mechanical waves (such as sound).