How does the wavelength relate to frequency?

How does the wavelength relate to frequency?

• A. Shorter wavelengths result in lower frequencies
• B. Longer wavelengths result in higher frequencies
• C. Shorter wavelengths result in greater frequencies
• D. Wavelength and frequency are unrelated

Answer: (C)

The relationship between wavelength and frequency is governed by the equation \( c = \lambda f \), where \( c \) is the speed of light, \( \lambda \) represents the wavelength, and \( f \) is the frequency. This equation shows that the speed of light is constant in a vacuum, which means that if the wavelength decreases, the frequency must increase to maintain the equality, and vice versa. Thus, shorter wavelengths indeed correspond to greater frequencies. This means that as the wavelength of a wave gets shorter, the number of cycles (or oscillations) that occur in a given time period increases, resulting in a higher frequency. Therefore, shorter wavelengths resulting in greater frequencies is a fundamental concept in wave physics that accurately reflects how these two characteristics are interconnected.

The relationship between wavelength and frequency is governed by the equation ( c = \lambda f ), where ( c ) is the speed of light, ( \lambda ) represents the wavelength, and ( f ) is the frequency. This equation shows that the speed of light is constant in a vacuum, which means that if the wavelength decreases, the frequency must increase to maintain the equality, and vice versa.

Thus, shorter wavelengths indeed correspond to greater frequencies. This means that as the wavelength of a wave gets shorter, the number of cycles (or oscillations) that occur in a given time period increases, resulting in a higher frequency. Therefore, shorter wavelengths resulting in greater frequencies is a fundamental concept in wave physics that accurately reflects how these two characteristics are interconnected.