What is the relationship between wavelength and frequency?

• A. They are proportional
• B. They are inversely related
• C. They have no relation
• D. Frequency increases as wavelength increases

Answer: (B)

The correct answer highlights that wavelength and frequency are inversely related, which is a fundamental principle in wave physics. This means that as the wavelength of a wave increases, its frequency decreases, and vice versa. This relationship can be quantitatively described by the equation ( v = f \lambda ), where ( v ) is the speed of the wave, ( f ) is the frequency, and ( \lambda ) (lambda) is the wavelength.

In this context, if the speed of light is constant, an increase in wavelength results in a decrease in frequency, because the wave must travel the same distance in the same amount of time. This inverse relationship is crucial for understanding various phenomena in the electromagnetic spectrum, such as the behavior of different types of electromagnetic radiation, including radio waves, visible light, and gamma rays.

Understanding this relationship is essential for fields such as telecommunications, optics, and quantum physics, where manipulating wavelength and frequency directly impacts technology and theoretical applications.