Question

Relationship among the speed of light wave (v), wavelength (λ) and frequency (f) is given by

• A. \(f v = λ\)
• B. \(v f = λ\)
• C. \(λ = fv\)
• D. \(λ =\sqrt{ fv}\)

Answer 1

The Correct Option is B

To understand the relationship among the speed of light wave (\(v\)), wavelength (\(λ\)), and frequency (\(f\)), we utilize the fundamental equation of wave mechanics:

\(v = f \cdot λ\)

This equation indicates that the speed of a wave is the product of its frequency and wavelength. Therefore, to express wavelength in terms of frequency and speed, rearrange the equation:

\(λ = \frac{v}{f}\)

From the options given:

• \(f v = λ\)
• \(v f = λ\)
• \(λ = fv\)
• \(λ = \sqrt{fv}\)

The correct relationship, according to wave mechanics, is: \((v f = λ)\)

Answer 2

The relationship between the speed of a wave \( (v) \), its wavelength \( (\lambda) \), and its frequency \( (f) \) is given by the formula:

\[ v = f \lambda \]

This can also be rearranged as:

• \( \lambda = \frac{v}{f} \)
• \( f = \frac{v}{\lambda} \)

Correct relationship: \[ v = f \lambda \]

Final Answer: \( \lambda = fv \)