Relationship between frequency
(V) wavelength
(lambda) and velocity of light
(c) is

Options

A. `c=v/lambda`
B. `c=v lambda`
C. `c=v+lambda`
D. `c=v-lambda`

Answer

To find the relationship between frequency (ν), wavelength (λ), and the velocity of light (c), we can follow these steps:

### Step 1: Understand the Definitions
- **Frequency (ν)**: The number of waves that pass a point in one second, measured in hertz (Hz).
- **Wavelength (λ)**: The distance between two consecutive peaks (or troughs) of a wave, measured in meters (m).
- **Velocity of Light (c)**: The speed at which light travels in a vacuum, approximately \(3.00 \times 10^8\) meters per second (m/s).

### Step 2: Write the Relationship
The relationship between these three quantities can be expressed with the formula:
\[ c = ν \times λ \]

### Step 3: Rearranging the Formula
From the formula \( c = ν \times λ \), we can derive:
- To find frequency:
\[ ν = \frac{c}{λ} \]
- To find wavelength:
\[ λ = \frac{c}{ν} \]

### Step 4: Conclusion
Thus, the relationship between frequency, wavelength, and the velocity of light can be summarized as:
\[ c = ν \times λ \]