Calculate the frequency of yellow light of wavelength 550 nm. The speed of light is `3 xx 10^(8) ms^(-1)`.

Explanation

To calculate the frequency of yellow light with a wavelength of 550 nm, we can follow these steps:

### Step 1: Convert the wavelength from nanometers to meters
The given wavelength is 550 nanometers (nm). We need to convert this to meters (m) for our calculations.

\[ \text{Wavelength} (\lambda) = 550 \, \text{nm} = 550 \times 10^{-9} \, \text{m} \]

### Step 2: Use the formula to calculate frequency
We know the relationship between the speed of light (c), wavelength (\(\lambda\)), and frequency (f) is given by the formula:

\[ f = \frac{c}{\lambda} \]

Where:
- \(c\) is the speed of light, which is \(3 \times 10^8 \, \text{m/s}\)
- \(\lambda\) is the wavelength in meters.

### Step 3: Substitute the values into the formula
Now we can substitute the values of \(c\) and \(\lambda\) into the formula:

\[ f = \frac{3 \times 10^8 \, \text{m/s}}{550 \times 10^{-9} \, \text{m}} \]

### Step 4: Perform the calculation
Now, we will perform the division:

\[ f = \frac{3 \times 10^8}{550 \times 10^{-9}} = \frac{3 \times 10^8}{5.5 \times 10^{-7}} = \frac{3}{5.5} \times 10^{8 + 7} = \frac{3}{5.5} \times 10^{15} \]

Calculating \(\frac{3}{5.5}\):

\[ \frac{3}{5.5} \approx 0.545 \]

Thus,

\[ f \approx 0.545 \times 10^{15} \, \text{Hz} = 5.45 \times 10^{14} \, \text{Hz} \]

### Final Answer
The frequency of yellow light with a wavelength of 550 nm is approximately:

\[ f \approx 5.45 \times 10^{14} \, \text{Hz} \]

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