Question

Wavelength of light of frequency 100 Hz

• A. $4 \times {10}^6 m$
• B. $3 \times {10}^6 m$
• C. $2 \times {10}^6 m$
• D. $5 \times {10}^{-5} m$

Answer 1

The Correct Option is B

To determine the wavelength of light with a frequency of 100 Hz, we use the formula relating the speed of light, frequency, and wavelength:

c = \nu \lambda

where:

• c is the speed of light in a vacuum, approximately 3 \times 10^8 \, \text{m/s}.
• \nu is the frequency of the light.
• \lambda is the wavelength of the light.

Given that the frequency \nu is 100 Hz, we can rearrange the formula to solve for the wavelength \lambda:

\lambda = \frac{c}{\nu}

Substituting the given values into the equation:

\lambda = \frac{3 \times 10^8 \, \text{m/s}}{100 \, \text{Hz}}

Calculating this gives:

\lambda = 3 \times 10^6 \, \text{m}

Therefore, the wavelength of light with a frequency of 100 Hz is 3 \times 10^6 \, \text{m}.

Thus, the correct option is: 3 \times 10^6 \, \text{m}.