Calculate the frequency of the microwave using the equation wave speed (m/s) = wavelength (m) x frequency (Hz). Give your answer in standard form.

Steps to Solve

1. Outline the wave equation The wave equation relating wave speed ($v$), wavelength ($\lambda$), and frequency ($f$) is given by: $$ v = \lambda \times f $$

2. Rearrange the equation for frequency To find frequency, rearrange the wave equation: $$ f = \frac{v}{\lambda} $$

3. Substitute the values Plug in the values for wave speed and wavelength:

• Wave speed $v = 3.0 \times 10^8 , m/s$
• Wavelength $\lambda = 0.001 , m$

So, we have: $$ f = \frac{3.0 \times 10^8 , m/s}{0.001 , m} $$

4. Calculate the frequency Perform the division: $$ f = 3.0 \times 10^8 \div 0.001 = 3.0 \times 10^{8 + 3} = 3.0 \times 10^{11} , Hz $$

5. Write the answer in standard form The frequency is already in standard form: $$ f = 3.0 \times 10^{11} , Hz $$