Final answer:
To find the frequency of a microwave with a wavelength of 350 nm, we use the formula f = c / λ, where c is the speed of light. After converting the wavelength to meters, we calculate the frequency to be approximately 8.57 × 10¹⁴ Hz.
Step-by-step explanation:
The student has asked a question related to electromagnetic waves and is seeking to find the frequency of a microwave given its wavelength and the speed of light. To solve this, we use the equation c = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength. By rearranging this equation to solve for frequency, we get f = c / λ.
To calculate the frequency of a microwave with a wavelength of 350 nm, we first convert the wavelength to meters (since the speed of light is given in meters per second) by dividing by 10⁹ (because there are 1 billion nanometers in a meter). Therefore, 350 nm is equivalent to 350 x 10⁻⁹ m. Plugging into the equation:
f = 3.0 × 10⁸ m/s / (350 × 10⁻⁹ m)
f = 3.0 × 10⁸ / 350 × 10-9
f = (3.0 / 350) × 10(8 + 9)
f = 8.57 × 10¹⁴ Hz
Thus, the frequency of microwave with a wavelength of 350 nm is approximately 8.57 × 10¹⁴ Hz.