Question

An electromagnetic wave has a frequency of 1.0 × 10¹⁴ Hz. What is the wavelength of the wave? Use the equation λ = v/f and the speed of light as 3.0 × 10⁸ m/s.

1) 3.3 × 10⁵ m
2) 3.3 × 10⁻⁸ m
3) 3.0 × 10⁻⁶ m
4) 3.0 × 10²² m

Answer 1

The wavelength of the electromagnetic wave is 3.0 × 10⁻⁶ m.

Step-by-step explanation:

To find the wavelength of the electromagnetic wave, we can use the equation λ = v/f, where λ represents the wavelength, v represents the speed of light, and f represents the frequency.

Given that the frequency of the wave is 1.0 × 10¹⁴ Hz and the speed of light is 3.0 × 10⁸ m/s, we can substitute these values into the equation to solve for the wavelength:

λ = v/f = (3.0 × 10⁸ m/s) / (1.0 × 10¹⁴ Hz)
λ = 3.0 × 10⁻⁶ m

Therefore, the wavelength of the electromagnetic wave is 3.0 × 10⁻⁶ m.