Question

Chayse is working on analyzing the electromagnetic spectrum, focusing on ultraviolet rays. He determines that a UV ray has a frequency of 1. 53 × 1016 Hz and a wavelength of 1. 96 × 10-8 m. Are his results reasonable? Explain your answer.

Answer 1

The Chayse results are reasonable because the value of $C$ is very close to its actual value ($\bold {3 \times 10^8 m/s}$).

How to calculate the speed of EM waves?

The speed of EM waves is constant in a vacuum. the speed of a wave is the product of its frequency to its wavelength.

$C = f\lambda$

Where,

$C$-  speed

$f$- frequency = $1.53 \times 10^{16}\rm \ Hz$

$\lambda$ - wavelength = $1.96 \times 10^{-8} {\rm \ m}$

Put the values in the formula,

$C = (1.53 \times 10^{16}\rm \ Hz) \times (1.96 \times 10^{-8} {\rm \ m})\\\\C = 2.99\times 10^-^8 \rm \ m/s$

Therefore, the Chayse results are reasonable because the value of $C$ is very close to its actual value ($\bold {3 \times 10^8 m/s}$).

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