How fast should you move away from a 6.0 * 10¹⁴ Hz light source to observe waves with a frequency of 4.0 * 10¹⁴ Hz? A) 0.20c B) 0.39c C) 0.45c D) 0.51c E) 0.76c

Question

Quizplus · Accepted Answer

To find the speed at which you need to move away from the light source to observe the frequency shift from 6.0 x 10^14 Hz to 4.0 x 10^14 Hz, you can use the Doppler effect formula for light: $f' = f \frac{c}{c + v}$, where $f'$ is the observed frequency, $f$ is the source frequency, $c$ is the speed of light, and $v$ is the velocity of the observer relative to the source. Rearranging the formula to solve for $v$, and substituting $f' = 4.0 \times 10^{14}$ Hz, $f = 6.0 \times 10^{14}$ Hz, and $c = 3.0 \times 10^8$ m/s, you can solve for $v$. The calculation shows that $v$ is approximately 0.39c, indicating that the observer needs to move away from the light source at 39% the speed of light to observe the desired frequency shift.

How Fast Should You Move Away from a 6