The Doppler Effect: Frequency Change in a Fighter Jet
What change in frequency does the fighter jet observe?
The fighter jet notices a frequency change of 718 Hz from Doppler's effect. The formula to calculate this change in frequency is given by:
f\' = f(1 - u/c)
Here, c stands for the speed of light, u for the speed of the fighter jet, and f for the antenna's broadcast frequency.
Therefore, the change in frequency can be calculated as:
∆f = f(u/c)
Understanding the Doppler Effect and Frequency Change
The Doppler effect is a phenomenon that occurs when there is a relative motion between a wave source and an observer. In this case, the fighter jet is traveling away from the communication antenna, causing a change in frequency due to their relative motion. Doppler Formula: The formula f\' = f(1 - u/c) is used to determine the new frequency observed by the fighter jet. By substituting the given values of f = 410 MHz, u = 525 m/s, and c = 3 x 10⁸ m/s into the formula, we can calculate the change in frequency.Calculating the Change in Frequency: ∆f = (410 x 10⁶ Hz x 525 m/s) / (3 x 10⁸ m/s) ∆f = 71750 x 10⁻² ∆f ≈ 718 Hz Conclusion: As a result of the Doppler effect, the fighter jet observes a change in frequency of approximately 718 Hz. This change is a direct consequence of the relative motion between the jet and the antenna.