A rocket is moving at a speed of `200ms^(-1)` towards a stationary target. While moving, it emits a wave of frequency 1000 Hz. Some of the sound reaching the target gets reflected back to the racket as an echo. Calculate the frequency of sound as detected by the person at the position of target and frequency of echo as detected by the rocket . Given velocity of sound `=330ms^(-1)`.

Explanation

To solve the problem, we will use the Doppler effect formulas for sound waves. We need to calculate two frequencies: the frequency detected by the stationary target (observer) and the frequency of the echo detected by the rocket.

### Step 1: Calculate the frequency detected by the stationary target

The formula for the frequency detected by a stationary observer when the source is moving towards the observer is given by:

\[
f' = f_0 \left( \frac{v + v_o}{v - v_s} \right)
...