Plzz help! A stationary speed gun emits a microwave beam at 2.41x1010 Hz. It
reflects off a pitched baseball and
returns 3190 Hz higher. What is the
speed of the baseball?
(Unit = m/s)

The speed of the baseball is approximately 19.855 m/s

Explanation:

From the question, we have;

The frequency of the microwave beam emitted by the speed gun, f = 2.41 × 10¹⁰ Hz

The change in the frequency of the returning wave, Δf = +3190 Hz higher

The Doppler shift for the microwave frequency emitted by the speed gun which is then reflected back to the gun by the moving baseball is given by 2 shifts as follows;

Where;

Δf = The change in frequency observed, known as the beat frequency = 3190 Hz

= The speed of the baseball

c = The speed of light = 3.0 × 10⁸ m/s

f = The frequency of the microwave beam = 2.41 × 10¹⁰ Hz

By plugging in the values, we have;

The speed of the baseball, ≈ 19.855 m/s