Final answer:
The wavelength of the sound is calculated using the distance the man is from the train, the time it takes for him to hear the whistle, and the frequency of the whistle. The speed of sound is first found to be 330 m/s, and the wavelength is then computed to be 1.1 meters.
Step-by-step explanation:
The question deals with the concept of the Doppler effect in physics. When a train blew a whistle of frequency 300 Hz, and a man heard the sound 3 seconds later at a distance of 0.99 km, we can use this information to find the speed of sound, and subsequently, calculate the wavelength of the sound.
First, we convert the distance to meters (990 meters) and find the speed of sound by dividing the distance by time (990 m / 3 s = 330 m/s).
The wavelength (λ) can be calculated using the formula λ = v/f, where v is the speed of sound (330 m/s), and f is the frequency of the sound (300 Hz).
Therefore, λ = 330 m/s / 300 Hz = 1.1 meters.