A source traveling at 100m/s emits sound waves of frquency 900hz ..what is the velocity of the sound ?
To find the velocity of sound in this scenario, we need to consider the Doppler effect. The Doppler effect is the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the source of the waves. It applies to all types of waves, including sound.
In this case, we have a source that is moving at a velocity of 100 m/s and emitting sound waves with a frequency of 900 Hz. We want to find the velocity of the sound.
The general formula for the Doppler effect can be written as:
f' = f * (v + v_obs) / (v + v_source),
where f' is the observed frequency, f is the source frequency, v_obs is the velocity of the observer, and v_source is the velocity of the source.
In this case, the observer is assumed to be stationary, so v_obs = 0. The formula can then be simplified to:
f' = f * v / (v + v_source).
Plugging in the values, we have:
f' = 900 Hz * 100 m/s / (100 m/s + v_source).
Assuming the velocity of sound is v_sound, we can set up the equation:
900 Hz * 100 m/s / (100 m/s + v_source) = v_sound.
Next, we need to rearrange the equation to solve for v_sound:
v_sound = 900 Hz * 100 m/s / (100 m/s + v_source).
At this point, we need to know the value of v_source in order to calculate the velocity of sound precisely. Without that information, we cannot determine the exact velocity of the sound.