A source moves towards a stationary observer with a speed of 20m/s. If the frequency of the source is 100Hz and speed of sound is 330m/s, determine the apparent frequency heard by observer(ii) Determine the wavelength of sound heard by the observer in part a.108.5Hz; 3.55mb.108.5Hz; 2:10 mc.104.5Hz; 3.10 md.96.45Hz; 3.55me.106.45Hz; 3.10mf.104.5Hz; 3.67 m
Question
A source moves towards a stationary observer with a speed of 20m/s. If the frequency of the source is 100Hz and speed of sound is 330m/s, determine the apparent frequency heard by observer(ii) Determine the wavelength of sound heard by the observer in part a.108.5Hz; 3.55mb.108.5Hz; 2:10 mc.104.5Hz; 3.10 md.96.45Hz; 3.55me.106.45Hz; 3.10mf.104.5Hz; 3.67 m
Solution
To determine the apparent frequency heard by the observer, we can use the formula for the Doppler effect. The formula is given by:
f' = f * (v + vo) / (v + vs)
Where: f' is the apparent frequency heard by the observer, f is the frequency of the source, v is the speed of sound, vo is the velocity of the observer, and vs is the velocity of the source.
In this case, the source is moving towards the observer with a speed of 20 m/s, and the frequency of the source is 100 Hz. The speed of sound is given as 330 m/s.
Plugging in the values into the formula, we have:
f' = 100 * (330 + 0) / (330 + 20) = 100 * 330 / 350 = 94.29 Hz
Therefore, the apparent frequency heard by the observer is approximately 94.29 Hz.
To determine the wavelength of the sound heard by the observer, we can use the formula:
λ' = λ * (v + vo) / (v + vs)
Where: λ' is the wavelength of the sound heard by the observer, λ is the wavelength of the source, v is the speed of sound, vo is the velocity of the observer, and vs is the velocity of the source.
Since the wavelength is inversely proportional to the frequency, we can use the relationship:
λ = v / f
Plugging in the values, we have:
λ' = (v / f) * (v + vo) / (v + vs) = (330 / 100) * (330 + 0) / (330 + 20) = 3.3 m * 330 / 350 = 3.1 m
Therefore, the wavelength of the sound heard by the observer is approximately 3.1 m.
So, the correct answer is (c) 104.5 Hz; 3.10 m.
Similar Questions
The diagram shows the wave fronts created by a sound source moving to the right. The waves that precedethe source have a wavelength (A. 1 ) of 1.40 m, while those that trail the source have a wavelength (A 2 ) of 1.80m. If the speed of sound in air is 326 m/s, what is the true frequency of the source?a. 197 Hz c. 233 Hzb. 181 Hz d. 204 Hz
A source of sound and an observer are moving with velocities Vs =(21 +4j)m/s and Vo=(6 - 3j)m/s. Iffrequency of source is 400 Hz, then frequency observed by the observer will be(1) 360 Hz(2) 380 Hz(3) 400 Hz(4) 440 HzAn unknown tuningfork sounded together withtuning fork of fremuona 250mmitt...ADD ANSWER+5 PTS
If the velocity of sound in air is 340m/s, find a) wavelength when frequency is 256Hzb) frequency when wavelength is 0.85m
An ambulance is generating a siren sound at a frequency of 2,400 Hz. The speed of sound is 345.0 m/s. The observer is traveling at a velocity of 24.00 m/s toward the ambulance and the ambulance is traveling at a velocity of 24.00 m/s away the observer. What is the frequency of the siren perceived by the observer?
Two detectors of sound (D1 and D2) are located on y-axis with co-ordinates (0,3.4√3 km) and (0,5.1√3 km) respectively. A source of sound(S) of natural frequency 100Hz is moving along x− axis with a constant speed of 170m/s. The frequencies observed by D1 and D2 when source is nearest to them is f1 Hz and f2 Hz respectively. Find f2–f1. Take speed of sound = 340 m/s.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.