Question

Homework 7.2 The sound frequency a listener hear will be shifted to a higher value if the listener is moving towards a stationary source or the sound source is moving towards the stationary listener. However, the shifts are not the same for the same speeds in these two cases. Derive the relationship of the two speeds (speed of the listener and the speed of the sound) for the same frequency shift assuming the sound speed relative to the medium is v. For the same speed, which case has the larger frequency shift?

Answer 1

observe. medium. of Moving Sounce & Stationary observer. Sounce. O velocity (us). general frequency equation : to = Es (c-Vo) (C-vs) Ca sound velocity in Vo=0; Vor observer to = FSC & Es Vsa sarree CVs Irvs velocity fs - Source Soure is moving toward observen; (fsstol Fo= absenes of = fs- to will be regalne Put vabe of to velocity frequency frequency

since in do our question medrum in V. wind speed (y=0) relative Novo - V Vonvo for the same speed [ Vo = Usef) & Schiff when source is - ts moving - Z 6) Shift when observer – – Est is moving towads Sarre - Magnitude of b Case (1) shift [when sauce is moving toward 1 observer o is greater than Case (6) Shift's magnitude. It is because denominator of shift (9) is lower than Shifd (6) 's denomisator