A bat is flying at velocity vb. The bat emits a sound wave with frequency f. The

Question

A bat is flying at velocity vb. The bat emits a sound wave with frequency f. The sound wave reflects from a stationary object, and the bat hears the reflected sound. What frequency f ' does the bat hear? In the expressions below, vs is the speed of the source, vo is the speed of the observer, and v is the speed of sound. (In this case, the bat is both the source and the observer, so that |vs| = |vo| = |vb|.)

(a) f ' = f (1 + |vo/v| /1 + |vs/v|)

(b) f '= f (1 |vo/v| / 1 + |vs/v|)

(c) f ' = f (1 + |vo/v| / 1 |vs/v|)

(d) f '= f (1 |vo/v| / 1 |vs/v|)

Explanation / Answer

a) f 0 = f 1 + |vo/v| 1 + |vs/v|

this is correct option

frquency heard by the bat = frequency received by stationery object

= f1(v/(v-vs)

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