Answer:
(a) [tex]f_{o}*\frac{2P_{w} }{v - P_{w} }[/tex]
(b) [tex]f_{o}*\frac{2P_{w} }{v + P_{w} }[/tex]
Explanation:
(a) In the given problem, the turning fork has a frequency of [tex]f_{o}[/tex]. Then, a woman runs toward the wall with a speed of [tex]P_{w}[/tex]. From the principle of light reflection, the reflection of the sound from the fork reach the woman at a speed of v. Thus, the beat frequency is:
[tex]f_{o}*\frac{2P_{w} }{v - P_{w} }[/tex]
(b) In this part, the woman moves away from the water which is in contrast to part (a). Thus the beat frequency is:
[tex]f_{o}*\frac{2P_{w} }{v + P_{w} }[/tex]