P18 085

background image

85.

(a) The frequency at which λ = D is

f

1

=

v

D

=

343 m/s

15.0

× 10

2

m

= 2.29

× 10

3

Hz ,

the frequency at which λ = 10D is f

2

= 2.29

× 10

2

Hz, and the frequency at which λ = 0.1D is

f

3

= 2.29

× 10

4

Hz.

(b) Now, D



= 30.0 cm. The frequency at which λ = D



is f



1

= v/D



= (343 m/s)/(30.0

× 10

2

m) =

1.14

× 10

3

Hz, the frequency at which λ = 10D



is f



2

= 1.14

× 10

2

Hz, and the frequency at which

λ = 0.1D



is f



3

= 1.14

× 10

4

Hz.


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