Question

Observe the graph
E
F
C
B
(A A
G
12
distance (m)->
10
11
9
B
7
6
5
2
3
The time taken by the wave to travel from A to G is 2 s.
a) What is the amplitude of the wave?​

Answer 1

Explanation:

Given wave is y=Acos

2

π

[kx−ωt−α]

Here wave number, k×

2

π

=

λ

2π

giving λ=

k

4

Here k=0.005cm

−1

. Hence

λ=

0.005

4

cm=8m

Maximum velocity V

m

=A×angularvelocity.

Here angular velocity

=dfracπω2=

2

3.14×8

=12.56rad/s

Hence V

m

=0.6×12.56m/s=7.53m/s

Also, to produce stationary waves, the two waves should travel in opposite directions and have same frequency.The wave given by y=Acos

2

π

(kx+ωt−α) fulfils this condition

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