Question #9a881

1 Answer
Jun 11, 2016

Answer:

#0.88s#

Explanation:

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Distance between two adjacent crests (first and second) is equal to one wavelength #lambda# as shown in the figure. Distance between six adjacent crests will be #5lambda#.
Wavelength of the given wave #lambda=220/5=44mm#
We know the wave equation
#v=nlambda# ....(1)
where #v# is velocity and #n# frequency of wave

We also know that time taken #T# for one cycle of a repeating event, is the reciprocal of the frequency.
#n=1/T#
Equation (1) thus can be written as
#v=1/Tlambda#
#=>T=lambda/v#
Inserting given numbers, convert to SI units

#T=(44/1000)/0.05=0.88s#