Question #9a881

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Question #9a881

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Answer 1 · 2016-06-11T11:40:38

$0.88 s$ $0.88s$

Explanation:

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

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

$T = \frac{\frac{44}{1000}}{0.05} = 0.88 s$ $T=(44/1000)/0.05=0.88s$

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Question #9a881

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