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Consider a wave represented by y=cos(500...

Consider a wave represented by `y=cos(500t-70x)` where y is in millimetres, x in metres and t in second. Which of following are true?

A

the wave is a standing wave

B

the speed of the wave is 50/7 `ms^(-1)`

C

the frequency of oscillation is `500xx2piHz`

D

two nearest points in the same phase have separation `20 pi//7 cm`.

Text Solution

Verified by Experts

The correct Answer is:
B

`omega=500=2pif`
`= f=500/(2pi)`
`K=70 =(2pi)/(lambda)`
`rArr lambda=(2pi)/70`
velocity `=lambdaf=(2pi)/70xx500/(2pi)=50/7 m//s`
and `lambda=(2pi)/70 m`
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