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The equation of a transverse wave travel...

The equation of a transverse wave travelling along a string is given by
`y=0.4sin[pi(0.5x-200t)]` where `y` and `x` are measured in cm and `t` in seconds. Suppose that you clamp the string at two points `L` cm apart and you observe a standing wave of the same wavelength as above transverse wave. For what values of `L` less than `10 cm` is this possible?

A

`2cm`

B

`4cm`

C

`9cm`

D

`8cm`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`K=0.5pi=(2pi)/(lamda)implieslamda=4cm`

`implies L=(lamda)=2cm`
`impliesL=lamda=4cm`
`impliesL=(3lamda)/2=6cm`
`impliesL=2lamda=8cm`
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