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1. Types of waves 2. The wave equation of motion: y(x,t) = ymsin(kx ...

1. Types of waves 2. The wave equation of motion: y(x,t) = ymsin(kx ...

1. Types of waves 2. The wave equation of motion: y(x,t) = ymsin(kx ...

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Clicker question 6<br />

A standing <strong>wave</strong> vibrates as shown to<br />

the right. If the tension is quadrupled<br />

while keeping the frequency and length<br />

<strong>of</strong> string constant, which standing <strong>wave</strong><br />

pattern is produced?<br />

L<br />

a) b) c)<br />

v = √T/µ = fλ<br />

⇒ λ ∝ √T<br />

no standing <strong>wave</strong><br />

for these conditions<br />

d) e)<br />

⇒ if T quadruples, λ<br />

doubles, and only one<br />

loop can fit inside L<br />

PHYS 1101, Winter 2009, Pr<strong>of</strong>. Clarke 19

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