For a Transverse Wave on a String the String Displacement

question 57

Multiple Choice

For a transverse wave on a string the string displacement is described by y(x,t) = f(x-at) where f is a given function and a is a positive constant.Which of the following does NOT necessarily follow from this statement?

• A)The shape of the string at time t = 0 is given by f(x).
• B)The shape of the waveform does not change as it moves along the string.
• C)The waveform moves in the positive x direction.
• D)The speed of the waveform is a.
• E)The speed of the waveform is x/t.

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Definitions:

Controlled Experiments

Experimental designs in which researchers manipulate variables under controlled conditions to determine cause and effect.

Correlation

A mutual relationship or connection between two or more things, where one does not necessarily cause the other.

Causal Relationship

A connection between two events where one is the effect of the other or happening as a result of the other.

Argument by Analogy

A form of reasoning that compares two different situations or things to draw a conclusion about their similarities.