Three Traveling Sinusoidal Waves Are on Identical Strings, with the Same

question 10

Multiple Choice

Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y₁(x,t) = y_msin(3x - 6t) , y₂(x,t) = y_msin(4x - 8t) , and y₃(x,t) = y_msin(6x - 12t) , where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below.

• A) y₁: i, y₂: ii, y₃: iii
• B) y₁: iii, y₂: ii, y₃: i
• C) y₁:i, y₂: iii, y₃: ii
• D) y₁: ii, y₂: i, y₃: iii
• E) y₁: iii, y₂: i, y₃: ii

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Definitions:

Experimental Studies

Research methodologies that involve the manipulation of variables to observe the effect on another variable, typically within a controlled environment.

Causality

The relationship between cause and effect where one event (the cause) leads to the outcome (the effect), fundamental to scientific and philosophical inquiry.

Longitudinal Research

A research design that involves repeated observations of the same variables, such as people or situations, over a period of time, ranging from several years to decades.

Observing

The act of carefully watching someone or something, often to gain information.