Sinusoidal Waves Travel on Five Identical Strings

question 42

Multiple Choice

Sinusoidal waves travel on five identical strings.Four of the strings have the same tension, but the fifth has a different tension.Use the mathematical forms of the waves, gives below, to identify the string with the different tension.In the expressions given below x and y are in centimeters and t is in seconds.

• A)y(x,t)= (2 cm)sin (2x - 4t)
• B)y(x,t)= (2 cm)sin (4x - 10t)
• C)y(x,t)= (2 cm)sin (6x - 12t)
• D)y(x,t)= (2 cm)sin (8x - 16t)
• E)y(x,t)= (2 cm)sin (10x - 20t)

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Definitions:

Common Causes

Factors that consistently contribute to a process's variability; inherent within the process and usually indicative of systemic issues.

Variation

The extent to which data points in a dataset differ from each other and from their average value.

Control Chart

A graphical tool used in process control to display how a process varies over time and to detect whether a process is statistically controlled.

Attributes Data

Qualitative data that is categorized based on attributes or characteristics, rather than numerical values.