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:

Rational Consumer

An assumption in economics that consumers aim to maximize their utility or satisfaction from consumption choices, given their budget constraints.

Cobb-Douglas Utility Function

A specific form of utility function used in economics to represent preferences, where utility is derived from a combination of goods, typically modeled with constants representing the elasticity of substitution between those goods.

Real Interest Rate

The interest rate that has been adjusted to remove the effects of inflation, reflecting the real cost of borrowing.

Consumption

The action of using up a resource or goods, often referring to the rate at which consumers purchase and use products and services.