A Longitudinal Wave Is Represented by the Equation Z(z, T)

question 20

Multiple Choice

A longitudinal wave is represented by the equation z(z, t) = −2.0 cm sin(1,200 rad/s t − 20 m⁻¹ z) . Another longitudinal wave is represented by the equation z(z, t) = +2.0 cm sin(1,200 rad/s t + 20 m⁻¹ z) . What is the equation that represents the superposition of the two waves?

• A) z(z, t) = -4.0 cm cos(1,200 rad/s t) sin(20 m−1 z)
• B) z(z, t) = +4.0 cm cos(1,200 rad/s t) sin(20 m⁻¹ z)
• C) z(z, t) = +4.0 cm cos(1,200 rad/s t) cos(20 m⁻¹ z)
• D) z(z, t) = −2.0 cm cos(1,200 rad/s t) sin(20 m⁻¹ z)

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Definitions:

Negative Thinking

A cognitive pattern where an individual consistently perceives situations or experiences in a pessimistic or detrimental manner.

Learned Helplessness

A condition in which a person suffers from a sense of powerlessness, arising from a traumatic event or persistent failure to succeed, believed to be beyond their control.

Passive Resignation

A behavioral response characterized by a willingness to accept or submit to a situation or process without active resistance or protest.

Pessimistic Explanatory Style

A tendency to explain negative events as being inevitable and due to internal, stable, and global factors.