In Trying to Model the Response to a Stimulus, Psychologists $r=s_{0}+k \ln \left|\frac{r_{0}}{r}\right|$

question 108

Multiple Choice

In trying to model the response to a stimulus, psychologists use the Weber Fechner Law.This law states that the rate of change of a response, r, with respect to a stimulus, s, is inversely proportional to the stimulus.Model this law as a differential equation.What is the solution to the differential equation with the initial condition that r(s₀) = r₀ for some initial stimulus, s₀?

• A) \(r=s_{0}+k \ln \left|\frac{r_{0}}{r}\right|\)
• B) \(r=s_{0}+k \ln \left|\frac{r}{r_{0}}\right|\)
• C) \(r=r_{0}+k \ln \left|\frac{s_{0}}{s}\right|\)
• D) \(r=r_{0}+k \ln \left|\frac{s}{s_{0}}\right|\)

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Definitions:

Connector

An individual or tool that links people with each other or links concepts, resources, or systems together facilitating interaction or understanding.

Weak Tie

A connection or relationship between individuals in a social network that is not strong, frequent, or emotionally close, but can provide new insights and opportunities because of its diversity.

Type Of Power

A classification within social and organizational settings that refers to the ability or capacity of an individual or group to influence the behavior of others, typically categorized into various forms such as coercive, legitimate, expert, referent, and reward power.

Referent

An entity or aspect that a word or phrase denotes or refers to, in the context of linguistics and semiotics.