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A String Under Tension Carries Transverse Waves Traveling at Speed

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A string under tension carries transverse waves traveling at speed v.If the same string is under four times the tension,what is the wave speed?


Definitions:

Hypothetical Syllogism

A logical argument consisting of two conditional statements and a conclusion that is logically inferred.

Modus Ponens

A form of deductive reasoning that asserts if a conditional statement "If P, then Q" is accepted as true and P is true, then Q must also be true.

Modus Tollens

A method of logical argument that infers the falsehood of a proposition from the impossibility of its consequence.

Hypothetical Syllogism

A form of reasoning where if the first condition holds, then the second condition must follow, leading to a conclusion if the initial hypothesis is true.

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