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Chapter 15: Q.10 (page 414)

Suppose the damping constant bof an oscillator increases.

A. Is the medium more resistive or less resistive?

B. Do the oscillations damp out more quickly or less quickly?

C. Is the time constant 蟿increased or decreased?

Short Answer

Expert verified

Because the time constant is inversely proportional to the damping constant, it can be deduced that as the damping constant increases, the "time constant" value 蟿decreases.

Step by step solution

01

Introduction

The oscillation known as a damped oscillation is one that slows down and eventually ceases due to a resisting force.

02

The order of resistivity(part a)

(A)The damping constant reflects the order of resistivity; as the damping constant grows, so does the resistance.

03

Damped oscillation(part B)

(B) Because the medium's resistivity is high, it opposes the oscillations and dampens them out more quickly.

04

Time constant(part C)

(C)The expression for time constant is,

蟿=mb

Here, mis mass and bis damping constant.

Because the time constant is inversely proportional to the damping constant,

"The passage of time remains constant" " 蟿drops as the dissipation constant increases.

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