   Chapter 14, Problem 8CQ

Chapter
Section
Textbook Problem

Each of the following statements is related to standing waves on a string. Choose the words that make each statement correct. (i) The harmonic number is equal to the number of [(a) nodes; (b) antinodes]. (ii) The distance from a node to its adjacent antinode is always equal to a [(c) quarter; (d) half] wavelength. (iii) The fundamental frequency has harmonic number [(e) zero; (f) one].

(i)

To determine
The harmonic number equals to the number of nodes or antinodes.

Explanation

Given Info: Standing waves on a string.

The lowest frequency of vibration is called the fundamental frequency of the vibration or the first harmonic.

First harmonic has nodes only at the ends and one anti node at the middle. The number of antinodes in the standing wave pattern gives the number of harmonics...

(ii)

To determine
The distance from a node to its adjacent antinode.

(iii)

To determine
The harmonic number of fundamental frequency.

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