9 (a) A standing wave can produce a resonance frequencey. Some times the resonance is useful andsometime it is harmful and dangerous. Explain.(b) A 2.40 m wire has a mass of 7.50 g and is under a tension of 160 N. The wire is held rigidly at bothends and set into oscillation by a frequency that produces a standing wave with a wavelength equal to1.20 m.|(1) What is the speed of waves on the wire?| (ii) What is the frequency used to drive the string into resonance?(ii) Find the number of harmonics (resonant mode) of the standing wave. Also the number and positionsof nodes and antinodes.

Answered: (a) A standing wave can produce a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Question

100%

(a) A standing wave can produce a resonance frequencey. Some times the resonance is useful and
sometime it is harmful and dangerous. Explain.
(b) A 2.40 m wire has a mass of 7.50 g and is under a tension of 160 N. The wire is held rigidly at both
ends and set into oscillation by a frequency that produces a standing wave with a wavelength equal to
1.20 m.
|(1) What is the speed of waves on the wire?
| (ii) What is the frequency used to drive the string into resonance?
(ii) Find the number of harmonics (resonant mode) of the standing wave. Also the number and positions
of nodes and antinodes.

Expert Solution

Step 1

Given information:

Here, l is the wire’s length, m is the wire’s mass, T is the tension in the wire, and λ is the wavelength of the standing wave.

Step 2

(a)

The condition of resonance is very useful in the electronics, in LC oscillator the concept of resonance is used, and also the musical instrument (string-based) produces different harmonics because of the resonance.

The resonance can be harmful in the case of soldiers walking pass over a bridge, the simultaneous movements of the individual soldier set the bridge in resonance, and in the worst case the bride may collapse.

Step 3

(b)

The mass per unit length (µ) of the wire can be calculated as follows.

(i)

Write the formula of the transverse wave on the string and plug the required values to determine the wave’s speed (v) on the wire.

Step by step

Solved in 5 steps with 6 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions