Home | | Physics 11th std | Solved Example Problems for Stationary waves

Physics - Solved Example Problems for Stationary waves | 11th Physics : UNIT 11 : Waves

Chapter: 11th Physics : UNIT 11 : Waves

Solved Example Problems for Stationary waves

Physics : Waves - Solved Example Problems for Stationary waves

EXAMPLE 11.20

Compute the distance between anti-node and neighbouring node.

Solution

For nth mode, the distance between anti-node and neighbouring node is


 

EXAMPLE 11.21

Let f be the fundamental frequency of the string. If the string is divided into three segments l1l2 and l3 such that the fundamental frequencies of each segments be f1f2 and f3, respectively. Show that


Solution

For a fixed tension T and mass density µ, frequency is inversely proportional to the string length i.e.


 


EXAMPLE 11.22

Consider a string in a guitar whose length is 80 cm and a mass of 0.32 g with tension 80 N is plucked. Compute the first four lowest frequencies produced when it is plucked.

Solution

The velocity of the wave


The length of the string, L = 80 cm=0.8 m The mass of the string, m = 0.32 g = 0.32 × 10-3kg

Therefore, the linear mass density,


The tension in the string, T = 80 N


The wavelength corresponding to the fundamental frequency f1 is Î»1 = 2L = 2 × 0.8 = 1.6 m

The fundamental frequency f1 corresponding to the wavelength Î»1


Similarly, the frequency corresponding to the second harmonics, third harmonics and fourth harmonics are

f2 = 2f1 = 559 Hz

f3 = 3f1 = 838.5 Hz

f4 = 4f1 = 1118 Hz

 


Tags : Physics , 11th Physics : UNIT 11 : Waves
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
11th Physics : UNIT 11 : Waves : Solved Example Problems for Stationary waves | Physics

Related Topics

11th Physics : UNIT 11 : Waves


Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.