Standing waves on a 1.3 \ m long string that is fixed at both ends are seen at successive...


Standing waves on a {eq}1.3 \ m {/eq} long string that is fixed at both ends are seen at successive frequencies of {eq}36 \ Hz {/eq} and {eq}54 \ Hz {/eq}.

(a) What is the fundamental frequency?

(b) What is the wave speed?

Standing Wave on a String

The frequency of a standing wave on a stretched string tied at both ends is given by, {eq}f_n = n f {/eq}, where

  • n is the number of harmonics of the standing wave
  • f is the fundamental frequency, which is given by, {eq}f = \dfrac{v}{2 l} {/eq}, where
  • v is the speed of the wave on the string
  • l is the length of the string

Answer and Explanation: 1

Become a member to unlock this answer!

View this answer

Given :

The length of the string is, l = 1.3 m

The successive frequencies of the standing wave on this string are, 36 H and 54 Hz

Part (a)

Let the...

See full answer below.

Learn more about this topic:

Standing Wave: Definition, Equation & Theory


Chapter 5 / Lesson 19

Standing waves are a result of wave interference. Explore the lesson to learn about the properties of standing waves, find their formulas, and see some examples.

Related to this Question

Explore our homework questions and answers library