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Chapter 16: Q. 1 (page 451)

The wave speed on a string under tension is 200 m/s. What is the speed if the tension is halved?

Short Answer

Expert verified

The new speed of the wave is 141.4 m/s

Step by step solution

01

Step 1. Write the given information

The speed of the wave is given as v= 200m/sec

Thereafter, the tension (T) of the string is halved.

02

Step 2. To determine the speed of wave when tension is halved

The formula for the speed is given as

v=T渭

Here 碌 is the effective mass of the string

The tension is halved,

T鈫�T2

The new speed is given as

v=T/2渭=12T渭v=2002=141.4m/s
Thus, the new speed of the wave is 141.4 m/s

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