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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.11, Problem 47E

**(a)**

To determine

**To express:** The given variation as equation.

Expert Solution

The equation of the given variation

Inverse variation:

If the quantities

The frequency of vibration of a violin string is inversely proportional to its length.

Mathematically,

Thus, the equation of given variation is

**(b)**

To determine

**To find:** The change in frequency when length of the string is doubled.

Expert Solution

The frequency of the vibration becomes half.

**Given:**

The length of the string is doubled.

**Calculation:**

To calculate frequency for double the length of string, substitute

Here,

Compare equation (1) and equation (2).

Thus, the frequency for double the length becomes half.