- #1

whoareyou

- 162

- 2

## Homework Statement

A long string is constructed by joining the ends of two shorter strings. The tension in the strings

is the same but string I has 4 times the linear mass density of string II. When a sinusoidal

wave passes from string I to string II:

A. the frequency decreases by a factor of 4

B. the frequency decreases by a factor of 2

C. the wavelength decreases by a factor of 4

D. the wavelength decreases by a factor of 2

E. the wavelength increases by a factor of 2

## Homework Equations

## The Attempt at a Solution

[itex]\lambda_1f= \sqrt{\frac{\tau}{4\mu}}=\frac{1}{2}\sqrt{\frac{\tau}{\mu}}[/itex]

[itex]\lambda_2f= \sqrt{\frac{\tau}{\mu}}[/itex]

[itex]\therefore \lambda_1 = \frac{1}{2}\lambda_2[/itex]

So shouldn't the answer be E since λ

_{2}= 2λ

_{1}?