?

Waves and Sounds

Free Version

Upgrade subject to access all content

Difficult

Tension and String Length

WAVES-QVHUGT

A child-size guitar has strings $\frac{3}{4}$ the length of a regular guitar but it is strung with regular guitar strings. The child-size guitar is tuned the same as a regular length guitar (that is, the strings produce the same frequency of sound).

Is the tension in the strings greater or less than in the strings of a regular length guitar strings and, if so, by what factor?

A

Tension is reduced by a factor of $ \frac {3}{4}$

B

Tension is increased by a factor of $ \frac {4}{3}$

C

Tension is reduced by a factor of $ \frac {9}{16}$

D

Tension is increased by a factor of $ \frac {16}{9}$

E

The tension is the same because the wave frequencies are the same.