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# 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.