Answer
a). $f=\frac{9 beats}{3 sec}=3 Hz$
So, the violin string is off tune by 3.0 Hz
b). The violin string is sounding at frequency of 265 Hz or 259 Hz. If the string frequency is 265 Hz, we need to loosen it but if it is at 259 Hz, we need to tighten it. So, not enough information is given to ascertain the answer.
Work Step by Step
a). $f=\frac{9 beats}{3 sec}=3 Hz$
So, the violin string is off tune by 3.0 Hz
b). The violin string is sounding at frequency of 265 Hz or 259 Hz. If the string frequency is 265 Hz, we need to loosen it but if it is at 259 Hz, we need to tighten it. So, not enough information is given to ascertain the answer.