## Essential University Physics: Volume 1 (3rd Edition)

a) The next higher frequency is: $140 \times 2 = 280\ Hz$ b) When the string is clamped, the equation changes from $f=\frac{v}{2}$ to $f=\frac{v}{4}$. Thus, we multiply the original fundamental frequency by 1/2 to find: $=140 \times .5 = 70 \ Hz$ c) The next highest frequency is: $=70 \times (2+1)=210\ Hz$