MCQ
In an experiment to study standing waves, you use a string whose mass per length is $μ$ = $(1.0 ± 0.1) × 10^{-4}\ kg/m$ . You look at the fundamental mode, whose frequency $f$ is related to the length $L$ and tension $T$ of the string by the following equation $L$ = $\frac{1}{{2f}}\sqrt {\frac{T}{\mu }} $ You make a plot with $L$ on the $y-$ axis and $\sqrt T$ on the $x-$ axis, and find that the best fitting line is $y$ = $(8.0 ± 0.3) × 10^{-3}x + (0.2 ± 0.04)$ in $SI\ units$ . What is the value of the frequency of the wave (including the error)? Express your result in $SI\ unit\ (Hz)$
- A$6250 ± 859.8\ Hz$
- B$1250 ± 32.3\ Hz$
- ✓$6250 ± 546.9\ Hz$
- D$4875 ± 287\ Hz$
