Question

1. In an experiment to study standing waves, you use a string whose mass per length is µ = (1.8 ± 0.1) × 10−3kg/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 = 1 2f s T µ .

You make a plot with L on the y-axis and √ T on the x-axis, and find that the best fitting line is y = (8.3 ± 0.3) × 10−3 x + (0.2 ± 0.4). in SI units.

What is the value of the frequency of the wave (including the error)? Express your result in SI units (Hz).

2. Two quantities p and q are related as sin p cos q = 2π p π/α (11.2) You plot sin p vs. cos q, and find the best fit line: y = (3.2 ± 0.1)x + (0.5 ± 1.5) (11.3) Calculate α including the error.

Answer 1