Tensile force F 0 is applied to the ends of a horizontal string. A graph of transverse position of the string vs its X-coordinate is plotted (shown in figure below). And then a wave is sent through

Question

Tensile force F 0 ​ is applied to the ends of a horizontal string. A graph of transverse position of the string vs its X-coordinate is plotted (shown in figure below). And then a wave is sent through it.

TestHub · Accepted Answer

For small slopes the tension magnitude stays $T_{0}$ ; its transverse component is $T_{y} = T_{0} \frac{d y}{d x}$ , i.e. proportional to the slope of the given y-x graph.

Reading the slope of the plotted shape segment by segment gives the $T_{y}$ vs x dependence of option (A).

The transverse force on each element, $dT_{y} = T_{0} \frac{d ^{2} y}{d x ^{2}} d x$ , must be supplied by the applied forces; the distribution matching the curvature of the given shape is option (C).

Hence A, C.

Physics - Wave on String Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion