Consider a system of three connected strings, S 1 , S 2 and S 3 with uniform linear mass densities μ kg / m , 4 μ kg / m and 16 μ kg / m , respectively, as shown in the figure. S 1 and S 2 a

Question

Consider a system of three connected strings, $S_{1}, S_{2}$ and $S_{3}$ with uniform linear mass densities $μ kg / m, 4 μ kg / m$ and $16 μ kg / m$ , respectively, as shown in the figure. $S_{1}$ and $S_{2}$ are connected at the point $P$ , whereas $S_{2}$ and $S_{3}$ are connected at the point $Q$ , and the other end of $S_{3}$ is connected to a wall. A wave generator O is connected to the free end of $S_{1}$ . The wave from the generator is represented by $y = y_{0} cos (ω t - k x) cm$ , where $y_{0}, ω$ and $k$ are constants of appropriate dimensions. Which of the following statements is/are correct?

TestHub · Accepted Answer

At P, reflection from the denser string is inverted, so A is false.

$v_{2} = v_{1} /2 \Rightarrow k_{2} = 2 k$

Thus the first transmitted wave through P has option B form.

$v_{3} = v_{1} /4 \Rightarrow k_{3} = 4 k$

Thus the first transmitted wave through Q has option D form.

Physics - Wave on String Question with Solution | TestHub

Options:(select one or more)

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