JEE Advanced 2025 Paper 1 Online

MCQ (More than One Correct Answer)

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Consider a system of three connected strings, $S_1, S_2$ and $S_3$ with uniform linear mass densities $\mu$ $\mathrm{kg} / \mathrm{m}, 4 \mu \mathrm{~kg} / \mathrm{m}$ and $16 \mu \mathrm{~kg} / \mathrm{m}$, 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 0 is connected to the free end of $S_1$. The wave from the generator is represented by $y=y_0 \cos (\omega t-k x) \mathrm{cm}$, where $y_0, \omega$ and $k$ are constants of appropriate dimensions. Which of the following statements is/are correct:

JEE Advanced 2025 Paper 1 Online Physics - Wave Motion Question 1 English

When the wave reflects from $P$ for the first time, the reflected wave is represented by $y=\alpha_1 \mathrm{y}_0 \cos (\omega t+k x+\pi) \mathrm{cm}$, where $\alpha_1$ is a positive constant.

When the wave transmits through $P$ for the first time, the transmitted wave is represented by $y=\alpha_2 y_0 \cos (\omega t-k x) \mathrm{cm}$, where $\alpha_2$ is a positive constant.

When the wave reflects from $Q$ for the first time, the reflected wave is represented by $y=\alpha_3 \mathrm{y}_0 \cos (\omega t-k x+\pi) \mathrm{cm}$, where $\alpha_3$ is a positive constant.

When the wave transmits through $Q$ for the first time, the transmitted wave is represented by $y=\alpha_4 y_0 \cos (\omega t-4 k x) \mathrm{cm}$, where $\alpha_4$ is a positive constant.

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