Question bank/JEE Main/Physics

A transverse sinusoidal wave move along a string in the positive
x-direction at a speed 5cm/s. The wavelength of the wave 0.2m and its
amplitude is 5cm. At given instant velocity of P is
[IMAGE] when its displacement is 2.5 cm. Which of the
following is correct?

A$\overset{\rightarrow}{\text{v}} \cdot \overset{\rightarrow}{\text{a}} = \frac{2\sqrt{3}}{32}\pi^{3}\text{cm}^{2}/\text{s}^{3}$B$\overset{\rightarrow}{\text{v}} \cdot \overset{\rightarrow}{\text{a}} = \frac{25\sqrt{3}}{3}\pi^{3}\text{cm}^{2}/\text{s}^{3}$C$\overset{\rightarrow}{\text{v}} \cdot \overset{\rightarrow}{\text{a}} = \frac{25\sqrt{5}}{32}\pi^{3}\text{cm}^{2}/\text{s}^{3}$

Show answer and solution▾

Source: Grass-G / P-09 Physics paper 26 October.docx