Question

A particle having charge Q and mass M = 2m is tied to two identical particles, each having mass m and charge q. The particles are connected with ideal strings of equal length l. The system is held at rest on a smooth horizontal surface (with string taut) in a position where string make an angle of 60° between them. From this position the system is released:

• A. The amplitude of oscillation of M is $\frac{\sqrt{3}}{4}l$
• B. Maximum speed acquired by M is $\frac{q}{4}\sqrt{\frac{1}{\pi \epsilon_0 ml}}$
• C. When all the particles are in straight line, speed of each particle is same.
• D. Tension in string when particles are in straight line is $T = \frac{q}{16\pi \epsilon_0 l^2}(4Q+5q)$

Answer 1

Answer: (A), (B)

A and B

Answer 2

The core explanation provided in the raw solution outlines the reasoning behind each statement. Energy conservation and geometric constraints are key to determining the amplitude and maximum speed. The speeds of the particles are not the same when collinear, and the tension calculation is incorrect.