Question

Three particles A, B and C each of mass $m$ are lying at the corners of an equilateral triangle of side $l$. If the particle A is released keeping the particles B and C fixed, the magnitude of instantneous acceleration of A is

• A. $\sqrt{3}\frac{G{m}^2}{L^2}$
• B. $\sqrt{2}\frac{G{m}^2}{L^2}$
• C. $\sqrt{2}\frac{Gm}{L^2}$
• D. $\sqrt{3}\frac{Gm}{L^2}$

Answer 1

The correct option is D $\sqrt{3}\frac{Gm}{L^2}$

$F$ acc on $A=\frac{\sqrt{3}G{M}^2}{l^2}$

$\therefore acc=\frac{F}{M}\frac{\sqrt{3}GM}{l^2}$

Hence$,$ option $\left(D\right)$ is correct$.$