JEE Mains · Physics · STD 11 - 7. gravitation
Three identical spheres of mass m , are placed at the vertices of an equilateral triangle of length a. When released, they interact only through gravitational force and collide after a time \(\mathrm{T}=4\) seconds. If the sides of the triangle are increased to length 2 a and also the masses of the spheres are made 2 m , then they will collide after _____ seconds.
- A 10
- B 8
- C 6
- D 4
Answer & Solution
Correct Answer
(B) 8
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{T} \propto \mathrm{m}^{\mathrm{x}} \mathrm{G}^{\mathrm{y}} \mathrm{a}^{\mathrm{z}} \\ & \mathrm{T} \propto \mathrm{M}^{\mathrm{x}}\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]^y[\mathrm{~L}]^{\mathrm{z}} \\ & \mathrm{T} \propto…
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