Question

Two small metallic spheres each of mass m are suspended together with strings of length $l$ and placed together. When a quantum of charge $q$ is transferred to each the strings make an angle of ${90}^o$ with each other. The value of $q$ is

• A. $l/{(}_{o}mg)$
• B. $l/\left({16}_{o}mg\right)$
• C. $l/\left(2_{o}mg\right)$
• D. none of these

Answer 1

The correct option is C $l/\left(2_{o}mg\right)$

Given,

length $=l$

angle $={90}^0$

From the SHM $T=2\pi \sqrt{\frac{l}{g}}$

now, $q=\frac{l}{2.mg}$