Three charged particles of each mass $0.1 \mathrm{~g}$ and charge ' $\mathrm{q}$ ' are suspended from a…

Three charged particles of each mass $0.1 \mathrm{~g}$ and charge ' $\mathrm{q}$ ' are suspended from a common rigid point by insulated massless threads of each $1 \mathrm{~m}$ long. If the three particles are in equilibrium and are located at the corners of an equilateral triangle of side $3 \mathrm{~cm}$, the charge ' $q$ ' on each particle is ____ $\mathrm{nC}$. (The angle made by the line joining the centroid of the triangle and the point of suspension with the vertical is very small). (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ and $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}$ )
  1. $100$
  2. $10$
  3. $1$
  4. $0.1$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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