Two identical beads each have a mass m and charge q. When placed in a hemispherical bowl of radius R with frictionless, nonconductive walls, the beads move, and at equilibrium the distance between them is R (Fig.). Determine the charge on each bead.

\[R{{\left( \frac{mg}{{{k}_{e}}\sqrt{2}} \right)}^{1/2}}\]

\[R{{\left( \frac{mg}{{{k}_{e}}\sqrt{3}} \right)}^{1/2}}\]

\[R{{\left( \frac{mg}{{{k}_{e}}2\sqrt{3}} \right)}^{1/2}}\]

\[R{{\left( \frac{2\,mg}{{{k}_{e}}\sqrt{3}} \right)}^{1/2}}\]

Two identical beads each have a mass m and charge q. When placed in a

1.	Two identical beads each have a mass m and charge q. When placed in a hemispherical bowl of radius R with frictionless, nonconductive walls, the beads move, and at equilibrium the distance between them is R (Fig.). Determine the charge on each bead.
A.	\[R{{\left( \frac{mg}{{{k}_{e}}\sqrt{3}} \right)}^{1/2}}\]
B.	\[R{{\left( \frac{mg}{{{k}_{e}}\sqrt{2}} \right)}^{1/2}}\]
C.	\[R{{\left( \frac{mg}{{{k}_{e}}2\sqrt{3}} \right)}^{1/2}}\]
D.	\[R{{\left( \frac{2\,mg}{{{k}_{e}}\sqrt{3}} \right)}^{1/2}}\]
Answer» B. \[R{{\left( \frac{mg}{{{k}_{e}}\sqrt{2}} \right)}^{1/2}}\]