A insulating ball carrying a charge of is suspended by a light string from the ceiling

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

3.0\,\text{g}

insulating ball carrying a charge of

+2.0\,\mu\text{C}

is suspended by a

0.50\,\text{m}

light string from the ceiling. When a uniform horizontal electric field is switched on, the string makes an angle of

10^{\circ}

with the vertical and the ball remains at rest. What is the magnitude of the electric field? (a)

1.4\times10^{4}\,\text{N}\!/\!\text{C}

(b)

8.3\times10^{4}\,\text{N}\!/\!\text{C}

(c)

2.6\times10^{3}\,\text{N}\!/\!\text{C}

(d)

2.6\times10^{6}\,\text{N}\!/\!\text{C}