Question

A charged cork ball having mass $1$ gram and charge $q$ is suspended on a light string in a uniform electric field as shown in the figure. The ball is in equilibrium at $\theta ={37}^o$, when value of electric field is $\overrightarrow{E}=(3\hat{i}+5\hat{j})\times {10}^{5}N?C$. Assume $T$ as tension in the string.
Which of the following options are correct? (Given: $\sin {37}^o=0.60$ and $g=10m/s^2$)

• A. $q=11\times {10}^{-9}C$
• B. $T=5.55\times {10}^{-3}N$
• C. $q=12\times {10}^{-9}C$
• D. $q=4.55\times {10}^{-3}N$

Answer 1

Answer: (A), (B)

The correct options are
A $q=11\times {10}^{-9}C$
B $T=5.55\times {10}^{-3}N$