Question

$OABC$ is a current-carrying square loop. An electron is projected from the centre of the loop along with its diagonal $AC$ as shown. The unit vector in the direction of initial acceleration is

• A. $\hat{ k }$
• B. $- \left(\frac{\hat{\text{i}} + \hat{\text{j}}}{\sqrt{2}}\right)$
• C. $- \hat{ k }$
• D. $\frac{\hat{i}+\hat{j}}{\sqrt{2}}$

Answer 1

Answer: (B)

$\overset{ \rightarrow }{\text{F}} = - \text{e} \left(\overset{ \rightarrow }{\text{V}} \times \overset{ \rightarrow }{\text{B}}\right)$
Force will be along $BO$ , or unit vector $= - \frac{\left(\right. \hat{\text{i}} + \hat{\text{j}} \left.\right)}{\sqrt{2}}$