Question

A particle of specific charge $\frac{q}{m}=\pi Ckg^{-1}$ is projected the origin towards positive x-axis with the velocity 10ms-1 in a uniform magnetic field $\overrightarrow{B}=-2\hat{k}T$. The velocity $\overrightarrow{v}$ of particle after time $t=\frac{1}{12}s$ will be ( in ms-1 )

• A. $5(\hat{i}+\hat{j})$
• B. $5(\hat{i}+\sqrt{3}\hat{j})$
• C. $5(\sqrt{3}\hat{i}-\hat{j})$
• D. $5(\sqrt{3}\hat{i}+\hat{j})$

Answer 1

Answer: (D)

$5(\sqrt{3}\hat{i}+\hat{j})$

Answer 2

The correct answer is Option (D) : $5(\sqrt{3}\hat{i}+\hat{j})$