Question

A proton enters a uniform magnetic field (in the x direction) with a strength of $\frac{\pi}{2}$ times its $\left(\frac{m}{q}\right)$ ratio at an angle of $90^\circ$ to the magnetic field. Determine the velocity of the proton after 4 seconds if the initial velocity was $2(\sqrt{3}\hat{i} + \hat{j})$.

• A. $2(\sqrt{3}\hat{i} + \hat{j})$
• B. $-2(\sqrt{3}\hat{i} + \hat{j})$
• C. $2(\sqrt{3}\hat{i} - \hat{j})$
• D. $2(-\sqrt{3}\hat{i} + \hat{j})$

Answer 1

Answer: (A)

$2(\sqrt{3}\hat{i} + \hat{j})$

Answer 2

The correct option is(A): $2(\sqrt{3}\hat{i} + \hat{j})$