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

The Correct Option is A

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