A particle of charge +q and mass m moving under the influence of a uniform electric field…
Physics · JEE Advanced · NTA Exams — Magnetic Effects of Current and Magnetism
A particle of charge +q and mass m moving under the influence of a uniform electric field \(\mathrm{E} \hat{\mathrm{i}}\) and uniform magnetic field \(\mathrm{B} \hat{k}\) follows a trajectory from P to Q as shown in figure. The velocities at P and Q are \(v \hat{i}\) and \(-2 v \hat{j}\). Which of the following statement(s) is/are correct ?
- \(\mathrm{E}=\frac{3}{4}\left[\frac{\mathrm{mv}^{2}}{\mathrm{qa}}\right]\)
- Rate of work done by the electric field at P is \(\frac{3}{4}\left[\frac{\mathrm{mv}^{3}}{\mathrm{a}}\right]\)
- Rate of work done by the electric field at P is zero
- Rate of work done by both the fields at Q is zero
Answer
(A) E = 3 4 [ mv ^ 2 qa ], (B) Rate of work done by the electric field at P is 3 4 [ mv ^ 3 a ], (D) Rate of work done by both the fields at Q is zero
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- A rectangular loop carrying a current i is placed in a uniform magnetic field B . The area enclosed by the…
- An infinitely long cylinder is kept parallel to a uniform magnetic field B directed along positive z axis…
- For a positively charged particle moving in a x - y plane initially along the x -axis, there is a sudden…
- A charged particle is released from rest in a region of steady and uniform electric and magnetic fields which…
- The correct curve between the magnetic induction (B) along the axis of a long solenoid due to current flow i…
- In a thin rectangular metallic strip a constant current I flows along the positive x -direction, as shown in…
- H + , He + and O ++ all having the same kinetic energy pass through a region in which there is a uniform…
- A particle of mass m and charge q moving with velocity V enters region II normal to the boundary as shown in…
More Magnetic Effects of Current and Magnetism questions · Browse all practice questions