JEE Mains · Physics · STD 12 - Moving charges and magnetism
- JEE Mains 2019
- Medium
- MCQ
A particle of mass \(m\) and charge \(q\) is in an electric and magnetic field given by \(\vec E = 2\hat i + 3\hat j ;\, B = 4\hat j + 6\hat k\) The charged particle is shifted from the origin to the point \(P(x = 1 ;\, y = 1)\) along a straight path. The magnitude of the total work done is
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(5\,q\)
Step-by-step Solution
Detailed explanation
\({{\vec F}_{{\text{net }}}} = d\vec E + q(\vec v \times \vec B)\)
\( = (2q\hat i + 3q\hat i) + q(\vec v \times \vec B)\)
\(W = {{\vec F}_{net}} \cdot \vec S\)
\( = 2q + 3q\)
\( = 5q\)
More questions from Physics
- Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure
JEE Mains 2019 Hard - Which one of the following is the correct dimensional formula for the capacitance in F ? \(\mathrm{M}, \mathrm{L}, \mathrm{T}\) and C stand for unit of mass, length, time and charge,JEE Mains 2025 Easy
- \(\sigma\) is the uniform surface charge density of a thin spherical shell of radius \(R\). The electric field at any point on the surface of the spherical shell is _______.JEE Mains 2024 Hard
- An ideal capacitor of capacitance \(0.2\, μF\) is charged to a potential difference of \(10\,V\). The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance \(0.5\,mH\). The current at a time when the potential difference across the capacitor is \(5\,V\), is.....\(A\)JEE Mains 2018 Hard
- For a transistor to act as a switch, it must be operated inJEE Mains 2022 Medium
- Light is incident from a medium into air at two possible angles of incidence \((A)\, 20^o\) and \((B)\, 40^o\) . In the medium light travels \(3.0\, cm\) in \(0.2\, ns\). The ray willJEE Mains 2013 Hard
More PYQs from JEE Mains
- A wire of length \(2\,L\) is made by joining two wires \(A\) and \(B\) of same lengths but different radii \(r\) and \(2r\) and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire \(A\) is \(p\) and that in \(B\) is \(q\) then the ratio \(p : q\) is
JEE Mains 2019 Hard - The energy dissipated by a resistor is \(10 \,mJ\) in \(1\,s\) when an electric current of \(2\, mA\) flows through it. The resistance is \(....... \Omega\) (Round off to the Nearest Integer)JEE Mains 2021 Easy