JEE Mains · Physics · STD 12 - Electric charges and fields
- JEE Mains 2025
- Medium
- MCQ
An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity \(10^6 \mathrm{~m} / \mathrm{s}\). If the magnitude of the electric field between the plates is \(9.1 \mathrm{~V} / \mathrm{cm}\), then the vertical component of velocity of electron is (mass of electron \(=9.1 \times 10^{-31} \mathrm{~kg}\) and charge of electron \(=1.6 \times 10^{-19} \mathrm{C}\) )
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(16 \times 10^6 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \Rightarrow \mathrm{t}=\frac{\ell}{\mathrm{V}_{\mathrm{x}}}=\frac{10 \times 10^{-2}}{10^6}=10^{-7} \\ & \Rightarrow \mathrm{~V}_{\mathrm{y}}=\mathrm{u}_{\mathrm{y}}+\mathrm{a}_{\mathrm{y}} \mathrm{t} \\ & \Rightarrow \mathrm{V}_{\mathrm{y}}=0+\frac{\mathrm{eE}}{\mathrm{m}} \times 10^{-7} \\ & \Rightarrow \mathrm{~V}_{\mathrm{y}}=\frac{1.6 \times 10^{-19}}{9.1 \times 10^{-31}} \times 9.1 \times 10^{-2} \times 10^{-7} \\ & \Rightarrow \mathrm{~V}_{\mathrm{y}}=16 \times 10^6\end{aligned}\)
More questions from Physics
- A block of mass \(10\,kg\) is moving along \(x\)-axis under the action of force \(F=5 x\; N\). The work done by the force in moving the block from \(x =2\,m\) to \(4\,m\) will be ............\(J\).JEE Mains 2023 Medium
- The bulk modulus of a liquid is \(3 \times 10^{10}\, Nm ^{-2}\). The pressure required to reduce the volume of liquid by \(2 \%\) is ........ \(\times 10^{8}\; Nm ^{-2}\)JEE Mains 2022 Medium
- Given below are two statements: Statement \(I\) : A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates \(EM\) waves. Statement \(II\) : In a material medium. The \(EM\) wave travels with speed \(v =\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}\). In the light of the above statements, choose the correct answer from the options given belowJEE Mains 2022 Medium
- The output of the circuit is low (zero) for:
(A) \(\mathrm{X}=0, \mathrm{Y}=0\)
(B) \(X=0, Y=1\)
(C) \(X=1, Y=0\)
(D) \(\mathrm{X}=1, \mathrm{Y}=1\)
Choose the correct answer from the options given below :JEE Mains 2025 Easy - In the circuit shown, find \(C\) if the effective capacitance of the whole circuit is to be \(0.5\,\mu F.\) All values in the circuit are in \(\mu F.\)
JEE Mains 2019 Hard - Six point charges are kept \( 60^{\circ} \) apart from each other on the circumference of a circle of radius R as shown in figure. The net electric field at the centre of the circle is __________ .
(\( \epsilon \) is permittivity of free space)
JEE Mains 2026 Hard
More PYQs from JEE Mains
- At time \(t =0\) a particle starts travelling from a height \(7\,\hat{z} cm\) in a plane keeping \(z\) coordinate constant. At any instant of time it's position along the \(x\) and \(y\) directions are defined as \(3\,t\) and \(5\,t^{3}\) respectively. At \(t =1\,s\) acceleration of the particle will be.JEE Mains 2022 Medium
- A slanted object \(A B\) is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is:
JEE Mains 2025 Medium - As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius a and outer radius \(b\). The electric field due to charge \(Q\) in three different regions I, II and III is given by: \(( I : r < a , II : a < r < b , III : r > b )\)
JEE Mains 2023 Medium - A \(9\, V\) battery with internal resistance of \(0.5\,\Omega \) is connected across an infinite network as shown in the figure. All ammeters \(A_1 , A_2, A_3\) and voltmeter \(V\) are ideal. Choose correct statement
JEE Mains 2017 Hard - A piece of wood from a recently cut tree shows \(20\,decays\) per minute. A wooden piece of same size placed in a museum ( obtained from a tree cut many years back) shows \(2\,decays\) per minute. If half life of \(C^{14}\) is \(5730\, years\), then age of the wooden piece placed in the museum is approximately ........... \(years\)JEE Mains 2014 Hard
- The relative error in the determination of the surface area of a sphere is \(\alpha \). Then the relative error in the determination of its volume isJEE Mains 2018 Hard