WBJEE · Physics · Electrostatics
The variation of electric field along the \(Z\)-axis due to a uniformly charged circular ring of radius ' \(a\) ' in \(X Y\) plane is shown in the figure. The value of coordinate \(M\) will be
- A \(\frac{1}{2}\)
- B \(\sqrt{2}\)
- C 1
- D \(\frac{1}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
For \(E_{z}\) to be maximum, \[ \frac{d E_{z}}{d z}=0 \quad \therefore z=a / \sqrt{2} \quad \text { or } \frac{z}{a}=\frac{1}{\sqrt{2}} \]
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle is projected from the ground with a kinetic energy \(E\) at an angle of \(60^{\circ}\) with the horizontal. Its kinetic energy at the highest point of its motion will beWBJEE 2012 Medium
- A particle of mass \(m\) is located in a one dimensional potential field where potential energy is given by : \(\mathrm{V}(\mathrm{x})=\mathrm{A}(1-\cos \mathrm{px})\), where \(\mathrm{A}\) and \(\mathrm{p}\) are constants. The period of small oscillations of the particle isWBJEE 2011 Hard
- What is the current \(I\) shown in the given circuit?
WBJEE 2019 Hard - A particle with charge \(Q\) coulomb, tied at the end of an inextensible string of length \(R\) metre, revolves in a vertical plane. At the centre of the circular trajectory, there is a fixed charge of magnitude \(Q\) coulomb. The mass of the moving charge \(M\) is such that \(M g=\frac{Q^{2}}{4 \pi \in_{0} R^{2}}\). If at the highest position of the particle, the tension of the string just vanishes, the horizontal velocity at the lowest point has to beWBJEE 2017 Hard
- As shown in figure below, a charge \(+2 \mathrm{C}\) is situated at the origin \(O\) and another charge \(+5 \mathrm{C}\) is on the \(x\) -axis at the point \(A .\) The later charge from the point \(A\) is then brought to a point \(B\) on the \(y\) -axis. The work done is \(\left(\right.\) given \(\left.\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} \mathrm{m} / \mathrm{F}\right)\)
WBJEE 2013 Easy - Two solid spheres of same metal but of mass \(\mathrm{M}\) and \(8 \mathrm{M}\) fall simultaneously on a viscous liquid and their terminal velocities are \(v\) and \(n v\) then value of \(n\) isWBJEE 2010 Medium
More PYQs from WBJEE
- Out of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one?WBJEE 2018 Medium
- A point source of light is used in an experiment of photo-electric effects. If the distance between the source and the photo-electric surface is doubled, which of the following may result?WBJEE 2020 Medium
- It is difficult to cook rice in an open vessel by boiling it at high altitudes because ofWBJEE 2009 Medium
- If pressure of real gas \(\mathrm{O}_{2}\) in a container is given by \(\mathrm{P}=\frac{\mathrm{RT}}{2 \mathrm{~V}-\mathrm{b}}-\frac{\mathrm{a}}{4 \mathrm{~b}^{2}}\), then the mass of the gas in the container isWBJEE 2021 Medium
- Nitrogen dioxide is not produced on heatingWBJEE 2016 Easy
- If \(z=x+i y,\) where \(x\) and \(y\) are real numbers and \(i=\sqrt{-1}\), then the points \((x, y)\) for which \(\frac{z-1}{z-i}\) is real, lie onWBJEE 2013 Medium