JEE Advanced · Physics · 17. Electrostatics
Six charges are placed around a regular hexagon of side length as shown in the figure. Five of them have charge , and the remaining one has charge . The perpendicular from each charge to the nearest hexagon side passes through the center of the hexagon and is bisected by the side.
Which of the following statement(s) is(are) correct in SI units?
- A When , the magnitude of the electric field at is zero.
- B When , the magnitude of the electric field at is .
- C When , the potential at is .
- D When , the potential at is .
Answer & Solution
Correct Answer
(A) When , the magnitude of the electric field at is zero.
Step-by-step Solution
Detailed explanation
The given arrangements of the charges also form a regular hexagon with side length equal to When , the situation is symmetric
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
- The smallest division on the main scale of a Vernier calipers is . Ten divisions of the Vernier scale correspond to nine divisions of the main scale. The figure below on the left shows the reading of this calipers with no gap between its two jaws. The figure on the right shows the reading with a solid sphere held between the jaws. The correct diameter of the sphere is
JEE Advanced 2021 Medium - An -particle (mass amu) and a singly charged Sulphur ion (mass amu) are initially at rest. They are accelerated through a potential and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, the -particle and the sulphur ion move in circular orbits of radii and , respectively. The ratio is __________ .JEE Advanced 2021 Easy
- A steady current flows along an infinitely long hollow cylindrical conductor of radius . This cylinder is placed co-axially inside an infinite solenoid of radius . The solenoid has turns per unit length and carries a steady current . Consider a point at a distance from the common axis. The correct statement(s) is(are):JEE Advanced 2013 Medium
- A particle of mass M and positive charge Q, moving with a constant velocity , enters a region of uniform static magnetic field normal to the x-y plane. The region of the magnetic field extends from x = 0 to x = L for all values of y. After passing through this region, the particle emerges on the other side after 10 milliseconds with a velocity . The correct statement (s) is (are)JEE Advanced 2013 Medium
- A small particle of mass moving inside a heavy, hollow and straight tube along the tube axis, undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is the particle speed is The piston is moved inward at a very low speed such that where is the infinitesimal displacement of the piston. Which of the following statement(s) is/are correct?
JEE Advanced 2019 Hard - Four charges and of same magnitude are fixed along the x axis at and , respectively. A positive charge q is placed on the positive y axis at a distance . Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists.
List I List II A. all positive B. positive; negative Q. C. positive; negative D. positive; negative JEE Advanced 2014 Medium
More PYQs from JEE Advanced
- The total number of contributing structures showing hyperconjugation (involving \(\mathrm{C}-\mathrm{H}\) bonds) for the following carbocation is
JEE Advanced 2011 Medium - Three students \(S_1, S_2\) and \(S_1\) are given a problem to solve. Consider the following events :
\(U:\) At least one of \(S_1, S_2\) and \(S_3\) can solve the problem,
\(V: S_1\) can solve the problem, given that neither \(\mathrm{S}_2\) nor \(\mathrm{S}_3\) can solve the problem,
\(W: S_2\) can solve the problem and \(S_3\) cannot solve the problem,
\(T: S_3\) can solve the problem.
For any event \(E\), let \(P(E)\) denote the probability of \(E\).
If \(P(U)=\frac{1}{2}, P(V)=\frac{1}{10}\) and \(P(W)=\frac{1}{12}\), then \(P(T)\) is equal toJEE Advanced 2025 Medium - An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure).Initially the gas is at temperature , pressure and volume and the spring is in its relaxed state. The gas is then heated very slowly to temperature , pressure and volume . During this process the piston moves out by a distance . Ignoring the friction between the piston the cylinder, the correct statement(s) is (are)
JEE Advanced 2015 Medium - A galvanometer gives full scale deflection with current. By connecting it to a resistance, it can be converted into a voltmeter of range . If connected to a resistance, it becomes an ammeter of range . The value of isJEE Advanced 2014 Medium
- is ethylenediaminetetraacetate ion. The total number of N - Co - O bond angles in complex ion isJEE Advanced 2013 Hard
- Let be a continuous function such that and Then which of the following statements is (are) TRUE?JEE Advanced 2021 Medium