JEE Advanced · Physics · 17. Electrostatics
For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram. Given that:
\(V=\frac{q}{4 \pi \varepsilon_0 R_0} \text { for } r \leq R_0\)
and \(V=\frac{q}{4 \pi \varepsilon_0 r}\) for \(r \geq R_0\)
Then which option(s) are correct

- A Total charge within \(2 R_0\) is \(q\)
- B Total electrostatic energy for \(r \leq R_0\) is zero
- C At \(r=R_0\) electric field is discontinuous
- D None of these
Answer & Solution
Correct Answer
(D) None of these
Step-by-step Solution
Detailed explanation
The given graph is of charged conducting sphere of radius \(R_0\). The whole charge \(q\) distributes on the surface of the sphere.
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 of mass is moving in one dimension under a force that delivers a constant power to the particle. If the initial speed of the particle is zero, the speed after isJEE Advanced 2013 Medium
- A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths \(f_e\) and \(f_0\), respectively. Then
JEE Advanced 2006 Medium - The activity of a freshly prepared radioactive sample is \(10^{10}\) disintegrations per second, whose mean life is \(10^{-9} \mathrm{~s}\). The mass of an atom of this radioisotope is \(10^{-25} \mathrm{~kg}\). The mass (in \(\mathrm{mg}\) ) of the radioactive sample isJEE Advanced 2011 Medium
- A person sitting inside an elevator performs a weighing experiment with an object of mass 50 kg . Suppose that the variation of the height \(y\) (in m ) of the elevator, from the ground, with time \(t\) (in s ) is given by \(y=8\left[1+\sin \left(\frac{2 \pi t}{T}\right)\right]\), where \(T=40 \pi \mathrm{~s}\). Taking acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\), the maximum variation of the object's weight (in N ) as observed in the experiment is _______ .JEE Advanced 2025 Medium
- You are given many resistances, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of \(50 \mathrm{~Hz}\) frequency (the next three circuits) in different ways as shown in Column II. When a current \(I\) (steady state for DC or rms for \(A C\) ) flows through the circuit, the corresponding voltage \(V_1\) and \(V_2\) (indicated in circuits) are related as shown in Column I. Match the two
JEE Advanced 2010 Hard - One end of a horizontal uniform beam of weight and length is hinged on a vertical wall at point and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point , at a height above the hinge at point . A block of weight is attached at the point of the beam, as shown in the figure (not to scale). The rope can sustain a maximum tension of . Which of the following statement(s) is(are) correct?
JEE Advanced 2021 Hard
More PYQs from JEE Advanced
- Let , where , be a hyperbola in the xy-plane whose conjugate axis subtends an angle of at one of its vertices . Let the area of the triangle be .
The correct option is:LIST-I LIST-II A. The length of the conjugate axis of is P. B. The eccentricity of is Q. C. The distance between the foci of is R. D. The length of the latus rectum of is S. JEE Advanced 2018 Medium - One mole of an ideal gas at , undergoes two reversible processes, followed by , as shown below. If the work done by the gas in the two processes are same, the value of is
( : internal energy, entropy, pressure, volume, : gas constant) (Given: molar heat capacity at constant volume, of the gas is )JEE Advanced 2021 Medium - Paragraph:
Let \(V_r\) denotes the sum of the first \(r\) terms of an arithmetic progression \((A P)\) whose first term is \(r\) and the common difference is \((2 r-1)\). Let \(T_r=V_{r+1}-V_r-2\) and \(Q_r=T_{r+1}-T_r\) for \(r=1,2, \ldots\)
Question:
The sum \(V_1+V_2+\ldots+V_n\) isJEE Advanced 2007 Medium - We have taken a saturated solution of \(\mathrm{AgBr}, K_{\mathrm{sp}}\) is \(12 \times 10^{-14}\). If \(10^{-7}\) mole of \(\mathrm{AgNO}_3\) are added to 1 litre of this solution, find conductivity (specific conductance) of this solution in terms of \(10^{-7} \mathrm{Sm}^{-1}\) units.
\( \text {Given, } \lambda_{\left(\mathrm{Ag}^{+}\right)}^{\circ} =6 \times 10^{-3} \mathrm{Sm}^2 \mathrm{~mol}^{-1},\) \(\lambda_{\left(\mathrm{Br}^{-}\right)}^{\circ}=8 \times 10^{-3} \mathrm{Sm}^2 \mathrm{~mol}^{-1}, \)
\( \lambda_{\left(\mathrm{NO}_3^{-}\right)} =7 \times 10^{-3} \mathrm{Sm}^2 \mathrm{~mol}^{-1},\)JEE Advanced 2006 Hard - Let \(O(0,0), P(3,4)\) and \(Q(6,0)\) be the vertices of the \(\triangle O P Q\). The point \(R\) inside the \(\triangle O P Q\) is such that the \(\triangle O P R, \triangle P Q R, \triangle O Q R\) are of equal area. The coordinates of \(R\) areJEE Advanced 2007 Easy
- A reversible cyclic process for an ideal gas is shown below. Here, are pressure, volume and temperature, respectively. The thermodynamic parameters are heat, work, enthalpy and internal energy, respectively.

The correct option(s) is (are)JEE Advanced 2018 Medium