The energy stored in the electric field produced by a metal sphere is $4.5\, J$. If the sphere contains $ 4 \, \mu C$ charge, its radius will be : [Take : $\frac{1}{4 \pi \epsilon_o } = 9 \times 10^{9} \, N - m^2 / C^2$ ]
- 20 mm
- 32 mm
- 28 mm
- 16 mm
The Correct Option is D
Solution and Explanation
Top Questions on potential energy
- Statement-1: Alcohol is prepared from alkyl halide in the presence of aqueous KOH by elimination.
Statement-2: Alkenes are prepared from alkyl halide with alcoholic KOH by $\beta$-elimination.
Which of the following options is correct? 1. Statement-1 and Statement-2 are correct.
2. Statement-1 and Statement-2 are incorrect.
3. Statement-1 is true and Statement-2 is false.
4. Statement-1 is false and Statement-2 is true.
- JEE Main - 2025
- Chemistry
- potential energy
- Maximum IE and minimum IE of group 13 elements are:
- JEE Main - 2025
- Chemistry
- potential energy
- Maximum IE and minimum IE of group 13 elements are:
- JEE Main - 2025
- Chemistry
- potential energy
- A mass of \( 0.5 \, \text{kg} \) is attached to a spring with a spring constant \( k = 200 \, \text{N/m} \). The mass is displaced by \( 0.1 \, \text{m} \) from its equilibrium position. What is the potential energy stored in the spring?
- MHT CET - 2025
- Physics
- potential energy
- A body of mass 4 kg is lifted to a height of 5 meters. What is the potential energy gained by the body? (Take \( g = 9.8 \, \text{m/s}^2 \))
- MHT CET - 2025
- Physics
- potential energy
Questions Asked in JEE Main exam
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is:
- JEE Main - 2026
- Thermodynamics
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.
- JEE Main - 2026
- Coordinate Geometry
- A voltage regulating circuit consisting of a Zener diode having breakdown voltage of $10\,\text{V}$ and maximum power dissipation of $0.4\,\text{W}$ is operated at $15\,\text{V}$. The approximate value of protective resistance in this circuit is ___ $\Omega$.
- JEE Main - 2026
- Semiconductor electronics: materials, devices and simple circuits
- Two point charges of \(1\,\text{nC}\) and \(2\,\text{nC}\) are placed at two corners of an equilateral triangle of side \(3\) cm. The work done in bringing a charge of \(3\,\text{nC}\) from infinity to the third corner of the triangle is ________ \(\mu\text{J}\). \[ \left(\frac{1}{4\pi\varepsilon_0}=9\times10^9\,\text{N m}^2\text{C}^{-2}\right) \]
- JEE Main - 2026
- Electrostatics
Consider the following two reactions A and B:
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
- JEE Main - 2026
- Organic Chemistry
Concepts Used:
Potential Energy
The energy retained by an object as a result of its stationery position is known as potential energy. The intrinsic energy of the body to its static position is known as potential energy.
The joule, abbreviated J, is the SI unit of potential energy. William Rankine, a Scottish engineer, and physicist coined the word "potential energy" in the nineteenth century. Elastic potential energy and gravitational potential energy are the two types of potential energy.
Potential Energy Formula:
The formula for gravitational potential energy is
PE = mgh
Where,
- m is the mass in kilograms
- g is the acceleration due to gravity
- h is the height in meters
Types of Potential Energy:
Potential energy is one of the two main forms of energy, along with kinetic energy. There are two main types of potential energy and they are:
- Gravitational Potential Energy
- Elastic Potential Energy