enEnglishguગુજરાતી
JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
Two point dipoles of dipole moment \({\vec P_1}\) and \({\vec P_2}\) are at a distance \(x\) from each other and \({\vec P_1}\) || \({\vec P_2}\). The force between the dipoles is
- A \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{4{p_1}{p_2}}}{{{x^4}}}\)
- B \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{3{p_1}{p_2}}}{{{x^3}}}\)
- C \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{6{p_1}{p_2}}}{{{x^4}}}\)
- D \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{8{p_1}{p_2}}}{{{x^4}}}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{3{p_1}{p_2}}}{{{x^3}}}\)
Step-by-step Solution
Detailed explanation
Force if interaction \(F = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{{3{p_1}{p_2}}}{{{r^4}}}\)
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
- In the following circuit, the correct relation between output \(( Y )\) and inputs \(A\) and \(B\) will be
JEE Mains 2022 Hard - An electric dipole of mass m, charge q, and length \(l\) is placed in a uniform electric field \(\overrightarrow{\mathrm{E}}=\mathrm{E}_0 \hat{i}\). When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations will be:JEE Mains 2025 Medium
- Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m . They are rearranged on the vertices of a bigger triangle of side 25 m and with the same centre. The work done in this process _________ J.JEE Mains 2026 Easy
- The reading in the ideal voltmeter \((V)\) shown in the given circuit diagram is _______.
JEE Mains 2024 Hard - For the forward biased diode characteristics shown in the figure, the dynamic resistance at \({I}_{{D}}=3 \,{mA}\) will be \(.....\,\Omega\)
JEE Mains 2021 Medium - In Young's double slit experiment, the distance between slits and the screen is \(1 .0\,\,m\) and monochromatic light of \(600\,\,nm\) is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular distance \(d_0\) between the slits . If the angular resolution of the eye is \(\frac {1}{60}^o,\) the value of \(d_0\) is close to......\(mm\)JEE Mains 2016 Medium
More PYQs from JEE Mains
- The displacement of simple harmonic oscillator after \(3\) seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is \(\dots \; s\)JEE Mains 2022 Medium
- Let \(\vec{a}\) and \(\vec{b}\) be two vectors such that \(|\vec{b}|=1\) and \(|\vec{b} \times \vec{a}|=2\). Then \(|(\vec{b} \times \vec{a})-\vec{b}|^2\) is equal toJEE Mains 2024 Medium
- Let \(y=y(x)\) be the solution of the differential equation \(\left(1-x^2\right) d y=\left[x y+\left(x^3+2\right) \sqrt{3\left(1-x^2\right)}\right] d x\) \(-1 < x < 1, y(0)=0\). If \(y\left(\frac{1}{2}\right)=\frac{\mathrm{m}}{\mathrm{n}}, \mathrm{m}\) and \(\mathrm{n}\) are coprime numbers, then \(\mathrm{m}+\mathrm{n}\) is equal to ...........JEE Mains 2024 Hard
- Moment of Inertia \((M.I.)\) of four bodies having same mass ' \(M\) ' and radius ' \(2 R^{\prime}\) are as follows \(I _{1}=\) \(M.I.\) of solid sphere about its diameter \(I _{2}=\) \(M.I.\) of solid cylinder about its axis \(I _{3}=\) \(M.I.\) of solid circular disc about its diameter \(I _{4}=\) \(M.I.\) of thin circular ring about its diameter If \(2\left(I_{2}+I_{3}\right)+I_{4}=x\). \(I_{1}\) then the value of \(x\) will be.......JEE Mains 2022 Medium
- An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of \(8:27\). The ratio of the radii of the nuclei (assumed to be spherical ) isJEE Mains 2018 Hard
- If the set of all solutions of \(|x^2 + x - 9| = |x| + |x^2 - 9|\) is \([\alpha, \beta] \cup [\gamma, \infty)\), then \((\alpha^2 + \beta^2 + \gamma^2)\) is equal to:JEE Mains 2026 Medium