NEET · Physics · STD 12 - 2. Electric potential and capacitance
Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\): The potential ( \(V\) ) at any axial point, at \(2 \mathrm{~m}\) distance ( \(r\) ) from the centre of the dipole of dipole moment vector \(\vec{P}\) of magnitude, \(4 \times 10^{-6} \mathrm{C} \mathrm{m}\), is \(\pm 9 \times 10^3 \mathrm{~V}\). (Take \(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Sl}\) units) Reason \(R\): \(V= \pm \frac{2 P}{4 \pi \epsilon_0 r^2}\), where \(r\) is the distance of any axial point, situated at \(2 \mathrm{~m}\) from the centre of the dipole. In the light of the above statements, choose the correct answer from the options given below:
- A Both \(A\) and \(R\) are true and \(R\) is \(NOT\) the correct explanation of \(A\).
- B \(A\) is true but \(R\) is false.
- C \(A\) is false but \(R\) is true.
- D Both \(A\) and \(R\) are true and \(R\) is the correct explanation of \(A\).
Answer & Solution
Correct Answer
(B) \(A\) is true but \(R\) is false.
Step-by-step Solution
Detailed explanation
The potential \(V\) at any point, at distance \(r\) from centre of dipole \(=\frac{K P \cos \theta}{r^2}\) At axial point where \(\theta=0^{\circ}, V=\frac{K P}{r^2}=\frac{9 \times 10^9 \times 4 \times 10^{-6}}{2^2}=9 \times 10^3 \mathrm{~V}\)
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 \(U\) tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of \(10\,\, mm\) above the water level on the other side. Meanwhile the water rises by \(65\,\, mm\) from its original level (see diagram). The density of the oil is ......... \(kg/m^3\)
NEET 2017 Hard - In the following circuit, the equivalent capacitance between terminal \(A\)and terminal \(B\) is :
NEET 2024 Medium - The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is \(0.25\, \Omega\). What will be the effective resistance if they are connected in series ? (In \(\Omega\))NEET 2021 Easy
- A resistor is connected to a battery of 12 V emf and internal resistance 2 Ω. If the current in the circuit is 0.6 A, the terminal voltage of the battery is :NEET 2026 Easy
- Four statements are given (A is mass number) :
A. The volume of a nucleus is proportional to \(A^{1 / 3}\).
B. The volume of a nucleus is proportional to A.
C. The difference in mass of an atom and its nucleus is called the mass defect.
D. The difference in mass of a nucleus and its constituents is called the mass defect.
Choose the correct answer from the options given below :NEET 2026 Medium - Find the torque about the orlgin when a force of \(3 \hat{j}\, N\) acts on a particle whose position vector is \(2 \hat{k}\, m \)NEET 2020 Easy
More PYQs from NEET
- Coconut fruit is aNEET 2017 Medium
- A spring is stretched by \(5 \,\mathrm{~cm}\) by a force \(10 \,\mathrm{~N}\). The time period of the oscillations when a mass of \(2 \,\mathrm{~kg}\) is suspended by it is :(in \(s\))NEET 2021 Medium
- A pregnant female delivers a baby who suffers from stunted growth, mental retardation, low intelligence quotient and abnormal skin.This is the result ofNEET 2013 Medium
- Large, empty colourless cells of the adaxial epidermis along the veins of grass leaves areNEET 2020 Easy
- The active form of Entamoeba histolytica feeds uponNEET 2015 Medium
- The flightless bird with forelimbs modified as paddle-like structures suited for swimming is known as :NEET 2026 Hard