Assertion A: A conductor is an equipotential
Reason R: $\nabla \cdot \vec{B} = 0$, $\vec{B}$ is magnetic field
In the light of the above statements, choose the most appropriate answer from the options given below
Assessing Assertion A: Conductor Equipotential Property
Assertion A states that a conductor is an equipotential. In electrostatic equilibrium, the electric field inside a conductor must be zero. This is because if there were an electric field, free charges within the conductor would move, and the conductor would not be in equilibrium.
Since the electric field ($\vec{E}$) is zero everywhere inside the conductor ($\vec{E} = 0$), the potential difference between any two points within the conductor is also zero ($V = -\int \vec{E} \cdot d\vec{l}$). Therefore, the potential is constant throughout the conductor, making it an equipotential surface.
Conclusion: Assertion A is correct.
Assessing Reason R: Magnetic Field Property
Reason R provides the equation $\nabla \cdot \vec{B} = 0$, identifying $\vec{B}$ as the magnetic field. This equation is one of Maxwell's equations, specifically Gauss's law for magnetism. It correctly states that the divergence of the magnetic field is always zero. This implies that there are no magnetic monopoles (isolated north or south poles) in nature, and magnetic field lines always form closed loops.
Conclusion: Reason R is a correct statement about magnetic fields.
Evaluating the Relationship Between A and R
The question asks if Reason R correctly explains Assertion A.
- Assertion A deals with the electrostatic properties of conductors, specifically why they are equipotential surfaces in equilibrium. The explanation relies on the absence of electric fields inside conductors.
- Reason R relates to magnetostatics and describes a fundamental property of magnetic fields, independent of electric fields or conductors.
There is no direct causal link or explanatory relationship between the divergence of the magnetic field ($\nabla \cdot \vec{B} = 0$) and the fact that a conductor is an equipotential surface in electrostatics. The physical principles governing each statement are distinct.
Final Answer Determination
Based on the analysis:
- Assertion A is correct.
- Reason R is correct.
- Reason R does not provide the correct explanation for Assertion A.
Therefore, the most appropriate option is that both A and R are correct, but R is not the correct explanation of A.
Similar Questions
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- Number of degree of Freedom of a molecule of Oxygen (O$_2$) gas is:
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$\sin\theta = \frac{m\lambda}{a}$
in case, light from the entire slit arrives at point of observation in phase, for a bright band $\sin\theta$ is equal to: - If '$\omega$' is the angler frequency and 'k' is the wave number represents a photon of energy E and momentum 'P' through the wave function E$_y$ (x, t) = A $\sin$ (kx$-\omega$t)
Which of the following relation is true: $\vec{B}$ is constant, No current in the cube. Cube is moving with '$\vec{v}$' velocity. The direction of electric force on the electron inside this cube is:
- Proton is discovered by
- Electron is discovered by
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Curl of electric field is zero
Reason R: Linear integral of electric filed around a closed path is evidently zero.
In the light of the above statements, choose the most appropriate answer from the options given below - ________ dyes are salts of sulfonic or carboxylic acids. They are used to dye fibers with basic groups such as wool, silk and polyamides.
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
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In the light of the above statements, choose the most appropriate answer from the options given below
Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
