Given two statements, one labelled Assertion (A) and other labelled Reason (R). Assertion: Potential V at any axial point at distance (r ≫ separation) from the centre of a dipole of moment p is p/(4πε₀r²). Reason: V = 2pr/(4πε₀r³), where r is distance from centre of dipole. Choose correct assertion-reason option.
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Question

Given two statements, one labelled Assertion (A) and other labelled Reason (R). Assertion: Potential V at any axial point at distance (r ≫ separation) from the centre of a dipole of moment p is p/(4πε₀r²). Reason: V = 2pr/(4πε₀r³), where r is distance from centre of dipole. Choose correct assertion-reason option.

Options

G1 Physics · Accepted Answer

Step 1: Far-field axial potential of an electric dipole is V = kp cosθ/r². Step 2: Along positive axis θ = 0, so V = p/(4πε₀r²); assertion is true. Step 3: The Reason uses the axial electric-field numerator in a potential expression and is not correct. Step 4: Hence assertion true, reason false.