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NEET2022Physics-Electric Dipole

NEET 2022 Physics Electric Dipole MCQ Question

Type: MCQ-numerical-Medium-Class 12

Two point charges −q and +q are placed at a distance of L, as shown in the figure. The magnitude of electric field intensity at a distance R (R >> L) varies as:

Question diagram
A

1/R⁴

B

1/R⁶

C

1/R²

D

1/R³

Correct Answer

Option D

Detailed Explanation

Chapter: Electric Charges and Fields

Class: 12 Physics Topic: Electric Dipole Difficulty: 🟡 Medium

✅ Ans: D — 1R3\dfrac{1}{R^3}

For an electric dipole:

p=qLp=qL

At a distant point (R≫L)(R\gg L), the electric field is:

E∝pR3E\propto\frac{p}{R^3}

Since pp is constant,

E∝1R3\boxed{E\propto\frac{1}{R^3}}

❌ Why other options are wrong?

  • A — 1R4\dfrac{1}{R^4}: Wrong distance dependence.
  • B — 1R6\dfrac{1}{R^6}: Wrong power of RR.
  • C — 1R2\dfrac{1}{R^2}: This is the dependence for a point charge, not a dipole.
  • D — 1R3\dfrac{1}{R^3}: ✅ Correct.

📌 NCERT Concept

For an electric dipole at a large distance:

Eaxial=14πε02pR3E_{\text{axial}} = \frac{1}{4\pi\varepsilon_0} \frac{2p}{R^3}

Thus,

E∝R−3\boxed{E\propto R^{-3}}

🧠 NEET Trick

Point charge: E∝R−2\boxed{\text{Point charge: }E\propto R^{-2}} Dipole: E∝R−3\boxed{\text{Dipole: }E\propto R^{-3}}

Final Answer: D\boxed{D}

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