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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 m distance (r) from the centre of the dipole of dipole moment vector P of magnitude, 4 10⁻⁶ C m , is 9 10^3 ~V . (Take 1 4 ₀ =9 10^9 SI units) Reason R : V= 2 P 4 ₀ r^2 , where r is the distance of any axial point, situated at 2 m from the centre of the dipole.

Options

  1. ABoth A and R are true and R is NOT the correct explanation of A .
  2. BA is true but R is false.
  3. CA is false but R is true.
  4. DBoth A and R are true and R is the correct explanation of A .

Correct answer

B. A is true but R is false.

Step-by-step solution

The potential V at any point, at distance r from centre of dipole = K P r^2 At axial point where =0^ , V= K P r^2 = 9 10^9 4 10⁻⁶ 2^2 =9 10^3 ~V At axial point where =180^ , V= -K P r^2 =-9 10^3 ~V

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