Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A : The magnitude of the electric field at an equatorial point at a distance of 2 m from the centre of a short electric dipole of dipole moment 8 10⁻⁷ C m is 1800 V/m . (Take 1 4 ₀ =9 10^9 SI units) Reason R : The electric field magnitude at an equatorial point of a short dipole is given by E = 1 4 ₀ p r^3

Step-by-step solution

The electric field at an equatorial point of a short dipole is given by E = 1 4 ₀ p r^3 . Its direction is opposite to the dipole moment vector. Thus, Reason R is true. Given p = 8 10⁻⁷ C m and r = 2 m . Substituting the values into the formula: E = 9 10^9 8 10⁻⁷ 2^3 E = 9 10^9 8 10⁻⁷ 8 = 900 V/m The Assertion A states the electric field is 1800 V/m , which is incorrect. Therefore, A is false but R is true. Answer: A is false but R is true.