Final answer:
The electric intensity due to an electric dipole varies linearly with distance according to the equation E ≈ r^n. In this case, n is equal to -1.
Step-by-step explanation:
The electric intensity due to an electric dipole varies with distance r as E ≈ rn, where n is the power to which r is raised. In this case, the question asks for the value of n. To determine the value of n, we need to look at the given options and test them one by one.
Let's consider the equation E ≈ rn. If we take the logarithm of both sides of the equation, we get: log(E) ≈ n log(r). This shows that the relationship between E and r is linear, meaning the power to which r is raised is equal to 1.
Therefore, the correct answer is c) -1.