Introduction:
In electron paramagnetic resonance (EPR) spectroscopy, the number of lines observed in a spectrum is determined by the nuclear spin of the species under study. The nuclear spin value is related to the number of possible energy levels and transitions that can occur within the system. In this case, we are considering the high-resolution EPR spectrum of the species [Cu(ethylenediamine)2]2, where Cu has a nuclear spin value of 3/2 and N has a nuclear spin value of 1.

Explanation:
The number of lines exhibited by the EPR spectrum of the [Cu(ethylenediamine)2]2 complex can be determined using the formula:

Number of lines = 2I + 1

where I is the nuclear spin value.

For the Cu atom, the nuclear spin (I) is given as 3/2. Plugging this value into the formula, we get:

Number of lines for Cu = 2(3/2) + 1 = 4 + 1 = 5

For the N atom, the nuclear spin (I) is given as 1. Plugging this value into the formula, we get:

Number of lines for N = 2(1) + 1 = 2 + 1 = 3

Since the [Cu(ethylenediamine)2]2 complex contains two Cu atoms and two N atoms, we need to consider the contributions from both the Cu and N atoms.

Contributions from Cu:
Since there are two Cu atoms, the total number of lines contributed by Cu is:

Total number of lines from Cu = 2 × (Number of lines for Cu) = 2 × 5 = 10

Contributions from N:
Since there are two N atoms, the total number of lines contributed by N is:

Total number of lines from N = 2 × (Number of lines for N) = 2 × 3 = 6

Total number of lines:
Finally, we add up the contributions from Cu and N to get the total number of lines in the EPR spectrum:

Total number of lines = Total number of lines from Cu + Total number of lines from N = 10 + 6 = 16

Therefore, the correct answer is option 'D', which states that the number of lines exhibited by the high resolution EPR spectrum of [Cu(ethylenediamine)2]2 is 16.