The angular speed of the second hand of a watch is:

Explanation

The correct answer is (π/30) rad/sec. The second hand of a watch completes one full revolution (2π radians) in 60 seconds, which means its angular speed is calculated as: Angular Speed = Total Rotation / Time = (2π radians) / (60 seconds) = (π/30) rad/sec. Let's examine the other options: (π/1800) rad/sec suggests an extremely slow speed that is not applicable to a watch's second hand, as it would imply a highly unrealistic time for a full rotation. (π/60) rad/sec is also incorrect because it does not accurately represent the complete rotation in the given time frame of 60 seconds. (2n) rad/sec is completely irrelevant, as 'n' is not defined and does not pertain to the angular motion of the second hand.