Match List-I with List-II regarding the angular speeds of various rotating bodies. (A) Second hand of an analog clock (I) 43200 rad/s (B) Minute hand of an analog clock (II) 21600 rad/s (C) Hour hand of an analog clock (III) 1800 rad/s (D) Earth's rotation about its own axis (IV) 30 rad/s Choose the correct answer from the options given below:

Step-by-step solution

The angular speed of a rotating body is given by = 2 T , where T is the time period of rotation. For the second hand of a clock, T = 60 s. = 2 60 = 30 rad/s. (A matches IV) For the minute hand of a clock, T = 60 minutes = 3600 s. = 2 3600 = 1800 rad/s. (B matches III) For the hour hand of a clock, T = 12 hours = 12 3600 = 43200 s. = 2 43200 = 21600 rad/s. (C matches II) For the Earth's rotation about its own axis, T = 24 hours = 24 3600 = 86400 s. = 2 86400 = 43200 rad/s. (D matches I) Therefore, the correct matchi