For a geostationary satellite the angular speed in units of radians per hour is:

The correct answer is option 1) i.e. π/12.

CONCEPT:

• A geostationary satellite is an earth-orbiting satellite that revolves around the earth at the same time as the earth rotates along its axis.
  • Due to the same time of the revolution, it appears stationary from the Earth, and hence it is called geostationary. 
  •  The geostationary satellite is placed at about 35,800 km from the equator of Earth.

CALCULATION:

Time is taken by Earth to rotate = Time taken by geostationary satellite to revolve = 24 hours.

One revolution = 360^∘ 

Angular speed = \(\frac{angular\: distance}{time \: taken} \)

\(= \frac{360^{\circ}}{24} = \frac{2π}{24} = \frac{π}{12}\) rad/hr (∵ 360^∘ = 2π radians)