At our distance from the Sun, the intensity of solar radiation is 1370 W/m^2. The temperature of the Earth is affected by the greenhouse effect of the atmosphere. This phenomenon describes the effect of absorption of infrared light emitted by the surface so as to make the surface temperature of the Earth higher than if it were airless. For comparison, consider a spherical object of radius r with no atmosphere at the same distance from the Sun as the Earth. Assume its emissivity is the same for all kinds of electromagnetic radiation and its temperature is uniform over its surface. Compute its steady-state temperature. Is it chilly?

The steady-state temperature is  

Yes it is chilly

Explanation:

From the question we are told

       The intensity of solar radiation is  

Generally the Stefan Boltzmann Law is mathematically represented as

Where

          is the total power radiated

          is the surface area of the object

          is the emissivity

          T is the temperature of the object

            is the Boltzmann constant with a value

Generally at steady state  the input power to the object  is equal to the output power from the object

           i.e    

Now  

which is the input power to the object is not dependent on the object temperature and on the Boltzmann constant

thus  is mathematically represented as

Where  is  absorptive surface area mathematically represented as

Thus

And   which is the output  power to the object is mathematically represented a

Where is the radiative surface area which is mathematically  as

So

=>        

=>          

substituting values

Converting to degrees

This implies that at steady state it is chilly

the answer would be   dignified - apex