At a distance of one astronomical unit (au) from the sun, the distance at which the earth’s orbit is located, the radiative heat flux from the sun is approximately 1350 w/m2 . consider a thin copper plate at this distance, one side of which faces deep space. the side facing the sun is highly polished with a solar absorptivity of 0.16 and an emissivity of 0.03, whereas the side facing deep space is oxidized with an emissivity of 0.8. find the temperature of the plate.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.