Auniform gaseous nebula has an average surface brightness of 17.77 magnitudes per second of arc: (a) if a nebula has an angular area of 144 square arcsec, what is the total apparent magnitude? (b) if a nebula were moved to twice its original distance, what would happen to its angular area, total apparent magnitude, and surface brightness?

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.