If the plane of the moon's orbit were the same as the ecliptic plane, there would be a lunar eclipse

a. every day
b. twice a month
c. once every month
d. twice a year

Option B

Explanation:

An lunar eclipse occurs when the Earth comes in between the Sun and the moon when all the three are aligned in space and the Earth casts its shadow on the phase of the full moon and thus darkens it usually the moon turns into a shade of copper red.

For the eclipse to occur every month the Earth's orbit around the sun must coincide with the moon's orbit around the earth.

It takes about a month for the moon to orbit the Earth and if the plane of the ecliptic orbit is the same as that of the orbit of the moon around the earth then there would be at least two lunar eclipses in a month, one at full moon and the other one fortnightly.

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.

i think it would be 5