Suppose you have three identical lightbulbs, some wire, and a battery. You connect one lightbulb to the battery and take note of its brightness. You add a second lightbulb, connecting it in parallel with the previous lightbulbs, again take note of the brightness. Repeat the process with the third lightbulb, connecting it in parallel with the other two. As the lightbulbs are added, how are the following properties affected? (Neglect the battery's internal resistance) brightness of the bulb ---Select--- increases decreases remains unchanged
individual currents in the bulb ---Select--- increases decreases remains unchanged
power delivered by the battery ---Select--- increases decreases remains unchanged
lifetime of the battery ---Select--- increases decreases remains unchanged

Explanation:

Brightness of the bulb remains the same .

It is so because as lightbulb is added in parallel combination , the potential over each bulb remains same . Resistance is also same so according to the following formula for power , heat generated will be same .

Power = V² / R

On the same principle , current also remains the same .

Current = V / R , V and R are same for all .

Power of the battery

= V² / R where R is resistance of the circuit . As the bulb is added in parallel , total resistance of circuit decreases , hence power increases .

Power by battery increases .

As power increases , lifetime decreases because energy is  dissipated

by battery at greater speed.  

we need answer choices

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.