1. An Alpha particle (nucleus of a helium atom travels ) along the inside of an evacuated straight tube 12.0m long that forms part of a particle accelerator The alpha particle enter the tube (at t=0) moving at a velocity 8.5 × 10 ^5 m/s and emerges from the other end at time t= 10x10^-7s . If the particle acceleration is constant, what is the acceleration ?

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.