A proton is located at the origin and an electron is located at (1.0, 1.0) mm:

(a) Determine the electric dipole moment of these two particles in unit vector notation.

(b) If we put this electric dipole moment in an external electric field vector(E) = 300vector(i) (N/C), calculate the work done by the electric field to rotate the dipole so that it becomes in the same direction as the field.

(a).

(b).

Explanation:

(a).

The electric dipole moment of the charges is

In our case

and

;

therefore, the dipole moment is

(b).

The work done by an external electric field is

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explanation:

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.