Consider light that has its third minimum at an angle of 23.3° when it falls on a single slit of width 4.05 μm. find the wavelength of the light in nanometers.

The wavelength of light is 533 nm.

Explanation:

It is given that,

Width of a single slit,

Light has its third minimum at an angle of 23.3° when it falls on a single slit. For destructive interference, the equation for minima is given by:

Here, n = 3

So, the wavelength of the light is 533 nm. Hence, this is the required solution.

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.