A0.51mm -diameter hole is illuminated by light of wavelength 510nm . what is the width of the central maximum on a screen 2.0m behind the slit? answer in delta y=

 y = 2.44 10⁻³ m = 2.44 mm

Explanation:

The diffraction phenomenon is described by the expression

         a sin θ = m λ

Where a is the width of the slit, λ the wavelength and m the diffraction power, to have the first zero m must be one (m = 1) so this distance gives the width of the central maximum torque m = 0 up to the first minimum.

In the case of circular aperture we must use polar coordinates, also as in these experiments the angle is very small we can approximate the sine by its angle

        tan θ = y / x

        tan θ = sin θ / cos θ = sin θ

        sin θ = y / x

The use of polar coordinates introduces a numerical constant, therefore the expression remains

           a  y / x = 1.22 λ

          y = 1.22 λ x / a

Let's calculate

          y = 1.22  510 10⁻⁹ 2.0 / 0.51 10⁻³

          y = 2.44 10⁻³ m = 2.44 mm

are you like autistic or something?

xd

it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =