Using a 683 nm wavelength laser, you form the diffraction pattern of a 1.1 mm wide slit on a screen. You measure on the screen that the 14 th dark fringe is 8.71 cm away from the center of the central maximum. How far is the screen located from the slit?

  .x = 10 m

Explanation:

The diffraction phenomenon is described by the mathematical expression,

         a sinθ = m λ

Where a is the width of the slit, m the direction order and Lam the wavelength.

In these experiments the angles are very small.

          tan θ = sin tea / cos θ = y / x

          sin θ = y / x

We substitute

          y / x = m λ

         x = a y / m λ

Let's apply this expression to our case

Lam = 683 nm = 683 10⁻⁹ m

a = 1.1 mm = 1.1 10⁻³ m

m = 14

y = 8.71 cm = 0.0871 m

Let's calculate

        X = 1.1 10⁻³-3 0.0871 / 14 683.10⁻⁹-9

        x = 1 101

        .x = 10 m

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards