Science, asked by arey9694, 13 days ago

Activity 1.2. Increasing the Number of Slits
Single Slit
Double Slits
Seven (7) Slits
Explanation​

Answers

Answered by Anonymous
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Answer:

Teri maa ki c hut me L ora daal duga saale

Answered by sonu567859
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Single Slit Diffraction

We can examine the bending phenomena of light, or diffraction, in the single-slit diffraction experiment, which causes light from a coherent source to interfere with itself and generate a distinct pattern on the screen termed the diffraction pattern. When the sources are tiny enough to be comparable in size to the wavelength of light, diffraction occurs.  

Single Slit Diffraction Formula

We shall assume the slit width a << D. x`D is the separation between slit and source.

We shall identify the angular position of any point on the screen by θ measured from the slit center which divides the slit by a/2 lengths. To describe the pattern, we shall first see the condition for dark fringes. Also, let us divide the slit into zones of equal widths a/2.

Let us consider a pair of rays that emanate from distances  a/2

from each other as shown below.

( $\lambda$ is the wavelength)

For the first fringe,

$$\begin{gathered}\Delta \mathrm{L}= \frac{\lambda}{2}   = \frac{a}{2} \sin \Theta \\\end{gathered}$$

   \lambda=a \sin \theta

For a ray emanating from any point in the slit, there exists another ray at a distance    $\frac{a}{2}$  that can cause destructive interference.

Thus, at $\theta=\sin -1 \lambda a$ , there is destructive interference as any ray emanating from a point has a counterpart that causes destructive interference. Hence, a dark fringe is obtained.

For the next fringe, we can divide the slit into 4 equal parts of a/4 and apply the same logic. Thus, for the second minima:

$$\begin{aligned}&amp;\frac{\lambda}{2}=\frac{a}{4} \sin \Theta \\&amp;2 \lambda=a \sin \Theta\end{aligned}$$

Similarly, for the nth fringe, we can divide the slit into 2 n parts and use this condition as:

$$\mathrm{n} \lambda=\mathrm{a} \sin \theta$$

Thus, for Seven fringe  $$\mathrm{7} \lambda=\mathrm{a} \sin \theta$$ .

Learn more about Single Slit Diffraction here,

https://brainly.in/question/11372429?msp_poc_exp=1

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