In YDSE with monochromatic light, fringes are obtained on the screen placed at some distance from the slits. If screen is moved by `5 xx 10^(–2)m` towards the slits, fringe width changes by `3 xx 10^(-5) m`. If separation between the slits is 10–3 m, if wavelength of light used is 1000 y Å, then y is : (Assume distance between the two slits is very small than the distance betwen the slits and screen)

Explanation

To solve the problem step by step, we will use the formula for fringe width in Young's Double Slit Experiment (YDSE) and the information provided in the question.

### Step 1: Understand the fringe width formula
The fringe width (β) in YDSE is given by the formula:
\[ \beta = \frac{D \cdot \lambda}{d} \]
where:
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