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Standard XII

Mathematics

Condition for Two Lines to Be Parallel

Two sources g...

Question

Two sources give interterence pattern which is observed on a screen, placed at a distance $D$ from the sources. The fringe width is given as $2 W$ . If the distance of sources from the screen is doubled, then the fringe width will

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W / 2

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Remains the same

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W

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4 W

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Solution

The correct option is D Become $4 W$
Given, $W_{1} = 2 W$ ,
Fringe width is given by $W = \frac{λ D}{d}$
$\Rightarrow 2 W = \frac{λ D}{d}$
When $D^{'} = 2 D$ , we get
$W_{2} = \frac{λ D^{'}}{d}$
$\Rightarrow W_{2} = \frac{λ 2 D}{d} = 2 W_{1}$
$W_{2} = 2 \times 2 W = 4 W$ .

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Two sources give interterence pattern which is observed on a screen, placed at a distance D from the sources. The fringe width is given as 2W. If the distance of sources from the screen is doubled, then the fringe width will

The correct option is D Become 4WGiven, W1=2W,Fringe width is given by W=λDd⇒2W=λDdWhen D′=2D, we get W2=λD′d⇒W2=λ2Dd=2W1W2=2×2W=4W.

Two sources give interterence pattern which is observed on a screen, placed at a distance $D$ from the sources. The fringe width is given as $2 W$ . If the distance of sources from the screen is doubled, then the fringe width will

The correct option is D Become $4 W$
Given, $W_{1} = 2 W$ ,
Fringe width is given by $W = \frac{λ D}{d}$
$\Rightarrow 2 W = \frac{λ D}{d}$
When $D^{'} = 2 D$ , we get
$W_{2} = \frac{λ D^{'}}{d}$
$\Rightarrow W_{2} = \frac{λ 2 D}{d} = 2 W_{1}$
$W_{2} = 2 \times 2 W = 4 W$ .