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Standard XII

Physics

Intensity Explanation in YDSE

In a modified...

Question

In a modified $Y D S$ the two slits $S_{3}$ and $S_{4}$ are placed in front of the slits $S_{1}$ and $S_{2}$ ,calculate the ratio of $m a x^{m}$ intensity to minimum intensity produced in the screen if

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Solution

YDS
Two slits $S_{3}$ and $S_{4}$ are placed in front of slits $S_{1}$ and $S_{2}$
$\frac{I_{m a x}}{I_{m i n}} = \frac{(a_{1} + a_{2})^{2}}{(a_{1} - a_{2})^{2}}$
$a_{1}$ and $a_{2}$ be the amplitude of constructive and destructive mode.
In relation between intensity and amplitude
$I n t e n s i t y α (a m p l i t u d e)^{2}$

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Similar questions

Q. Consider the situation shown in the figure. The two slits S₁ and S₂ placed symmetrically around the central line are illuminated by a monochromatic light of wavelength λ. The separation between the slits is d. The light transmitted by the slits falls on a screen ∑₁ placed at a distance D from the slits. The slit S₃ is at the central line and the slit S₄ is at a distance z from S₃. Another screen ∑₂ is placed a further distance D away from ∑₁_. Find the ratio of the maximum to minimum intensity observed on ∑₂ if z is equal to
(a)

z = \frac{λ D}{2 d}

(b)

\frac{λ D}{d}

(c)

\frac{λ D}{4 d}

Figure

Q. In standard 'YDSE' (

D >> d >> λ

) with identical slits

S_{1}

and

S_{2}

, light reaching at point 'A' on the screen opposite to slit

S_{2}

has an intensity

I

. It was also found that when only one of the two slits

S_{1}

and

S_{2}

was illuminated by same light beam, the intensity at 'A' is still

I

. Now when a third slit

S_{3}

of four times the slit width(of

S_{1}

), is made as shown

(S_{1} S_{2} = S_{2} S_{3} = d)

and all the three slits are illuminated, then the intensity of light reaching 'A' is

n I

, where

n

is (write upto two decimal places)

Q. In standard

Y D S E

(

D >> d >> λ

) with identical slits

S_{1}

and

S_{2}

, light reaching at point

A

on the screen opposite to slit

S_{2}

has an intensity

I

. It was also found that when only one of the two slits

S_{1}

and

S_{2}

was illuminated by same light beam, the intensity at

A

is still

I

. Now when a third slit

S_{3}

of four times the slit width(of

S_{1}

), is made as shown

(S_{1} S_{2} = S_{2} S_{3} = d)

and all the three slits are illuminated, then the intensity of light reaching

A

n I

, where

n

Q. In a Young's double slit experiment, the slits

S_{1}

and

S_{2}

are illuminated by a parallel beam of light of wavelength

4000 ˙ A

from the medium of refractive index

μ_{1} = 1.2

. A thin film of thickness

1.2 μ m

and refractive index

μ = 1.5

is placed in front of

S_{1}

perpendicular to the path of light. The refractive index of the medium between the plane of slits and screen is

μ_{2} = 1.4

. If the light coming from

S_{1}

and

S_{2}

have equal intensity

I

, then the intensity at the geometrical centre of screen

O

is:

Consider the situation shown in figure (17-E6). The two slits $S_{1}$ and $S_{2}$ placed symmetrically around the central line are illuminated by a monochromatic light of wavelength $λ$ the separation between the slits is d. The light transmitted by the slits falls on a screen $\sum_{1}$ placed at a distance D from the slits. The slit $S_{3}$ is at the central line and the slit $S_{4}$ is at a distane z rom $S_{3}$ Another screen $\sum_{2}$ is palced a further distance D away from $\sum_{1}$ find the ration of thmaximum to minimum intensity obsered on $\sum_{2}$ if z is equal to
(a) $z = \frac{λ D}{2 d}$
(b) $\frac{λ}{d},$
(c) $\frac{λ D}{4 d} .$

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In a modified YDS the two slits S3 and S4 are placed in front of the slits S1 and S2 ,calculate the ratio of maxm intensity to minimum intensity produced in the screen if

YDSTwo slits S3 and S4 are placed in front of slits S1 and S2ImaxImin=(a1+a2)2(a1−a2)2a1 and a2 be the amplitude of constructive and destructive mode.In relation between intensity and amplitudeIntensityα(amplitude)2

In a modified $Y D S$ the two slits $S_{3}$ and $S_{4}$ are placed in front of the slits $S_{1}$ and $S_{2}$ ,calculate the ratio of $m a x^{m}$ intensity to minimum intensity produced in the screen if