In Young's double slit experiment shown in figure. $S_{1}$ and $S_{2}$ are coherent souces and $S$ is the screen having a hole at a point $1.0 m m$ away from the central line. White light ( $400$ to $700 n m$ ) is sent through the slits. Which wavelengths passing through the hole has strong intensity?

400 n m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

700 n m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

500 n m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

667 n m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $500 n m$
$y_{n} = \frac{n λ_{n} D}{d}$
$\Rightarrow λ_{n} = \frac{y_{n} d}{D}$
$w h e n, n = 1$
$λ_{1} = \frac{y_{n d}}{D} = \frac{10^{- 3} \times 0.5 \times 10^{- 3}}{0.5} = 10^{- 6} m = 1000 n m$
$1000$ $n m$ is not present in the range $400 n m - 700 n m$
again $,$ where $n = 2,$
$λ_{2} = \frac{y_{n} d}{2 D} = 500 n m$
Hence,
option $(C)$ is correct answer.

Suggest Corrections

Similar questions

Q. In Young's double slit experiment shows in figure,

S_{1}

and

S_{2}

are coherent sources and S is the screen having a hole at a point 1.0 mm away from the central line. White light (400 to 700 nm) is sent through the slits. Which wavelength passing through the hole has the strongest intensity?

Q. White coherent light

(400 n m - 700 n m)

is sent through the slits of a Youngs double slit experiment . The separation between the slits is 0.5 mm and the screen is

50 c m

away from the slits. There is a hole in the screen at a point

1.0 m m

away (along the width of the fringes) from the central line. (a) Which wavelength(s) will be absent in the light coming from the hole ? (b) which will have a strong intensity ?

White coherent light (400 nm - 700 nm) is sent through the slits of a young's double slit experiment (figure 17-E3). The separation between the slits is 0.5 mm and the screen is 50 cm away from the slits. There is a hole in the screen at a point 1.0 mm away (aong the width of the fringes) from the central line. (a) Which wavelength (s) will be absent in the light coming from the hole? (b) Which wavelength (s) willl have a strong intensity?

Q. White coherent light

(400 n m - 700 n m)

is sent through the slits of a

Y D S E (d = 0.5 m m, D = 50 c m)

. There is a hole in the screen at a point

1.0 m m

away (along the width of the fringes) from the central line
(i) Which wavelength will be absent in the light coming from the hole?
(ii) Which wavelength(s) will have a strong intensity?

Q. White coherent light (400 nm-700 nm) is sent through the slits of a Young's double slit experiment (figure 17-E3). The separation between the slits is 0⋅5 mm and the screen is 50 cm away from the slits. There is a hole in the screen at a point 1⋅0 mm away (along the width of the fringes) from the central line. (a) Which wavelength(s) will be absent in the light coming from the hole? (b) Which wavelength(s) will have a strong intensity?

Figure

Join BYJU'S Learning Program

In Young's double slit experiment shown in figure. S1 and S2 are coherent souces and S is the screen having a hole at a point 1.0mm away from the central line. White light (400 to 700nm) is sent through the slits. Which wavelengths passing through the hole has strong intensity?

The correct option is C 500nmyn=nλnDd⇒λn=yndDwhen,n=1λ1=yndD=10−3×0.5×10−30.5=10−6m=1000nm1000 nm is not present in the range 400nm−700nmagain, where n=2,λ2=ynd2D=500nmHence,option (C) is correct answer.