(B) The condition for the $n^{th}$ order maximum in Young's double slit experiment is given by $y = \frac{n \lambda D}{d}$.Since the point of observat

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(B) The condition for the $n^{th}$ order maximum in Young's double slit experiment is given by $y = \frac{n \lambda D}{d}$.Since the point of observation $y$ remains the same,the product $n \lambda$ must be constant for both sources.Therefore,$n_1 \lambda_1 = n_2 \lambda_2$.Given $n_1 = 10$,$\lambda_1 = 7000 \; \mathring{A}$,and $\lambda_2 = 5000 \; \mathring{A}$.Substituting the values: $10 \times 7000 = n_2 \times 5000$.$n_2 = \frac{10 \times 7000}{5000} = \frac{70000}{5000} = 14$.Thus,the $14^{th}$ order maximum will be obtained at the same point.

Class 12 Physics Wave Optics Young's Double Slit Experiment (YDSE)

Easy

In Young's double slit experiment,the $10^{th}$ order maximum is obtained at a point of observation in the interference pattern for a wavelength $\lambda_1 = 7000 \; \mathring{A}$. If the source is replaced by another one of wavelength $\lambda_2 = 5000 \; \mathring{A}$,what will be the order of the maximum at the same point (in $^{th}$)?

A
$12$
B
$14$
C
$16$
D
$18$

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Class 12 Questions

Class 12

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Wave Optics

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Young's Double Slit Experiment (YDSE)

How is the interference pattern affected when violet light replaces sodium light?

MediumMHT CET 2024

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Young's double-slit experiment is performed using microwaves of wavelength $\lambda = 3 \, cm$. The distance between the plane of the slits and the screen is $D = 100 \, cm$,and the distance between the slits is $d = 5 \, cm$. Find $(a)$ the number of maxima and $(b)$ their positions on the screen.

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$A$ laser light of wavelength $630 \, nm$ is incident on a pair of slits,and the fringe width of the interference pattern produced is $8.1 \, mm$. In another interference pattern produced by a different light,the fringe width is $7.2 \, mm$. Find the wavelength of this second light in $nm$.

Medium

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Young's double-slit experiment is carried out by using green,red,and blue light,one color at a time. The fringe widths recorded are $\beta_G$,$\beta_R$,and $\beta_B$ respectively. Then:

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Young's double slit experiment is carried out by using green,red,and blue light,one color at a time. The fringe widths recorded are $\beta_G, \beta_R$,and $\beta_B$,respectively. Then:

MediumIIT 2012

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How is the interference pattern affected when violet light replaces sodium light?

Young's double-slit experiment is performed using microwaves of wavelength $\lambda = 3 \, cm$. The distance between the plane of the slits and the screen is $D = 100 \, cm$,and the distance between the slits is $d = 5 \, cm$. Find $(a)$ the number of maxima and $(b)$ their positions on the screen.

$A$ laser light of wavelength $630 \, nm$ is incident on a pair of slits,and the fringe width of the interference pattern produced is $8.1 \, mm$. In another interference pattern produced by a different light,the fringe width is $7.2 \, mm$. Find the wavelength of this second light in $nm$.

Young's double-slit experiment is carried out by using green,red,and blue light,one color at a time. The fringe widths recorded are $\beta_G$,$\beta_R$,and $\beta_B$ respectively. Then:

Young's double slit experiment is carried out by using green,red,and blue light,one color at a time. The fringe widths recorded are $\beta_G, \beta_R$,and $\beta_B$,respectively. Then:

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