Home
Class 12
PHYSICS
In young's double slit experiment,the tw...

In young's double slit experiment,the two slits are 0.5 mm apart .The screen is placed 1 m away from the slits .The distance of 11th fringe from the first fringe is 1.0 cm.Calculate the wavelength of light used.

Text Solution

Verified by Experts

`d=0.5 mm = 0.5 xx 10^(-3) m`
D = 1m
`lambda = ?`
Distance of 4th dark fringe from first bright fringe `=y_(4) - y_(1) = .10 cm = 10^(-2) m`
Position of first bright fringe `= y_(m) = (mlambdaD)/d`
m =1 for first bright fringe
`y_(1) = ((1) lambda (1))/(0.5 xx 10^(-3))`
`= lambda/(0.5 xx 10^(-3)) = 2lambda xx 10^(+3)`
Position of 4th dark fringe `= y_(4) = (3+1/2) (lambda(1))/(0.5 xx 10^(-3))`
According to question
`y_(4)- y_(1) = 10^(-2)`
`5lambda xx 10^(+3) = 10^(-2)`
`lambda = 10^(-2)/(5 xx 10^(+3)) = 10^(-2)/5 xx 10^(-3)`
`lambda = 0.2 xx 10^(-5) m = 2000 m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTERFERENCE OF LIGHT

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS (1 Mark)|3 Videos

  • INTERFERENCE OF LIGHT

    BETTER CHOICE PUBLICATION|Exercise LONG ANSWERTYPE QUESTIONS (5/6 Marks)|11 Videos

  • HUYGENS' PRINCIPLE

    BETTER CHOICE PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |11 Videos

  • MAGNETIC DIPOLES AND EARTH'S MAGNETISM

    BETTER CHOICE PUBLICATION|Exercise Most Expected Questions|8 Videos

Similar Questions

Explore conceptually related problems

In Young's double slit experiment, the two slits are 0.5 mm apart. The screen is placed 1.5 m away from the slits. What is the distance between first dark fringe and second bright fringe ? It is given that wavelength used is 6000 A.

In a Young's double slit experiment, the slit are 0.4 mm apart and screen is 1.6 m away. It is observed that distance between central bright fringe and fourth dark fringe is 1.7 cm. Find the wavelength of light used

In a Young's double slit experiment, the slits are separated by 0.03 cm and the screen is placed 1.5 m away. The distance between the central fringe and the fourth bright fringe is 1 cm. Determine the wavelength of light used in the experiment.

In a Young's double slit experiment the slit are 0.2 mm apart and the screen is 1.5 m away.It is observed that the distance between the central brigth fringe and fourth dark fringe is 1.8 cm .Find the wavelength of light used.

In a Young's double slit experiment, the slits are 0.2 mm apart and the screen is 1.5 m away. It is observed that distance between tlie central bright fringe and fourth dark fringe is 1.8 cm. Find the wavelength of light used.

In Young's double slit experiment, the slits are separated by 0.28 mm and the screen is placed 1.4 m away. The distance between the central bright fringe and fourth bright fringe is 1.2 cm. Find the wavelength of light used.

Ina Young.s double slit experimnt the slits are 0.2 mm apart and the screen is 1.5 m away. It is obseved that distance btween the central bright fringe and fourth dark fringe is 1.8 cm. Find th wave length of light ued.

In Young's double slit experintent, the slits are separated by 0.56 mm and screen is placed 2.8 m away. The distance between the central bright fringe and fifth bright fringe is 1.5 cm. Find the wavelength of light used.

In a Young's double slit experiment, slits are separated by a 0.24 mm and screen is kept 160 cm away from slits. If the fringe width is measured to be 0.4 cm, calculate the wavelength of light used in the experiment.

In Young's double slit experiment, the slits are separeted by 0.56 mm and the screen is places 2.8m away. The distance between the central bright fringe and the fifth bright fringe is 1.5 cm. Find the wavelength of light used.

Home
Profile