In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1m away. A monochromatic light of wave length 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?
(a) In Young's double slit experiment, two slits are 1 mm apart and the screen is placed 1 m away from the slits. Calculate the fringe width when light of wavelength 500 nm is used. (b) What should be the width of each slit in order to obtain 10 maxima of the double slits pattern within the central maximum of the single slit pattern?
Fringe width is given by $$\beta = \frac{\lambda d}{d}$$ $$<= \frac{500 \times 10^{-9} \times 1}{10^{-3}} = 0.5 mm = 0.5 \times 10^{-3} m = 5 \times 10^{-4} m$$ (b) $$\beta_0 = \frac{2\lambda d}{a} = 10 \beta$$ $$\rightarrow a = \frac{2 \times 500 \times 10^{-9} \times 1}{10 \times 5 \times 10^{-4}} = 2 \times 10^{-4} m$$.
Questions
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 mm is used. What will be the width of each slit for obtaining tenth maxima of double slit within the central maxima of single slit pattern ?
Unlock the full solution & master the concept., ready to test your skills.
detailed solution
Correct option is C
Distance between two slits d=1mm=10 -3 mm ; D=1m λ = 500 × 10 − 9 m Width of each slit a = Width of central maxima in single slit pattern = 2 λD a ; Condition is 10 λD d = 2 λD a a = d 5 D = 1 5 × 10 − 3 m ; a = 0 .2 mm
Want to Improve your productivity talk to our academic experts now !!
speak to our academic counsellor
access to India's best teachers with a record of producing top rankers year on year.
we will send an otp for verification
799 666 8865
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
Life at Infinity Learn
IL in the news
become a Teacher
get in touch
privacy policy
refund policy
takedown policy
terms and conditions
JEE Advanced
IIT JEE Foundation
NEET Foundation
CBSE tutions
IL for schools
knowledge hubs
scholarships
hall of fame
free study material
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
CUET previous year’s papers
CUET important questions
CUET sample papers
CUET revision notes
CUET study guide
CUET mock tests
CBSE previous year’s papers
CBSE important questions
CBSE sample papers
CBSE revision notes
CBSE study guide
CBSE mock tests
- Bihar Board
- Online Class
- Ask Doubt on Whatsapp
- Search Doubtnut
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic lightg of wavelength 500 nm is used, what will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern ?
More from this Exercise
The correct Answer is: D
Angular width of the central maximum in a double slit experiment is x d = λ d d / d = λ d and the angular width of the central maximum in a single slit diffraction pattern is 2 λ a where 'a' is the width of the slit. it is given that 2 λ a = 10 λ d . ∴ a = 2 λ d 10 λ = .2 d = 0.2 × 1 = 0.2 m m, topper's solved these questions, similar questions.
What should be the width of each slit to obtain n maxima of double slit pattern within the central maxima of single slit pattern?
In YDSE , what should be the width of each slit to obtain 20 maxima of the double slit pattern within the central maximum of the single slit pattern ? (d=1mm)
Knowledge Check
In a double slit experiment, the two slits are 1 m m apart and the screen is placed 1 m away. a monochromatic light of wavelength 500 n m is used. what will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single-slit pattern, in young's double slit experiment, two slits are made 5 mm apart and the screen is palced 2m away . what is the fringe separation when light of wavelength 500 nm is used , in a young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. when a light of wavelength 500 nm is used, the fringe separation will be:.
In double slit experiment what should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maxima of single slit pattern with d=2 mm.
(a) Assume that the light of wavelength 6000 Å is coming from a star. Find the limit of resolution of a telescope whose objective has a diameter of 250 cm. (b) Two slits are made 1 mm apart and the screen is placed 1m away. What should be the width of each slit to obtain 10 maxima of the double-slit patterns within the central maximum of the single-slit pattern?
Two slits are one millimeter apart and the screen is placed one meter away. What should the width of each slit be to obtain 10 maxima of the double slit pattern within the central maximum of the single pattern.
In a Young's double slit experiment, the slit separation is 1 m m and the screen is 1 m from the slit. For a monochromatic light of wavelength 500 n m , the distance of 3rd minima from the central maxima is
In Young's double-slit experiment, the slit separation is 0.5 mm and the screen is 0.5 m away from the slit. For a monochromatic light of wavelength 500 nm, the distance of 3rd maxima from the 2nd minima on the other side of central maxima is
MARVEL PUBLICATION - INTERFERENCE AND DIFFRACTION - TEST YOUR GRASP
In a double slit experiment, the two slits are 1 mm apart and the scre...
Two waves having the intensities in the ratio of 9 : 1 produce interfe...
A point P is situated at 40.1 cm and 40.2 cm away from two coherent so...
Two coherent monochromatic light beams of intensities I and 4I are sup...
In Young's double slit experiment carried out with wavelength lamda=50...
In Young's experiment, interference fringes are obtained on a screen p...
In a young's double slit experiment, one of the slits is covered by a ...
In Young's double slit experiment, the two slits are at a distance 'd'...
In Youngs 's double slit experiment, the fringe width obtained by usin...
In Young's double slit experiment, the maximum intensity is I(0). What...
In a biprism experiment the band width is 0.4 mm when the eye piece is...
In a biprism experiment, the distance between the consecutive bright b...
Microwave ocillators S(1) and S(2) are used to show interference of el...
Two sources of light P and Q have wavelengths 6000 Å and 5500 Å respec...
Light of wavelength 5000 Å, illuminates the slit in a biprism experime...
A diffraction patter is obtained by making lbue light incident on a na...
Light of wavelength lambda is incident on a slit of width d and distan...
A light wave is incident normally over a slit of width 24xx10^-5cm. Th...
In a Fraunhoffer diffraction at single slit of width 'a' with incident...
By using light of wavelength 5200 Å, two points separated by a distanc...
What is the resolving power of a telescope whose objective lens has a ...
IMAGES
COMMENTS
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic lightg of wavelength 500 nm is used, what asked Sep 24, 2020 in Physics by Punamsingh ( 97.1k points)
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?
The correct answer is Distance between two slitsd=1mm=10-3mm ; D=1mλ=500×10−9m Width of each slit a = Width of central maxima in single slit pattern=2λDa; Condition is 10λDd=2λDaa=d5D=15×10−3m;a=0. ... In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 ...
Step by step video, text & image solution for In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used, what will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern ? by Physics experts to help you in doubts & scoring excellent marks in Class 12 ...
In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the fringe separation will be: A 0.25 mm. B 0.50 mm. C 0.75 mm. ... Two slits are made 1 mm apart and the screen is placed 1m away. What should be the width of each slit to obtain 10 maxima of ...
In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the fringe separation will be: ... In a double slit experiment, the two slits are 1 mm apart and the scre... 04:09. Two waves having the intensities in the ratio of 9 : 1 produce interfe...
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern? (a) 0.5 mm (b) 0.02 mm (c) 0.2 mm (d) 0.1 mm
Two slits separated by 1 mm in Young's double slit experiment are illuminated by the violet light of the wavelength 400 nm. The interference fringes are obtained on the screen placed at 1 m from the slits. Find the fringe width. If the violet light is replaced by the red light of the wavelength 700 nm, find the percentage change in fringe width.
Light from a green laser passing through two slits 0.4 mm wide and 0.1 mm apart. In modern physics, ... In the double-slit experiment, the two slits are illuminated by the quasi-monochromatic light of a single laser. If the width of the slits is small enough (much less than the wavelength of the laser light), the slits diffract the light into ...