(i) In Young’s double slit experiment, deduce the condition for (a) constructive,’ and (b) destructive interference at a point on the screen. Draw a graph showing variation of intensity in the interference pattern against position ‘x’ on the screen. (ii) Compare the interference pattern observed in Young’s double slit experiment with single slit diffraction pattern, pointing out three distinguishing features.

(i) In Young’s double slit experiment, deduce the condition for (a) constructive,’ and (b) destructive interference at a point on the screen. Draw a graph showing variation of intensity in the interference pattern against position ‘x’ on the screen. (ii) Compare the interference pattern observed in Young’s double slit experiment with single slit diffraction pattern, pointing out three distinguishing features.

Related questions

Q: Suppose a monochromatic light incident on a single slit produces a diffraction pattern. (a) How…

Q: To obtain greater dispersion by a diffraction grating: O the slit width should be increased the slit…

A: A diffraction grating is an optical component with a periodic structure that splits and diffracts…

Q: Answer the following questions: (i) In a double slit experiment using light of wavelength 600 nm,…

A: Given: The wavelength of light is λ=600 nm. The angular width of the fringe is θ=0.1∘. The formula…

Q: At time t-0 an electron at the origin is subjected to a force that briefly accelerates it in the -z…

A: Given: Acceleration,a=5×1017m/s2Speed of light,c=3×108m/sCoulomb…

Q: (b) A grating having 5000 lines per cm is used under normal incidence of light. What will happen to…

A: (b) When the 90% of the ruled width of the grating is covered, the angular spacing between the…

Q: (c) What is the effect on diffraction pattern due to a single slit if: (i) Slit width is decreased.…

A: For the single slit diffraction we have, dsinθ=mλ Here, d is the slit width, θ is the angle…

Q: Two very narrow parallel slits separated by a distance d1 = 1.0 mm are illuminated with…

A: Distance from the central maxima to the nth order maxima is given by- yn=nλDdwhere,n is order of…

Q: Using a wavelength of λ = 2.85cm, a slit separation of d = 5cm and a slit width of a = 1cm. (a)…

A: (a) To determine the location of the first interference peaks on an infinitely long screen placed 20…

Q: Light containing a combination of blue (with wavelength 450 nm), green and orange passes through an…

A: Required : The correct statements.

Q: - In a Young's double slit experiment, the path difference at a certain point on the screen between…

A: We are aware that in a Young's double slit experiment, the distance between the paths of two…

Q: In a single-slit diffraction experiment with waves of wavelength 2, there will be no intensity…

A: Answer : Correct option is (c) i .e width a equals to wavelength .

Q: (i.) At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm…

A: Wavelength = λ = 400 nm = 400×10-9 mSlit separation = d = 0.025 mm = 0.025×10-3 mFor maximadsinθ =…

Q: What is the effect on diffraction pattern due to a single slit if: (i) Slit width is decreased. (ii)…

A: The expression for the relation between the slit width and wavelength of light is given as: nλ=dsinθ…

Q: In.10) Visible light of wavelength 550 nm falls on a single slit and produces its second diffraction…

Q: Light of wavelength 690 nm passes through two slits which are separated by 0.6 mm. The screen is 1.5…

A: The light and dark fringes together are 1.13 mm closer. hence, the width of an individual fringe is…

Q: (i.) At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm…

A: Given:wavelength of light, λ = 400×10−9 mslit separation, d = 0.025×10−3 mAsked:Angular sepration of…

Q: I) To separate two spectral lines of wavelengths 586.38 nm and 586.81 nm, a 3.1 cm wide grating is…

Q: (II) A very thin sheet of plastic (n = 1.60) covers one slit of a double-slit apparatus illuminated…

Q: 21) In the two-slit experiment, monochromatic light of frequency 5.00 x 1014 Hz passes through a…

Q: How would the diffraction pattern of a single slit be affected when (i) the width of the slit is…

Q: How would the angular separation of interference fringes in Young’s double slit experiment change…

A: The angular separation is given by θ =βλ=Dd where, D is the distance between the slit and screen, d…

Q: (c) What is the effect on diffraction pattern due to a single slit if: 6) Slit width is decreased.…

A: condition for minimuma sin θ=nλsinθ=nλa........(1)condition for secondary maximumasin θ=2n+1λ2sin…

Q: A physics professor wants to perform a lecture demonstration of Young's double-slit experiment for…

A: In the given question, Wavelength of light (λ) = 933nm = 933×10-9m Distance of screen from slith (D)…

Q: 4) In a double -slit Separated by a ill uminated the experiment, su the slit are The slit are…

A: Double slit interference pattern for contructive interference is given by the equationdsinθ=mλd is…

Q: (4) Light passes through a single slit and the diffraction pattern is projected onto a screen. If…

A: Separation between two minimaΔy=ym+1−ym=d(m+1)λD−d(m)λDΔy=dλD...........(1)Now from the…

Q: Calculate the wavelength (in nm) of light that has its seventh minimum at an angle of 60.0° when…

Q: (c) What is the effect on diffraction pattern due to a single slit if: (i) Slit width is decreased.…

A: We know that, The first diffraction minimum occurs at the angles given by sin T = l / a Here, If we…

Q: Monochromatic light falls on a double slit, creating a diffraction pattern on a screen. If the…

A: The wavelength of the light in medium is, λ=λairn Here, n is the refractive index of the medium,…

Q: (b) Coherent light is diffracted by a single slit which is 15 um wide. The central maximum of the…

A: When a coherent light source is placed in front of a single narrow slit then this light bend at the…

Question

(i) In Young’s double slit experiment, deduce the condition for

(a) constructive,’ and

(b) destructive interference at a point on the screen. Draw a graph showing variation of intensity in the interference pattern against position ‘x’ on the screen.

(ii) Compare the interference pattern observed in Young’s double slit experiment with single slit diffraction pattern, pointing out three distinguishing features.

Expert Solution