Advertisements
Advertisements
प्रश्न
What must be the ratio of the slit width to the wavelength of light for a single slit to have the first diffraction minimum at 45.0°?
उत्तर
Data: θ = 45°, m = 1
a sin θ = mλ for (m = 1, 2, 3... minima)
Here, m = 1 (First minimum)
∴ a sin 45° = (1)λ
∴ `"a"/lambda = 1/(sin 45^circ)`
∴ `"a"/lambda` = 1.414
APPEARS IN
संबंधित प्रश्न
In Fraunhoffer diffraction by a narrow slit, a screen is placed at a distance of 2 m from the lens to obtain the diffraction pattern. If the slit width is 0.2 mm and the first minimum is 5 mm on either side of the central maximum, find the wavelength of light.
What is the diffraction of light? How does it differ from interference? What are Fraunhofer and Fresnel diffractions?
Derive the conditions for bright and dark fringes produced due to diffraction by a single slit.
In a single slit diffraction pattern, the first minima obtained with the red light of wavelength 6600 A.U. coincides with the first maxima f some other wavelength λ then is ______
What must be the ratio of the slit width to the wavelength for a single slit, to have the first diffraction minimum at 45˚?
Explain Fraunhofer diffraction at a single slit with a neat ray diagram. Obtain an expression for the width of the central bright fringe.
Light of wavelength 'λ' is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then 'D' is equal to ______.
A slit of width a is illuminated by white light. For red light `(λ = 6500 Å)`, the first minima is obtained at θ = 60°. Then the value of a will be ______.
For Fraunhofer diffraction to occur ____________.
In a single slit diffraction experiment. fir t minimum for red light (589 nm) coincides with first maximum of some other wavelength `lambda'`. The value of `lambda'` is ______.
The angular spread of central maximum, in diffraction pattern, does not depend on ______.
In a single slit diffraction experiment, first minimum for a light of wavelength 480 nm coincides with the first maximum of another wavelength `lambda.` Then `lambda'` is ____________.
The diffraction fringes obtained by a single slit are of ____________.
Select the CORRECT statement from the following.
A plane wavefront of wavelength `lambda`. is incident on a slit of width a. The angular width of principal maximum is ______.
When two coherent sources in Young's experiment are far apart, then interference pattern ______
A physical quantity P is described by the relation p = a1/2 b2 c3 d-4. If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%, then the relative error in P will be ______.
The fringe width in a Young's double slit experiment can be increased if we decrease ______.
The increase in energy of a metal bar of length 'L' and cross-sectional area 'A' when compressed with a load 'M' along its length is ______.
(Y = Young's modulus of the material of metal bar)
In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2 m away from the lens. If wavelength of light used is 5000 Å, then the distance between the first minimum on either side of the central maximum is ______. (θ is small and measured in radian)
In Fraunhoffer diffraction experiment, L is the distance between the screen and the obstacle, b is the size of the obstacle and λ is the wavelength of the incident light. The general condition for the applicability of Fraunhoffer diffraction is ______.
A mixture of light, consisting of wavelength 590 nm and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping intererence patterns on the screen. The central maximum of both lights coincides.
Further, it is observed that the third bright fringe of known light coincides with the 4th bright fringe of the unknown light. From this data the wavelength of the unknown light is ______.
In a Young’s experiment, two coherent sources are placed 0.90 mm apart and the fringes are observed one metre away. If it produces the second dark fringe at a distance of 1mm from the central fringe, then the wavelength of monochromatic light used will be ______.
In a Young's double slit experiment carried out with light of wavelength λ = 5000 Å, the distance between the slits is 0.2 mm and the screen is at 200 cm from the slits. The central maximum is at x = 0. The third maximum (taking the central maximum as zeroth maximum) will be at x equal to ______.
In Young's double slit experiment, which of the following graph represents the correct variation of fringe width β versus distance D between sources and screen?
In a biprism experiment, the slit is illuminated by red light of wavelength 6400 A and the crosswire of eyepiece is adjusted to the centre of 3rd bright band. By using blue light it is found that 4th bright band is at the centre of the cross wire. Calculate the wavelength of blue light.
