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What is the Effect on the Fringe Width If the Distance Between the Slits is Reduced Keeping Other Parameters Same? - Physics

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प्रश्न

What is the effect on the fringe width if the distance between the slits is reduced keeping other parameters same?

उत्तर

As we know that the fringe width is given by
β = λD/d
           
Hence, if the distance between the slits is reduced then the width of the fringes increases. In that case, fewer nodal regions are produced on the screen and the fringes will become wider but less in number.

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2014-2015 (March) Patna Set 2

संबंधित प्रश्‍न

In Young’s experiment interference bands were produced on a screen placed at 150 cm from two slits, 0.15 mm apart and illuminated by the light of wavelength 6500 Å. Calculate the fringe width.


The slits in a Young's double slit experiment have equal width and the source is placed symmetrically with respect to the slits. The intensity at the central fringe is I0. If one of the slits is closed, the intensity at this point will be ____________ .


A plate of thickness t made of a material of refractive index µ is placed in front of one of the slits in a double slit experiment. (a) Find the change in the optical path due to introduction of the plate. (b) What should be the minimum thickness t which will make the intensity at the centre of the fringe pattern zero? Wavelength of the light used is \[\lambda.\] Neglect any absorption of light in the plate.


White coherent light (400 nm-700 nm) is sent through the slits of a Young's double slit experiment (see the following figure). The separation between the slits is 0⋅5 mm and the screen is 50 cm away from the slits. There is a hole in the screen at a point 1⋅0 mm away (along the width of the fringes) from the central line. (a) Which wavelength(s) will be absent in the light coming from the hole? (b) Which wavelength(s) will have a strong intensity?


In a Young's double slit interference experiment, the fringe pattern is observed on a screen placed at a distance D from the slits. The slits are separated by a distance d and are illuminated by monochromatic light of wavelength \[\lambda.\] Find the distance from the central point where the intensity falls to (a) half the maximum, (b) one-fourth the maximum.


"If the slits in Young's double slit experiment are identical, then intensity at any point on the screen may vary between zero and four times to the intensity due to single slit".

Justify the above statement through a relevant mathematical expression.


A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flight in two cases, then what is the product of two times of flight?


Why is the diffraction of sound waves more evident in daily experience than that of light wave?


In Young's double slit experiment, the distance of the 4th bright fringe from the centre of the interference pattern is 1.5 mm. The distance between the slits and the screen is 1.5 m, and the wavelength of light used is 500 nm. Calculate the distance between the two slits.


In Young’s double slit experiment, how is interference pattern affected when the following changes are made:

  1. Slits are brought closer to each other.
  2. Screen is moved away from the slits.
  3. Red coloured light is replaced with blue coloured light.

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