Advertisements
Advertisements
Question
In a diffraction pattern due to a single slit, how will the angular width of the central maximum change, if orange light is used in place of green light?
Justify your answer.
Solution
The angular width of central maxima of a single slit diffraction pattern is 2θ = `(2λ)/"a"`
Angular width of central maxima ∝ wavelength of light used. Orange light has a higher wavelength than that green light. So, the Angular width of the central maxima will be more when orange light is used instead of green light.
APPEARS IN
RELATED QUESTIONS
A point is situated at 7cm and 7·2 cm from two coherent sources. Find the· nature of illumination at the point if wavelength of light is 4000A.
For a single slit of width "a", the first minimum of the interference pattern of a monochromatic light of wavelength λ occurs at an angle of λa. At the same angle of λa, we get a maximum for two narrow slits separated by a distance "a". Explain.
Two wavelengths of sodium light of 590 nm and 596 nm are used in turn to study the diffraction taking place at a single slit of aperture 2 × 10−6 m. The distance between the slit and the screen is 1·5 m. Calculate the separation between the positions of first maxima of the diffraction pattern obtained in the two cases.
The magnifying power of a telescope in normal adjustment is 24, when the length of the telescope tube 1 meter. The focal length of the eye lens is
Four identical monochromatic sources A, B, C, D as shown in the (Figure) produce waves of the same wavelength λ and are coherent. Two receiver R1 and R2 are at great but equal distances from B.
- Which of the two receivers picks up the larger signal?
- Which of the two receivers picks up the larger signal when B is turned off?
- Which of the two receivers picks up the larger signal when D is turned off?
- Which of the two receivers can distinguish which of the sources B or D has been turned off?
Write two points of difference between an interference pattern and a diffraction pattern.
How can you differentiate whether a pattern is produced by a single slit or double slit?
Derive the expression for the angular position of (i) bright and (ii) dark fringes produced in a single slit diffraction.
In a single slit Fraunhofer diffraction experiment, how does the angular width of the central maximum change when the slit width is Increased?
Draw a labelled graph showing the variation in intensity of diffracted light with diffracting angle in a single slit Fraunhofer diffraction experiment.