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To deminstrate the phenimenon of interfe...

To deminstrate the phenimenon of interference, we require two sources which emit radiation

A

nearly the same frequency

B

the same frequency

C

different wavelength

D

the same frequency and having a definite phase relationship

Text Solution

Verified by Experts

The correct Answer is:
D
To demonstrate the phenomenon of interference we reqruired coherent sources. i.e., sources with same frequency and a fixed phase relationship.
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To demonstrate the phenomenon of interference we require two sources which emit radiation

For steady interference, two two sources of light must be

Knowledge Check

  • To obtain a sustained interference pattern, we require two sources which emit radiation of

    A
    the same frequency
    B
    nearly the same frequency
    C
    the same frequecy and have a definite phase relationship
    D
    different wavelengths

  • The phenomenon of interference is observed when two source have

    A
    nearly same frequency
    B
    exactly same wavelength
    C
    same frequency and constant phase difference
    D
    same frequency and varying phase difference

  • To obtain a sustained iterference pattern, we requie two sourece which emit radiation of

    A
    the same frquency
    B
    nearly the same frequency
    C
    the same frequency and have a defined phase relationship
    D
    different wavelenghths

    • Similar Questions

    Explore conceptually related problems

    Two independent light sources are always incoherent. This is because phase of light emitted is random and phase difference, at any point, changes very rapidly with time. So as to obtain observable interference, we require coherent sources which emit light of same wavelength such that phase difference at any point does not change with time. In different interference experiments, the method to obtain two coherent sources could be different. In Fresnel's biprism experiment, two virtual images of a real source, which are formed due to refraction at the biprism, act as coherent source. In Lloyd’s mirror experiment, a real source and its virtual image formed due to reflection at a plane mirror act as coherent source. Two images of a source or a source and its image are coherent because of their phase correlation. It is also possible to obtain coherent sources by forming two images of a point source in the following manner.As shown in the figure, S is a monochromatic point source. A thin circular lens is cut into two identical halves L, and L_(2) by a plane passing through a diameter. L_(1) is kept above the axis and L_(2) below it is in a symmetrical manner such that the gap between the two is 0.1 mm. Each forms an image Qf the source and the two images, say, Si and S_(2) , act as coherent sources. Superposition of waves from these coherent sources will result in observable interference and a pattern can be obtained on a screen.The lens which has been cut to from L, and L_(2) is made of a material of refractive index 1.5 for the wavelength emitted by the source S. Radius of curvature of each surface of the lens is 18 cm. Source S is 30 cm along the axis fro Li and L_(2) . It is found that smallest distance from O along the screen at which intensity is half of the maximum intensity is 0.1 mm. It is also observed that the highest order of maximum intensity in the interference patter is 416. Q Distance of a point from O, at which the sixth order minimum is formed, will be

    Two independent light sources are always incoherent. This is because phase of light emitted is random and phase difference, at any point, changes very rapidly with time. So as to obtain observable interference, we require coherent sources which emit light of same wavelength such that phase difference at any point does not change with time. In different interference experiments, the method to obtain two coherent sources could be different. In Fresnel's biprism experiment, two virtual images of a real source, which are formed due to refraction at the biprism, act as coherent source. In Lloyd’s mirror experiment, a real source and its virtual image formed due to reflection at a plane mirror act as coherent source. Two images of a source or a source and its image are coherent because of their phase correlation. It is also possible to obtain coherent sources by forming two images of a point source in the following manner.As shown in the figure, S is a monochromatic point source. A thin circular lens is cut into two identical halves L, and L_(2) by a plane passing through a diameter. L_(1) is kept above the axis and L_(2) below it is in a symmetrical manner such that the gap between the two is 0.1 mm. Each forms an image Qf the source and the two images, say, Si and S_(2) , act as coherent sources. Superposition of waves from these coherent sources will result in observable interference and a pattern can be obtained on a screen.The lens which has been cut to from L, and L_(2) is made of a material of refractive index 1.5 for the wavelength emitted by the source S. Radius of curvature of each surface of the lens is 18 cm. Source S is 30 cm along the axis fro Li and L_(2) . It is found that smallest distance from O along the screen at which intensity is half of the maximum intensity is 0.1 mm. It is also observed that the highest order of maximum intensity in the interference patter is 416. QDistance between the images Si and S_(2) will be

    Two independent light sources are always incoherent. This is because phase of light emitted is random and phase difference, at any point, changes very rapidly with time. So as to obtain observable interference, we require coherent sources which emit light of same wavelength such that phase difference at any point does not change with time. In different interference experiments, the method to obtain two coherent sources could be different. In Fresnel's biprism experiment, two virtual images of a real source, which are formed due to refraction at the biprism, act as coherent source. In Lloyd’s mirror experiment, a real source and its virtual image formed due to reflection at a plane mirror act as coherent source. Two images of a source or a source and its image are coherent because of their phase correlation. It is also possible to obtain coherent sources by forming two images of a point source in the following manner.As shown in the figure, S is a monochromatic point source. A thin circular lens is cut into two identical halves L, and L_(2) by a plane passing through a diameter. L_(1) is kept above the axis and L_(2) below it is in a symmetrical manner such that the gap between the two is 0.1 mm. Each forms an image Qf the source and the two images, say, Si and S_(2) , act as coherent sources. Superposition of waves from these coherent sources will result in observable interference and a pattern can be obtained on a screen.The lens which has been cut to from L, and L_(2) is made of a material of refractive index 1.5 for the wavelength emitted by the source S. Radius of curvature of each surface of the lens is 18 cm. Source S is 30 cm along the axis fro Li and L_(2) . It is found that smallest distance from O along the screen at which intensity is half of the maximum intensity is 0.1 mm. It is also observed that the highest order of maximum intensity in the interference patter is 416. Q0.25 mm

    Two independent light sources are always incoherent. This is because phase of light emitted is random and phase difference, at any point, changes very rapidly with time. So as to obtain observable interference, we require coherent sources which emit light of same wavelength such that phase difference at any point does not change with time. In different interference experiments, the method to obtain two coherent sources could be different. In Fresnel's biprism experiment, two virtual images of a real source, which are formed due to refraction at the biprism, act as coherent source. In Lloyd’s mirror experiment, a real source and its virtual image formed due to reflection at a plane mirror act as coherent source. Two images of a source or a source and its image are coherent because of their phase correlation. It is also possible to obtain coherent sources by forming two images of a point source in the following manner.As shown in the figure, S is a monochromatic point source. A thin circular lens is cut into two identical halves L, and L_(2) by a plane passing through a diameter. L_(1) is kept above the axis and L_(2) below it is in a symmetrical manner such that the gap between the two is 0.1 mm. Each forms an image Qf the source and the two images, say, Si and S_(2) , act as coherent sources. Superposition of waves from these coherent sources will result in observable interference and a pattern can be obtained on a screen.The lens which has been cut to from L, and L_(2) is made of a material of refractive index 1.5 for the wavelength emitted by the source S. Radius of curvature of each surface of the lens is 18 cm. Source S is 30 cm along the axis fro Li and L_(2) . It is found that smallest distance from O along the screen at which intensity is half of the maximum intensity is 0.1 mm. It is also observed that the highest order of maximum intensity in the interference patter is 416. Q Phase difference between the light waves 0.1 mm from along the screen, where intensity is half the maximum value, is

    Two independent light sources are always incoherent. This is because phase of light emitted is random and phase difference, at any point, changes very rapidly with time. So as to obtain observable interference, we require coherent sources which emit light of same wavelength such that phase difference at any point does not change with time. In different interference experiments, the method to obtain two coherent sources could be different. In Fresnel's biprism experiment, two virtual images of a real source, which are formed due to refraction at the biprism, act as coherent source. In Lloyd’s mirror experiment, a real source and its virtual image formed due to reflection at a plane mirror act as coherent source. Two images of a source or a source and its image are coherent because of their phase correlation. It is also possible to obtain coherent sources by forming two images of a point source in the following manner.As shown in the figure, S is a monochromatic point source. A thin circular lens is cut into two identical halves L, and L_(2) by a plane passing through a diameter. L_(1) is kept above the axis and L_(2) below it is in a symmetrical manner such that the gap between the two is 0.1 mm. Each forms an image Qf the source and the two images, say, Si and S_(2) , act as coherent sources. Superposition of waves from these coherent sources will result in observable interference and a pattern can be obtained on a screen.The lens which has been cut to from L, and L_(2) is made of a material of refractive index 1.5 for the wavelength emitted by the source S. Radius of curvature of each surface of the lens is 18 cm. Source S is 30 cm along the axis fro Li and L_(2) . It is found that smallest distance from O along the screen at which intensity is half of the maximum intensity is 0.1 mm. It is also observed that the highest order of maximum intensity in the interference patter is 416. Q Fringe width is nearly

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