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The wavefronts of a light wave travellil...

The wavefronts of a light wave travellilng in vacuum are given by `x+y+z=c`. The angle made by the direction of propagation of light with the X-axis is

A

`0^(@)`

B

`45^(@)`

C

`90^(@)`

D

`cos^(-1)(1//sqrt3)`

Text Solution

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The correct Answer is:
D
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Huygen was the figure scientist who proposed the idea of wave theory of light he said that the light propagates in form of wavelengths. A wavefront is a imaginary surface of every point of which waves are in the same. phase. For example the wavefront for a point source of light is collection of concentric spheres which have centre at the origin w_(1) is a wavefront w_(2) is another wavefront. The radius of the wavefront at time 't' is 'ct' in thic case where 'c' is the speed of light the direction of propagation of light is perpendicular to the surface of the wavelength. the wavefronts are plane wavefronts in case of a parallel beam of light. Huygen also said that every point of the wavefront acts as the source of secondary wavelets. The tangent drawn to all secondary wavelets at a time is the new wavefront at that time. The wavelets are to be considered only in the forward direction (i.e., the direction of propagation of light) and not in the reverse direction if a wavefront w_(1) and draw spheres of radius 'cDeltat' they are called secondary wavelets. Draw a surface w_(2) which is tangential to all these secondary wavelets w_(2) is the wavefront at time t+Deltat Huygen proved the laws of reflection and laws of refraction using concept of wavefront. Q. A point source of light is placed at origin, in air. the equation of wavefront of the wave at time t, emitted by source at t=0 is (take refractive index of air as 1)

Huygen was the figure scientist who proposed the idea of wave theory of light he said that the light propagates in form of wavelengths. A wavefront is a imaginary surface of every point of which waves are in the same. phase. For example the wavefront for a point source of light is collection of concentric spheres which have centre at the origin w_(1) is a wavefront w_(2) is another wavefront. The radius of the wavefront at time 't' is 'ct' in thic case where 'c' is the speed of light the direction of propagation of light is perpendicular to the surface of the wavelength. the wavefronts are plane wavefronts in case of a parallel beam of light. Huygen also said that every point of the wavefront acts as the source of secondary wavelets. The tangent drawn to all secondary wavelets at a time is the new wavefront at that time. The wavelets are to be considered only in the forward direction (i.e., the direction of propagation of light) and not in the reverse direction if a wavefront w_(1) and draw spheres of radius 'cDeltat' they are called secondary wavelets. Draw a surface w_(2) which is tangential to all these secondary wavelets w_(2) is the wavefront at time t+Deltat Huygen proved the laws of reflection and laws of refraction using concept of wavefront. Q. Spherical wavefronts shown in figure, strike a plane mirror. reflected wavefront will be as shown in

Huygen was the figure scientist who proposed the idea of wave theory of light he said that the light propagates in form of wavelengths. A wavefront is a imaginary surface of every point of which waves are in the same. phase. For example the wavefront for a point source of light is collection of concentric spheres which have centre at the origin w_(1) is a wavefront w_(2) is another wavefront. The radius of the wavefront at time 't' is 'ct' in thic case where 'c' is the speed of light the direction of propagation of light is perpendicular to the surface of the wavelength. the wavefronts are plane wavefronts in case of a parallel beam of light. Huygen also said that every point of the wavefront acts as the source of secondary wavelets. The tangent drawn to all secondary wavelets at a time is the new wavefront at that time. The wavelets are to be considered only in the forward direction (i.e., the direction of propagation of light) and not in the reverse direction if a wavefront w_(1) and draw spheres of radius 'cDeltat' they are called secondary wavelets. Draw a surface w_(2) which is tangential to all these secondary wavelets w_(2) is the wavefront at time t+Deltat Huygen proved the laws of reflection and laws of refraction using concept of wavefront. Q. Wavefronts incident on an interface between the media are shown in the figure. the refracted wavefront will be as shown in

Huygen was the figure scientist who proposed the idea of wave theory of light he said that the light propagates in form of wavelengths. A wavefront is a imaginary surface of every point of which waves are in the same. phase. For example the wavefront for a point source of light is collection of concentric spheres which have centre at the origin w_(1) is a wavefront w_(2) is another wavefront. The radius of the wavefront at time 't' is 'ct' in thic case where 'c' is the speed of light the direction of propagation of light is perpendicular to the surface of the wavelength. the wavefronts are plane wavefronts in case of a parallel beam of light. Huygen also said that every point of the wavefront acts as the source of secondary wavelets. The tangent drawn to all secondary wavelets at a time is the new wavefront at that time. The wavelets are to be considered only in the forward direction (i.e., the direction of propagation of light) and not in the reverse direction if a wavefront w_(1) and draw spheres of radius 'cDeltat' they are called secondary wavelets. Draw a surface w_(2) which is tangential to all these secondary wavelets w_(2) is the wavefront at time t+Deltat Huygen proved the laws of reflection and laws of refraction using concept of wavefront. Q. Plane are incident on a spherical mirror as shown in the figure. the reflected wavefronts will be

DISHA PUBLICATION-WAVE OPTICS-EXERCISE-1 : CONCEPT BUILDER
  1. According to Huygen's construction , tangential envelope which touches...

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  2. A wave front AB passing through a system C emerges as DE. The system C...

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  3. The wavefronts of a light wave travellilng in vacuum are given by x+y+...

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  4. Find the minimum thcknessof a film which will strongly reflect the lig...

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  5. A parallel beam of white light is reflected from a thin wedge shaped f...

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  6. The path difference between two wavefronts emitted by coherent sources...

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  7. To deminstrate the phenimenon of interference, we require two sources ...

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  8. When a thin transparent plate of thickness t and refractive index mu i...

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  9. The intensity ratio of two waves is 9:1. If they produce interference,...

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  10. Interference was observed in interference chamber when air was present...

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  11. White light falls normally on a film of soap water whose thickness is ...

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  12. Two coherent light sources, each of wavelength lambda, are separated b...

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  13. Two coherent sources separated by distance d are radiating in phase ha...

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  14. Interference pattern is observed at 'P' due to superimposition of two ...

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  15. Two coherent monochromatic light beams of intensities I and 4I are sup...

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  16. The path difference between two interfering waves at a point on screen...

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  17. For the two parallel rays AB and DE shown here, BD is the wavefront. F...

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  18. In the adjacent diagram, CP represents a wavefront and AO & BP, the co...

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  19. Two beam of light having intensities I and 4I interfere to produce a f...

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  20. Light from two coherent sources of the same amplitude A and wavelength...

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