What is wavefront ? explain law of reflection of light on the basis of Hyghen's wave theory.
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Answer:
Answer
Reflection at plane surface
As shown in figure , consider a plane wavefront AB incident on the plane reflecting surface AY, both the wavefront and the reflecting surface being perpendicular to the plane to the plane of paper
First the wavefront touches the reflecting surface at and then at the succesive point toward C. In accordance with Huygen's principle , from ech point on BC, secondary wavelets start growing with the speed c. During the time the disturbance from A reaches the point C, the secondary wavelets from B must have spread over a hemisphere of radius BD = AC = vt, where t is the time taken by the disturbance to travel from A to C . The tangent plane CD from the point C over this hemisphere of radius vt will be the new reflected wavefront .
Let angles of incidence and reflection be i and r respectively .In △ABC and △DCB, we have
∠BAC=∠CDB (each is 90
∘
)
AC = BD ( each is equal to ct )
△ABC≅≅△DCB
Hence ∠ABC=∠DCB
∴i=r
i.e the angle of incident is equal to the angle of refection. This prove the first law reflection. Further, since the incident ray SB, the normal BN and the reflected ray BD are respectively perpendicular to the incident wavefront AB the reflecting surface XY and the reflected wavefront CD (all of which are perpendicular to the plane of the paper ) , therefore , they all lie in the plane of the plane of the paper , i.e., in the same phase. This proves the second law of reflecting.
Explanation:
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Answer:
a surface containing points affected in the same way by a wave at a given time.
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