Science, asked by revathiprasadkpm, 9 months ago

The wave front of a light
beam is given by the
equation x+2y+3z=c, (where
cis arbitrary constant) then
the angle made by the
direction of light with the Y-
axis is​

Answers

Answered by Anonymous
7

\rule{200}2

\Huge{\red{\underline{\textsf{Answer}}}}

The wavefront equations must be of form \sf{ax + by + cz = 1} where  \sf{a^{2} + b^{2} + c^{2} = 1} (a, b, c are the cosines of angles made with x, y, z axis respectively.)

applying this to the given equation

\longrightarrow \sf{1^{2} + 2^{2} + 3^{2} = c^{2}}

\longrightarrow \sf{c^{2} = 14}

\longrightarrow \sf{c = \sqrt 14}

angle made with y axis is  \sf{cos^{-1}} = \sf\dfrac{2}{\sqrt 14}

\rule{200}2

Answered by ItzUnic0rns
58

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