Q 18:
18. The wavefront of a light beam is given by the equation x+2y+3z=c, (where c is a constant) then the angle made by the direction of light with the y-axis is.
(1) cos-11√14 (2) cos-12√14(3) sin -11√14 (4) sin -12√14
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Answer:
the wavefront equations must be of form ax+by+cz=1 where a
2
+b
2
+c
2
=1 (a,b,c are cosines of angles made with x,y,z axes respectively)
applying this to the given equation ,
1
2
+2
2
+3
2
=c
2
c
2
=14
c=
14
angle made with y-axis is cos
−1
14
2
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