The wavefront of a light beam is given by the equation x + 2y + 3x = c (where c is arbitrary constant), then the angle made by the direction of light with the y-axis is
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a
cos−1114
b
sin−1214
c
cos−1214
d
sin−1314
answer is C.
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Detailed Solution
The direction of light beam is perpendicular to the plane wavefront. ∴ direction of light is given by normal vector n^ = i^ + 2j^+3j^12+22+32 = i^ + 2j^+3j^14 Hence, Angle made by the n^ with y-axis is given by cosβ= n^ . j^ =( i^ + 2j^+3j^14) . (j^) =214
The wavefront of a light beam is given by the equation x + 2y + 3x = c (where c is arbitrary constant), then the angle made by the direction of light with the y-axis is