1.

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 isA. `cos^(-1).(1)/(sqrt(14))`B. `sin^(-1).(2)/(sqrt(14))`C. `cos^(-1).(2)/(sqrt(14))`D. `sin^(-1).(3)/(sqrt(14))`

Answer» Correct Answer - C
Here direction of light is given by normal vector `vec(n)=hati+2hatj+3hatk`
`:.` angle made by the `vec(n)` with y-axis is given by `cos beta= 2/(sqrt(1^(2)+2^(2)+3^(2)))=2/(sqrt(14))`


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