Wave to travel the path apb

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Reference no: EM131353196

All the lettered points in given Figure lie in one plane. The line CD separates the plane into two regions: on the left, a wave has the speed w; and on the right, the speed w.

Show by the method of Lagrangian multipliers that the time for the wave to travel the path APB is a minimum when w/w' = sin Φ /sin Φ'.

1878_Figure 1.jpg

Reference no: EM131353196

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Wave to travel the path apb : Show by the method of Lagrangian multipliers that the time for the wave to travel the path APB is a minimum when w/w' = sin Φ /sin Φ'.

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