A wave front is represented by the plane y=3-x The propagation of wave takes place at

Question

A wave front is represented by the plane y=3-x The propagation of wave takes place at (A)  45° with x-direction (B)  135° with x-direction (C)  60° with x-direction (D) No sufficient data

Tardigrade Admin · Accepted Answer

The propagation of ray takes place in perpendicular direction of wavefront. Here, m1m2=-1 m1= slope of wave front =-1 m2= slope of ray (-1)m2=-1⇒ m2=1 tan θ =1⇒ θ =45o

Q. A wave front is represented by the plane $y = 3 - x$ The propagation of wave takes place at

$45^{\circ}$ with x-direction

$135^{\circ}$ with x-direction

$60^{\circ}$ with x-direction

No sufficient data

The propagation of ray takes place in perpendicular direction of wavefront. Here, $m_{1} m_{2} = - 1$ $m_{1} =$ slope of wave front $= - 1$ $m_{2} =$ slope of ray $(- 1) m_{2} = - 1 \Rightarrow m_{2} = 1$ $tan θ = 1 \Rightarrow θ = 45^{o}$

Q. A wave front is represented by the plane y=3−x The propagation of wave takes place at

45∘ with x-direction

135∘ with x-direction

60∘ with x-direction