Relation between phase difference `(Delta phi)` and path difference `(Deltax`) is ......

Options

A. `Delta phi= (2pi)/(lamda) Delta x`
B. `Delta phi = 2pi lamda Delta x`
C. `Delta phi = (2pi lamda)/(Delta x)`
D. `Delta phi = (2 Deltax)/(lamda)`

Answer

A

Explanation

Wave-vector k indicates phase difference between two particles, separated by unit distance, along the directon of propagation of wave. Hence phase difference between two particles separated by distance `Delta x` would be:
`Delta phi = k (Delta x)`
`therefore Delta phi = (2pi )/(lamda ) Delta x (because k = (2pi )/(lamda ))`