Question

What is b and c? Please show work.

Chapter 27, Problem 03 Your answer is partially correct. Try again. Two in-phase sources of waves are separated by a distance of 3.94 m. These sources produce identical waves that have a wavelength of 5.30 m. On the line between them, there are two places at which the same type of interference occurs. (a) Is it constructive or destructive interference? (b) and (c) Where are these places located (the smaller distance should be the answer to (b))? (a) destructive (b) Number 3.3 Units m (c) NumberT0.65 Units m Click if you would like to Show Work for this question: Open Show Work

Answer 1

___________________________

(a)

destructive

___________________________

(b)

distance between two sources, d = 3.94 m

let x is the distance from one source where destructive interference takes place.

so, path difference, r2 - r1 = lamda/2

(d-x) - x = lamda/2

3.94 - x - x = 5.30/2

3.94 - 2*x = 2.65

2*x = 3.94-2.65

x = (3.94-2.65)/2

x = 0.645 m  

___________________________

(c)

d - x = 3.94 - 0.645

d = 3.295 m

___________________________

Please rate

if any mistake in this answer please comment i will clarify your doubt . thank you