A Planar Cross Section Through Two Spherical Waves Emanating from the Sources

question 43

Multiple Choice

A planar cross section through two spherical waves emanating from the sources S₁ and S₂ in the plane is shown in the figure. S₁ and S₂ are in phase. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the waves shown arriving at P₂ both arrive with amplitude A, the resultant amplitude at point P₂ is

• A)0.
• B) .
• C)A.
• D) .
• E)2A.

---

Definitions:

\(n + 2\)

Represents an algebraic expression in which 2 is added to a variable n.

\(n + 1\)

An expression representing one more than a given number \(n\).

\(( n + 6 ) !\)

A notation indicating the factorial of n plus 6, meaning the product of all positive integers up to n+6.

\(( n + 3 ) !\)

Denotes the factorial of the sum of a variable n and 3, representing the product of all positive integers up to and including (n+3).