physics

posted by .

Both drawings show the same square, each of which has a side of length L = 0.86 m. An observer O is stationed at one corner of each square. Two loudspeakers are located at corners of the square, as in either drawing 1 or drawing 2. The speakers produce the same single-frequency tone in either drawing and are in phase. The speed of sound is 343 m/s. Find the single smallest frequency that will produce both constructive interference in drawing 1 and destructive interference in drawing 2.

  • physics -

    Fig.1: path difference Δ₁=0, since distances between each loudspeaker and point O are L
    For constructive interference Δ₁=2kλ/2=kλ (k(min)=0) => Δ₁=0.
    Fig.2:
    path difference Δ₂=L√2 – L= L(√2 –1)= 0.41L=0.353 m
    For destructive interference
    Δ₂=(2k+1)λ/2= λ/2,
    k(min)=0 => Δ₁=λ/2 =0.353 m
    => λ =2•0.353 =0.706 m
    λ=v/f => f= v/λ=
    =343/0.706 = 485.8 Hz

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Four 9.0kg- spheres are located at the corners of a square of side 0.60m . Calculate the magnitude of the gravitational force exerted on one sphere which is in left and down corner of the square by the other three. Express your answer …
  2. Physics

    The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -7.00 10-9 C placed …
  3. Physics

    Charges of +2.38 nC and -1.06 nC are located at opposite corners, A and C, respectively, of a square which is L = 1.13 m on a side. What is the electric potential at a third corner, B, of the square (where there is no charge)?
  4. physics

    The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -4.35 10-8 C placed …
  5. Physics

    The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -5 x 10-9 C placed …
  6. Physics

    The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -5 x 10-9 C placed …
  7. PHYSICS HELP!

    The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -5 x 10-9 C placed …
  8. Physics

    Both drawings show the same square, each of which has a side of length L=0.75 m. An observer O is stationed at one corner of each square. Two loudspeakers are locate at corners of the square, as in either drawing 1 or drawing 2. The …
  9. physics

    Both drawings show the same square, each of which has a side of length L = 0.86 m. An observer O is stationed at one corner of each square. Two loudspeakers are located at corners of the square, as in either drawing 1 or drawing 2. …
  10. physics

    The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -7.00 x 10-9 C placed …

More Similar Questions