Question

The third harmonic Of an organ pipe of length L open at one end has nodes at the closed end, 2L/5 from the closed end, and 4L/5 from the closed end. The open end is an antinode. What expression describes this wave? Take the speed of sound to be 336 m/s, the length of the pipe to be 2.0 m, and let x be the distance from the closed end.

46) The third harmonic of an organ pipe of length L open at one end has nodes at the closed end, ot an organ pipe of length L open at one end has nodes at the closed end, 2L/5 from the closed end, and 4L/5 from the closed end. The open end is an antinode. What expression om the closed end. The open end is an an describes this wave? Take the speed of sound to be 336 m/s, the length of the pipe to be 2.0 m, and let x be the distance from the closed end. A) A ) x] cos[(210 s-1) t + φ] B) A cos((3.9 m-1) x] sin(1.3x103 s-1) t + φ] C) A sin(0.625 m-1) x] sin(4.8x 10-3 s-1) t + φ] D) A sin[(3.9 m-1) x] sin[(1.3 103 s1)t+ E) A sin[(3.9 m-1) x] sin(210 s-1) t + φ] COs[(3.9 m-1

Answer 1

The wave equation is, Now. 2π 2π . = 3.9 m - λ (4(2) Hence, wave equation is Asin (3.9 m*) xsin(03x10,*)t+9) Therefore, option (D) is correct.