List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength λ = 0.29 m enters these structures at the point S and a sound detector is placed at D. Between the points S and D, the sound travels only through the tubes. List-II contains the possible smallest values of l for which the detector D records maximum amplitude. Ignore effects of sharp corners. [Given cos15° = 0.97] Choose the option that best describes the match between the entries in List-I to those in List-II. Image
List 1
.
List 2
(1) 1.32 m
(2) 1.19 m
(3) 0.51 m
(4) 0.29 m
(5) 0.13 m
Options

Question

List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength λ = 0.29 m enters these structures at the point S and a sound detector is placed at D. Between the points S and D, the sound travels only through the tubes. List-II contains the possible smallest values of l for which the detector D records maximum amplitude. Ignore effects of sharp corners. [Given cos15° = 0.97] Choose the option that best describes the match between the entries in List-I to those in List-II. Image

List 1

.

List 2

(1) 1.32 m
(2) 1.19 m
(3) 0.51 m
(4) 0.29 m
(5) 0.13 m

Options

G1 Physics · Accepted Answer

For maximum amplitude, the path-length difference between the two available routes must be an integral multiple of λ. Applying this condition to each geometry gives P→3, Q→4, R→5 and S→2. Hence option D.