The figure above represents standing wave patterns in two identical tubes. The t

Question

The figure above represents standing wave patterns in two identical tubes. The tubes contain the same amount of water, and the standing waves are produced by holding a vibrating tuning fork near the top of each tube. What is the relationship between the wavelengths lambda^X and lambda_Y of the standing waves? (A) lambda_X = 1/7 lambda_Y (B) lambda_X = 2/7 lambda_Y (C) lambda_X = 7/2 lambda_Y (D) lambda_X = 7 lambda_Y A system consists of a disk rotating on a frictionless axle and a piece of clay moving toward it, as shown in the figure above. The outside edge of the disk is moving at a linear speed v, and the clay is moving at speed v/2. The clay sticks to the outside edge of the disk. How does the angular momentum of the system after the clay sticks compare to the angular momentum of the system before the clay sticks, and what is an explanation for the comparison? (A) It is the same because there is no external torque acting on the system. (B) It is greater because the rotating mass increases, which increases the rotational inertia. (C) It is less because the speed of the disk decreases when the clay sticks to it. (D) It is less because the angular momentum of the clay opposes that of the disk.

Explanation / Answer

19) A) lamdax = lamday/7

from figure, lamday/4 = 7*lamdax/4

==> lamday = 7*lamdax

==> lamdax = lamday/7

20) A) It is the same because there is no extenral torque acting on the system.

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