Water fills a length of 25 cm of a U tube.Water is slightly displaced and allowed to move freely inside the tube. Assuming the amount of water in the curved section of the U-tube is negligible,what is the period of its motion?

Question

Water fills a length of 25 cm of a U tube.Water is slightly displaced and allowed to move freely inside the tube.  Assuming the amount of water in the curved section of the U-tube is negligible,what is the period of its motion?

Quizplus · Accepted Answer

The period of motion for a simple harmonic oscillator is given by T=2π√(m/k), where m is the mass and k is the spring constant. In this case, we can assume that the mass of the water being displaced is negligible compared to the restoring force of gravity (k). Therefore, we can use T=2π√(L/g), where L is the length of the displaced water and g is the acceleration due to gravity. In this problem, L = 25/2 cm = 0.125 m. Plugging this into the equation, we get T = 2π√(0.125/9.81) = 1.41 s. Therefore, the answer is B.

Water Fills a Length of 25 Cm of a U