The bob of a simple pendulum is a spherical h | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L_{eff}}{g}}$,where $L_{eff}$ is the distance between the point of suspensi

Vedclass · Accepted Answer

first increase and then decrease to the original value

Vedclass · Answer

(B) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L_{eff}}{g}}$,where $L_{eff}$ is the distance between the point of suspension and the center of mass of the bob.Initially,the center of mass of the water-filled sphere is at its geometric center.As water starts leaking out from the bottom,the center of mass of the remaining water shifts downwards. This increases the effective length $L_{eff}$ of the pendulum.Since $T \propto \sqrt{L_{eff}}$,the time period $T$ increases as the center of mass moves down.When the water is completely drained,the center of mass returns to the geometric center of the sphere,so the effective length returns to its original value,and the time period decreases back to its original value.Therefore,the time period first increases and then decreases to the original value.

The bob of a simple pendulum is a spherical hollow ball filled with water. $A$ plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation,till water is coming out,the time period of oscillation would

Similar Questions

In a stationary lift,the time period of a simple pendulum is $T$. If the lift starts accelerating downwards with an acceleration of $\frac{g}{4}$,then the new time period of the pendulum will be:

$A$ string of a pendulum of length $l$ is displaced through $90^{\circ}$ from its vertical and released. Then,the minimum strength of the string needed to withstand the tension as the pendulum passes through its mean position is

If a simple pendulum is taken to a place where $g$ decreases by $2\%$,then the time period:

If the length of a simple pendulum is increased by $300\%$,then the time period will be increased by ..... $\%$

Two pendulums of length $121 \ cm$ and $100 \ cm$ start vibrating in phase. At some instant,the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module