1. What is the center of oscillation in a compound pendulum?
The point where the entire weight of the pendulum acts
The point where, if the entire mass were concentrated, the time period would remain unchanged
The point where the pendulum is suspended from
The point at which a pendulum stops oscillating
2. What defines the center of percussion of a pendulum?
The point where an impact does not cause a reactive force at the pivot
The point at which the pendulum is suspended
The point of maximum oscillation
The point where an impact causes maximum force at the pivot
3. What is the center of suspension in a pendulum?
The point of maximum amplitude
The point of equilibrium in oscillatory motion
The point where the pendulum's mass is concentrated
The point where the pendulum is hung and oscillates about
4. What is the center of mass of a body?
The geometric center of the object
The point where the entire mass can be considered concentrated for translational motion
The point from which the pendulum hangs
The point where all gravitational forces cancel out
5. How is the center of gravity best defined?
The same as the center of oscillation
The point where net torque is zero
The point where the gravitational field is strongest
The point at which the entire weight of the body acts for analyzing gravitational effects
6. Which of the following statements best explains why Kater's Pendulum is considered better than a Bar Pendulum for measuring gravity?
Kater's Pendulum is shorter and lighter than a Bar Pendulum, making it easier to handle.
Bar Pendulum is more accurate because it has fewer components.
Kater's Pendulum eliminates the effects of air resistance and friction through knife-edge suspension and reversibility, leading to more accurate measurements.
Kater's Pendulum is better because it is simpler to construct and use.
7. What is the primary purpose of Kater's Pendulum?
To demonstrate the principles of oscillation
To compare different types of pendulums
To measure the time period of a simple pendulum
To measure the acceleration due to gravity with high precision
8. What is the main advantage of using Kater's Pendulum over a simple pendulum?
It provides a more accurate measurement of gravitational acceleration by allowing for adjustments to eliminate errors.
It can be used in any environment without adjustments.
It is easier to set up and requires less space.
It can be used to measure other physical constants.
9. What defines a simple pendulum?
A heavy particle suspended from a fixed support by a light inextensible string
A pendulum with mass distributed along its length
A rigid body oscillating about a horizontal axis
A system of pendulums of varying lengths connected to a bar
10. Which of the following best describes a compound pendulum?
A particle suspended from a light string
A mass on a string swinging in a circular path
A rigid body oscillating about a horizontal axis in a vertical plane
A set of pendulums transferring energy to each other
11. What distinguishes a compound pendulum from a simple pendulum?
It has mass distributed along its length and a moment of inertia
It swings faster than a simple pendulum
It uses a spring instead of a string
It oscillates in a horizontal rather than a vertical plane
12. What is Barton’s Pendulum known for?
Using a spring for its motion
Its oscillation in a conical path
Being a rigid body with a fixed pivot point
Having multiple pendulums of varying lengths transferring energy through a common bar
13. What describes a conical pendulum?
A mass on a string that swings in horizontal circles, tracing a cone
A pendulum that oscillates in a straight line
A pendulum system used to transfer energy among multiple masses
A heavy particle on a rigid rod swinging back and forth
14. Which of the following is a reason why Kater's Pendulum is considered more accurate than a Bar Pendulum for measuring gravity?
It eliminates effects of air resistance and friction using a knife-edge suspension and reversible design
It uses electronic sensors for precise timing
It is shorter in length and swings faster
It is easier to construct and calibrate
15. Why is Kater’s Pendulum referred to as a 'reversible pendulum'?
It uses a reversible magnet system for calibration
It oscillates in both vertical and horizontal planes
It reverses its direction automatically after every swing
It can be swung from two pivot points and the periods of oscillation are the same
16. What is the 'effective length' in Kater's Pendulum?
The length of the metal rod used in the pendulum
The total height from the pivot to the ground
The arc length traced by the pendulum's motion
The distance between the center of oscillation and the center of suspension
17. How does Kater’s Pendulum allow for accurate measurement of gravity without knowing the exact center of mass?
By suspending it in a vacuum chamber
By using a perfectly uniform rod
By using a digital sensor to detect motion
By ensuring the same period of oscillation from both pivot points and using the distance between them
18. What must be measured in Kater’s Pendulum to calculate the acceleration due to gravity accurately?
The diameter of the pendulum’s rod
The air resistance and damping force
The weight and volume of the pendulum
The distance between the pivots and the periods of oscillation
