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Questions and Answers
What is the primary aim of the experiment described?
What is the primary aim of the experiment described?
What is the purpose of the two movable knife edges K1 and K2 in Kater's pendulum?
What is the purpose of the two movable knife edges K1 and K2 in Kater's pendulum?
What is the significance of the centre of gravity lying near one of the knife edges?
What is the significance of the centre of gravity lying near one of the knife edges?
What is the material of the cylinder W2?
What is the material of the cylinder W2?
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What is the length of the meter rod used in the experiment?
What is the length of the meter rod used in the experiment?
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What is the principle behind Kater's pendulum?
What is the principle behind Kater's pendulum?
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What is the purpose of placing a heavy mass at one end of a Kater's pendulum?
What is the purpose of placing a heavy mass at one end of a Kater's pendulum?
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What is the standard value of acceleration due to gravity in m/s2?
What is the standard value of acceleration due to gravity in m/s2?
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What is the typical unit of distance between the two knife edges in a Kater's pendulum?
What is the typical unit of distance between the two knife edges in a Kater's pendulum?
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What is the purpose of measuring the time periods of oscillations in a Kater's pendulum?
What is the purpose of measuring the time periods of oscillations in a Kater's pendulum?
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What is the significance of the Kater's pendulum experiment?
What is the significance of the Kater's pendulum experiment?
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What is the name of the reference book published by Oscar publications in 2009?
What is the name of the reference book published by Oscar publications in 2009?
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What is the purpose of Bessel's approximation in the determination of acceleration due to gravity?
What is the purpose of Bessel's approximation in the determination of acceleration due to gravity?
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What is the condition for equation (2) to be applicable?
What is the condition for equation (2) to be applicable?
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What is the symbol 'Ɩ1' and 'Ɩ2' representing in the given formula?
What is the symbol 'Ɩ1' and 'Ɩ2' representing in the given formula?
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What is the formula used to determine the acceleration due to gravity 'g'?
What is the formula used to determine the acceleration due to gravity 'g'?
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What is the significance of the distance between the knife edges in Kater's pendulum?
What is the significance of the distance between the knife edges in Kater's pendulum?
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What is the purpose of the Kater's pendulum?
What is the purpose of the Kater's pendulum?
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What is the main purpose of ensuring the amplitude of vibration is small?
What is the main purpose of ensuring the amplitude of vibration is small?
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Why is a glass surface on a rigid support used in the experiment?
Why is a glass surface on a rigid support used in the experiment?
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What is the purpose of moving the mass M up or down during the experiment?
What is the purpose of moving the mass M up or down during the experiment?
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What is the formula used to calculate the value of g in the experiment?
What is the formula used to calculate the value of g in the experiment?
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Why is the experiment repeated by changing the distance between the two knife edges?
Why is the experiment repeated by changing the distance between the two knife edges?
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What is the purpose of noting the time period after the pendulum has made a few oscillations?
What is the purpose of noting the time period after the pendulum has made a few oscillations?
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Study Notes
Kater's Pendulum Experiment
- Kater's pendulum is a compound pendulum used to measure the value of acceleration due to gravity (g).
- It consists of a long metallic rod with a heavy metallic cylinder at one end and an identical wooden cylinder at the other end, with a smaller metallic cylinder at the middle.
Principle and Theory
- The principle of Kater's pendulum is based on the idea that the center of suspension and center of oscillation are interchangeable.
- The pendulum is adjusted so that the time periods of oscillation about two knife edges (K1 and K2) are exactly equal.
- The distance between the knife edges is equal to the length of an equivalent simple pendulum, whose time period is given by T=2π√𝑙/𝑔.
Formula Used
- The formula used to determine acceleration due to gravity (g) is: g= 8𝜋2 𝑇12+𝑇22 𝑇12−𝑇22 𝑙1+𝑙2 + 𝑙1−𝑙2
Bessel's Approximation
- Bessel's approximation is used when the two time periods are not exactly equal, making it easier to set up the experiment.
- The formula becomes: g= 8𝜋 𝑇12+𝑇22 𝑙1+𝑙2 when T1 and T2 are very close to each other (difference less than 1 percent).
Precautions and Procedure
- Precautions include ensuring parallel knife-edges, small amplitude of vibration, and avoiding friction by using a glass surface on a rigid support.
- The procedure involves suspending the pendulum from the knife edges, finding the time periods, and measuring the distance between the knife edges.
Calculations and Results
- The value of g is calculated using the formula, and the experiment can be repeated by changing the distance between the knife edges.
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Description
Explore the concept of measuring the acceleration due to gravity (g) using Kater's pendulum in this experiment. Learn about the equipment and procedures involved in the experiment. This quiz is based on the University Institute of Engineering's Department of Academic Unit-1 to 5 course.
