Physics
Grade-9
Easy
Question
For an oscillating simple pendulum, the tension in the string is:
- Maximum at the extreme position
- Maximum at mean position
- Constant throughout the motion
- Cannot be predicted
Hint:
For an oscillating simple pendulum, the tension in the string is maximum at the mean position and minimum at the extreme position.
The correct answer is: Maximum at mean position
For an oscillating simple pendulum, the tension in the string is maximum at the mean position and minimum at the extreme position.
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With reference to the given figure:
![](data:image/png;base64,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)
Which one of these options does not represent one completed oscillation?
With reference to the given figure:
![](data:image/png;base64,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)
Which one of these options does not represent one completed oscillation?
PhysicsGrade-9
Physics
In the given figure, the amplitude of oscillations is:
![](data:image/png;base64,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)
In the given figure, the amplitude of oscillations is:
![](data:image/png;base64,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)
PhysicsGrade-9
Physics
A pendulum takes 0.5 s to make one oscillation about its mean position. How long will it take to make 5 oscillations?
A pendulum takes 0.5 s to make one oscillation about its mean position. How long will it take to make 5 oscillations?
PhysicsGrade-9
Physics
If a pendulum takes 2 s to complete one oscillation, then how much time will it take to complete 15 oscillations?
If a pendulum takes 2 s to complete one oscillation, then how much time will it take to complete 15 oscillations?
PhysicsGrade-9
Physics
The length of the string of a pendulum is 100 cm, and the pendulum takes 42 s to complete 20 oscillations. What will be its time period?
The length of the string of a pendulum is 100 cm, and the pendulum takes 42 s to complete 20 oscillations. What will be its time period?
PhysicsGrade-9
Physics
A pendulum completes 20 oscillations in 38 secs. What is its time period?
A pendulum completes 20 oscillations in 38 secs. What is its time period?
PhysicsGrade-9
Physics
Which one of these is not a part of a spring and a mass system?
Which one of these is not a part of a spring and a mass system?
PhysicsGrade-9
Physics
________ is the number of oscillations per second.
________ is the number of oscillations per second.
PhysicsGrade-9
Physics
A simple pendulum performs 18 oscillations per second; the mechanical wave produced by it are:
A simple pendulum performs 18 oscillations per second; the mechanical wave produced by it are:
PhysicsGrade-9
Physics
In the given figure, the amplitude of oscillations is:
![](data:image/png;base64,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)
In the given figure, the amplitude of oscillations is:
![](data:image/png;base64,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)
PhysicsGrade-9
Physics
In the given figure, the amplitude of oscillations is:
![](data:image/png;base64,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)
In the given figure, the amplitude of oscillations is:
![](data:image/png;base64,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)
PhysicsGrade-9