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A rubber ball with water, having a small hole in its bottom is used as the bob of a simple pendulum. The time-period of such a pendulum:
  • a)
    Increases with time
  • b)
    First increases and then decreases finally having same value as at the beginning
  • c)
    Decreases with time
  • d)
    Is a constant
Correct answer is option 'B'. Can you explain this answer?
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A rubber ball with water, having a small hole in its bottom is used as...
When rubber ball completely filled with water its centre of gravity will be at its centre, as water will fall through hole its COG will shift towards lower side leading to increase in length of pendulum and thus T, when very small amount of water will be left in rubber ball its COG will again shifts upward causing decrease in length and thus T, and finally when rubber ball becomes empty its COG will be at its centre and T will remains same as earlier.
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A rubber ball with water, having a small hole in its bottom is used as...
When rubber ball completely filled with water its centre of gravity will be at its centre,as water will fall through hole its cog will shift towards lower side leading to increase in length of pendulum and thus T ,when very small amount of water will be left in rubber ball its c.o.g will again shifts upward causing decrease in length and thus T ,and finally when rubber ball becomes empty its c.o.g will be at its centre and T will remains same as earlier
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A rubber ball with water, having a small hole in its bottom is used as...
Explanation:

When a rubber ball filled with water is used as the bob of a simple pendulum, the time-period of the pendulum initially increases and then decreases, finally reaching the same value as at the beginning. This can be explained by considering the following points:

1. Initial Increase in Time-period:
- When the rubber ball is filled with water, it increases the effective length of the pendulum.
- The effective length is the distance between the point of suspension and the center of mass of the bob.
- As the water fills the ball, the center of mass shifts downwards, increasing the effective length.
- The time-period of a simple pendulum is directly proportional to the square root of the effective length.
- Therefore, when the effective length increases, the time-period also increases.

2. Maximum Time-period:
- As the water continues to fill the ball, the effective length of the pendulum reaches a maximum value.
- At this point, the time-period is maximum, and the pendulum takes the longest time to complete one oscillation.

3. Decrease in Time-period:
- When the ball has a small hole at the bottom, water starts leaking out slowly.
- As water leaks out, the center of mass of the bob gradually shifts upwards.
- This reduces the effective length of the pendulum.
- As the effective length decreases, the time-period also decreases.

4. Same Time-period as at the Beginning:
- Eventually, the rubber ball loses all the water, and the center of mass returns to its initial position.
- This means that the effective length of the pendulum is the same as it was at the beginning.
- Consequently, the time-period of the pendulum also becomes the same as it was initially.

Therefore, the time-period of a simple pendulum with a rubber ball filled with water initially increases due to an increase in the effective length. It then decreases as water leaks out and the effective length decreases. Finally, the time-period reaches the same value as at the beginning when all the water is lost, and the center of mass returns to its initial position.
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Attempt All sub parts from each question.Galileo’s Isochronous Pendulum: Galileo observed a lamp swinging from ceiling at Pisa cathedral ceiling. He was the first scientist to observe how long it took any object suspended from a rope or chain (a pendulum) to swing back and forth. There were no wrist watches at that time, so Galileo used his own pulse as a time measurement. Galileo observed that no matter how big the swings were, as in when the lamp was first swung, to how small the swings were as the lamp returned to a standstill, the time it took for each swing to complete was exactly the same. So, he concluded that the oscillations are isochronous. Anyhow, it was proved by advanced experimentation that the isochronism of simple pendulum is correct within 1% under the 30° of amplitude. It is confirmed that the period changes less than 1% until the amplitude is 30°. On the other hand, the period increased by more than 10% when the amplitude became larger than 80°. At the end of his life he devised a scheme for using a pendulum to regulate a mechanical clock. However, the first reliable pendulum clock was only demonstrated by Huygens 15 years after Galileo's death.Q. Galileo observed that the time period of the pendulum

Attempt All sub parts from each question.Newtonian and non-Newtonian fluid: Viscosity is the physical property that characterizes the flow resistance of simple fluids. Newton’s law of viscosity defines the relationship between the shear stress and shear rate of a fluid subjected to a mechanical stress. The ratio of shear stress to shear rate is a constant, for a given temperature and pressure, and is defined as the viscosity or coefficient of viscosity. Newtonian fluids obey Newton’s law of viscosity. The viscosity is independent of the shear rate. Example: air, water, alcohol etc. Non-Newtonian fluids do not follow Newton’s law thus, their viscosity (ratio of shear stress to shear rat e) is not constant and is dependent on the shear rate. Example: honey, ketchup etc. Non-Newtonian fluids can be categorized into four types based on the way a fluid’s viscosity changes in response to variations in shear rate.• Pseudoplastic: Materials whose viscosity decreases as the shear rate increases. This type of flow behavior is sometimes called shear thinning. Example: Cake batter, agar-agar and fruit juice concentrates, nail polish etc.• Dilatant: M aterials whose viscosity increases as the shear rate increases. This type of behavior is sometimes called shear-thickening. Example: Suspension of corn starch in water and candy compounds etc..• Thixotropic: M aterials whose viscosity decreases when sheared at a constant rate over time. Example: Yogurt, gelatin gel, honey etc.• Rheopectic: M aterials whose viscosity increases when sheared at a constant rate over time. Example: Printer ink, gypsum paste etc.Q. Viscosity of pseudoplastic non-Newtonian fluid

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A rubber ball with water, having a small hole in its bottom is used as the bob of a simple pendulum. The time-period of such a pendulum:a)Increases with timeb)First increases and then decreases finally having same value as at the beginningc)Decreases with timed)Is a constantCorrect answer is option 'B'. Can you explain this answer?
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A rubber ball with water, having a small hole in its bottom is used as the bob of a simple pendulum. The time-period of such a pendulum:a)Increases with timeb)First increases and then decreases finally having same value as at the beginningc)Decreases with timed)Is a constantCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A rubber ball with water, having a small hole in its bottom is used as the bob of a simple pendulum. The time-period of such a pendulum:a)Increases with timeb)First increases and then decreases finally having same value as at the beginningc)Decreases with timed)Is a constantCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rubber ball with water, having a small hole in its bottom is used as the bob of a simple pendulum. The time-period of such a pendulum:a)Increases with timeb)First increases and then decreases finally having same value as at the beginningc)Decreases with timed)Is a constantCorrect answer is option 'B'. Can you explain this answer?.
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