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The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, then
- a)moment of inertia decreases and angular velocity increases
- b)moment of inertia decreases and angular velocity decreases
- c)moment of inertia increases and angular velocity decreases
- d)moment of inertia increases and angular velocity increases
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The earth rotates about an axis passing through its north and south po...
Because angular momentum remains constant as the moment of inertia is increasing here so the angular velocity will decrease.
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The earth rotates about an axis passing through its north and south po...
**Explanation:**
When the Earth is struck by meteorites, the distribution of mass on the Earth changes. This change in mass distribution affects the moment of inertia of the Earth.
**Moment of Inertia:**
The moment of inertia of an object is a measure of its resistance to changes in its rotational motion. It depends on both the mass and the distribution of mass around the axis of rotation.
**Angular Velocity:**
Angular velocity is a measure of how quickly an object rotates about an axis. It is the rate of change of angular displacement with time.
**Effect of Meteorite Impact:**
When the Earth is struck by meteorites, the mass of the Earth remains the same, but the distribution of mass changes. This change in mass distribution affects the moment of inertia of the Earth.
**Increase in Moment of Inertia:**
When the Earth is struck by meteorites, the mass distribution on the Earth may become more spread out. This leads to an increase in the moment of inertia of the Earth. The moment of inertia increases because the mass is now distributed farther from the axis of rotation.
**Decrease in Angular Velocity:**
According to the law of conservation of angular momentum, the product of moment of inertia and angular velocity remains constant if no external torque acts on the system. So, when the moment of inertia increases, the angular velocity decreases to keep the product constant.
Hence, when the Earth is struck by meteorites, the moment of inertia increases and the angular velocity decreases. Therefore, option C is the correct answer.
When the Earth is struck by meteorites, the distribution of mass on the Earth changes. This change in mass distribution affects the moment of inertia of the Earth.
**Moment of Inertia:**
The moment of inertia of an object is a measure of its resistance to changes in its rotational motion. It depends on both the mass and the distribution of mass around the axis of rotation.
**Angular Velocity:**
Angular velocity is a measure of how quickly an object rotates about an axis. It is the rate of change of angular displacement with time.
**Effect of Meteorite Impact:**
When the Earth is struck by meteorites, the mass of the Earth remains the same, but the distribution of mass changes. This change in mass distribution affects the moment of inertia of the Earth.
**Increase in Moment of Inertia:**
When the Earth is struck by meteorites, the mass distribution on the Earth may become more spread out. This leads to an increase in the moment of inertia of the Earth. The moment of inertia increases because the mass is now distributed farther from the axis of rotation.
**Decrease in Angular Velocity:**
According to the law of conservation of angular momentum, the product of moment of inertia and angular velocity remains constant if no external torque acts on the system. So, when the moment of inertia increases, the angular velocity decreases to keep the product constant.
Hence, when the Earth is struck by meteorites, the moment of inertia increases and the angular velocity decreases. Therefore, option C is the correct answer.
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The earth rotates about an axis passing through its north and south po...
Bcoz angular momentam remains constant. as the moments of inertia is increasing here so angular velocity will decrease
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The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. Can you explain this answer?
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The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. 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 The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. 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 The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. Can you explain this answer?.
The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. 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 The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. 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 The earth rotates about an axis passing through its north and south poles with a period of one day. If it is struck by meteorites, thena)moment of inertia decreases and angular velocity increasesb)moment of inertia decreases and angular velocity decreasesc)moment of inertia increases and angular velocity decreasesd)moment of inertia increases and angular velocity increasesCorrect answer is option 'C'. Can you explain this answer?.
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