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Which of the following statements are correct when a gymnast sitting on a rotating stool with his arms outstretched, suddenly lowers his hands?
1. The angular velocity decreases.
2. The angular velocity increases.
3. The moment of inertia decreases.
4. The moment of inertia increases.
Select the answers using the codes given below.
 
  • a)
    2 and 3
  • b)
    1 and 3
  • c)
    1 and 4
  • d)
    2 and 4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements are correct when a gymnast sitting o...
The correct answer is option A) 2 and 3.

Explanation:
When a gymnast sitting on a rotating stool with his arms outstretched suddenly lowers his hands, several changes occur in the system. Let's analyze each statement and its correctness:

1. The angular velocity decreases: This statement is incorrect. According to the law of conservation of angular momentum, the total angular momentum remains constant if no external torque is applied. When the gymnast lowers his hands, his moment of inertia decreases, but angular velocity increases to conserve angular momentum.

2. The angular velocity increases: This statement is correct. As mentioned above, when the gymnast lowers his hands, his moment of inertia decreases. According to the equation L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity, if I decreases, ω must increase to keep the angular momentum constant.

3. The moment of inertia decreases: This statement is correct. The moment of inertia depends on the distribution of mass and how it is arranged with respect to the axis of rotation. When the gymnast lowers his hands, he brings his mass closer to the axis of rotation, reducing the moment of inertia.

4. The moment of inertia increases: This statement is incorrect. Lowering the hands brings the mass closer to the axis of rotation, reducing the moment of inertia.

Therefore, the correct statements are 2 and 3: The angular velocity increases, and the moment of inertia decreases.
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Which of the following statements are correct when a gymnast sitting on a rotating stool with his arms outstretched, suddenly lowers his hands?1. The angular velocity decreases.2. The angular velocity increases.3. The moment of inertia decreases.4. The moment of inertia increases.Select the answers using the codes given below.a)2 and 3b)1 and 3c)1 and 4d)2 and 4Correct answer is option 'A'. Can you explain this answer?
Question Description
Which of the following statements are correct when a gymnast sitting on a rotating stool with his arms outstretched, suddenly lowers his hands?1. The angular velocity decreases.2. The angular velocity increases.3. The moment of inertia decreases.4. The moment of inertia increases.Select the answers using the codes given below.a)2 and 3b)1 and 3c)1 and 4d)2 and 4Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which of the following statements are correct when a gymnast sitting on a rotating stool with his arms outstretched, suddenly lowers his hands?1. The angular velocity decreases.2. The angular velocity increases.3. The moment of inertia decreases.4. The moment of inertia increases.Select the answers using the codes given below.a)2 and 3b)1 and 3c)1 and 4d)2 and 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are correct when a gymnast sitting on a rotating stool with his arms outstretched, suddenly lowers his hands?1. The angular velocity decreases.2. The angular velocity increases.3. The moment of inertia decreases.4. The moment of inertia increases.Select the answers using the codes given below.a)2 and 3b)1 and 3c)1 and 4d)2 and 4Correct answer is option 'A'. Can you explain this answer?.
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