Class 11 Exam > Class 11 Questions > Consider following statements[1] CM of a unif...
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Consider following statements
[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre
[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre
[3] CM of a solid hemisphere of radius R = 4R/3p from the centre
[4] CM of a hemisphere shell of radius R = R/2 from the centre
Which statements are correct?
- a)1, 2, 4
- b)1, 3, 4
- c)4 only
- d)1,2 only
Correct answer is option 'C'. Can you explain this answer?
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Consider following statements[1] CM of a uniform semicircular disc of ...
To determine the correct statements, let's analyze each statement one by one.
Statement [1]: CM of a uniform semicircular disc of radius R = 2R/p from the centre
This statement is incorrect. The center of mass (CM) of a uniform semicircular disc lies at a distance of R/2 from the center, not 2R/p. The CM is located along the diameter of the semicircular disc.
Statement [2]: CM of a uniform semicircular ring of radius R = 4R/3p from the centre
This statement is also incorrect. The CM of a uniform semicircular ring lies at a distance of R/2 from the center, not 4R/3p. Similar to the semicircular disc, the CM is located along the diameter of the semicircular ring.
Statement [3]: CM of a solid hemisphere of radius R = 4R/3p from the centre
This statement is incorrect as well. The CM of a solid hemisphere lies at a distance of 3R/8 from the center, not 4R/3p. The CM is located along the line connecting the center of the hemisphere and the center of the base.
Statement [4]: CM of a hemisphere shell of radius R = R/2 from the centre
This statement is correct. The CM of a hemisphere shell lies at a distance of R/2 from the center. The CM is located along the line connecting the center of the hemisphere and the center of the base.
Therefore, the correct statements are:
- CM of a hemisphere shell of radius R = R/2 from the center (Statement 4)
Hence, the correct answer is option 'C' - 4 only.
Statement [1]: CM of a uniform semicircular disc of radius R = 2R/p from the centre
This statement is incorrect. The center of mass (CM) of a uniform semicircular disc lies at a distance of R/2 from the center, not 2R/p. The CM is located along the diameter of the semicircular disc.
Statement [2]: CM of a uniform semicircular ring of radius R = 4R/3p from the centre
This statement is also incorrect. The CM of a uniform semicircular ring lies at a distance of R/2 from the center, not 4R/3p. Similar to the semicircular disc, the CM is located along the diameter of the semicircular ring.
Statement [3]: CM of a solid hemisphere of radius R = 4R/3p from the centre
This statement is incorrect as well. The CM of a solid hemisphere lies at a distance of 3R/8 from the center, not 4R/3p. The CM is located along the line connecting the center of the hemisphere and the center of the base.
Statement [4]: CM of a hemisphere shell of radius R = R/2 from the centre
This statement is correct. The CM of a hemisphere shell lies at a distance of R/2 from the center. The CM is located along the line connecting the center of the hemisphere and the center of the base.
Therefore, the correct statements are:
- CM of a hemisphere shell of radius R = R/2 from the center (Statement 4)
Hence, the correct answer is option 'C' - 4 only.
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Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer?
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Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect 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 Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect 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 Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer?.
Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect 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 Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect 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 Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider following statements[1] CM of a uniform semicircular disc of radius R = 2R/p from the centre[2] CM of a uniform semicircular ring of radius R = 4R/3p from the centre[3] CM of a solid hemisphere of radius R = 4R/3p from the centre[4] CM of a hemisphere shell of radius R = R/2 from the centreWhich statements are correct?a)1, 2, 4b)1, 3, 4c)4 onlyd)1,2 onlyCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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