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Statement - 1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant


because


Statement - 2: The linear momentum of an isolated system remains constant.


[JEE 2007]

  • a)
    Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

  • b)
    Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

  • c)
    Statement-1 is True, Statement-2 is False

  • d)
    Statement-1 is False, Statement-2 is True

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Statement - 1: If there is no external torque on a body about its cent...
The velocity of centre of mass remains constant if no external force acts on the body. 


External torque (τ = r × F) can be zero if F is finite but vectors r × F are parallel to each other. Hence statement 1 is false. Also Linear momentum is always conserved.
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Statement - 1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constantbecauseStatement - 2:The linear momentum of an isolated system remains constant.[JEE 2007]a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?
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Statement - 1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constantbecauseStatement - 2:The linear momentum of an isolated system remains constant.[JEE 2007]a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. 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 Statement - 1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constantbecauseStatement - 2:The linear momentum of an isolated system remains constant.[JEE 2007]a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. 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 Statement - 1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constantbecauseStatement - 2:The linear momentum of an isolated system remains constant.[JEE 2007]a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?.
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