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Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.


Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.


[JEE-2008]

  • 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?
Most Upvoted Answer
Statement - 1: Two cylinders, one hollow (metal) and the other solid (...
acceleration = a ∙ [(gsinθ) / {1 + (ICM / mR2)}]
For hollow cylinder ICM = mR2 = Ih
Solid cylinder ICM = [(mR2) / ∝] = Is 
i.e Ih > Is 
hence ah < as 
hence solid cylinder will reach bottom first.
Also
by
principle of conservation of energy.
KE at bottom = PE = mgh
hence KE is same for each cylinder at bottom (m, h same)
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Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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?
Question Description
Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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?.
Solutions for Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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? defined & explained in the simplest way possible. Besides giving the explanation of Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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?, a detailed solution for Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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? has been provided alongside types of Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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? theory, EduRev gives you an ample number of questions to practice Statement - 1: Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.Statement - 2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.[JEE-2008]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 forStatement-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? tests, examples and also practice Class 11 tests.
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