System of particles practice · Mixed difficulty

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 481-483 of 483 questions

481 Medium

481 of 483

Application +4 | -1

A thin hollow cylinder open at both ends.

(i) Sliding without rolling

(ii) Rolls without slipping, with the same speed.

The ratio of kinetic energy in the two cases is

View answer and explanation

Correct option: C

1:2

Option C (

1:2

) is correct because the ratio of kinetic energy when sliding to when rolling is 1:2, considering the hollow cylinder's moment of inertia.

482 Medium

482 of 483

Application +4 | -1

A wheel of moment of inertia

5 \times {10^{ - 3}}kg - {m^2}

is making 20 revolutions/sec. The torque required to stop it in 10 sec is

View answer and explanation

Correct option: A

2\pi \times {10^{ - 2}}N - m

Option A (

2\pi \times {10^{ - 2}}N - m

) is correct because it is the torque calculated using the moment of inertia and angular acceleration.

483 Medium

483 of 483

Analyzing +4 | -1

(A): When there is no external torque, moment of inertia of a rotating body changes, its angular momentum remain conserved, but its kinetic energy changes.
(R): Angular momentum does not depend upon moment of inertia of the body.

View answer and explanation

Correct option: C

(A) is true but (R) is false

Option C ((A) is true but (R) is false) is correct because the assertion is true (angular momentum is conserved, but kinetic energy changes), while the reason is false (angular momentum depends on moment of inertia).

Revision notes and key takeaways

Review SYSTEM OF PARTICLES in your textbook or class notes, then use this set to check your understanding.

Showing 481-483 of 483 questions

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