Dimensional formula of angular momentum is from Physics System o

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 Multiple Choice QuestionsMultiple Choice Questions

161.

Assertion:  Value of radius of gyration of a body depends on axis of rotation. 

Reason:  Radius of gyration is root mean square distance of particle of the body from the axis of rotation.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


162.

Assertion:  A judo fighter in order to throw his opponent on to the mat tries to initially bend his opponent and then rotate him around his hip. 

Reason:  As the mass of opponent is brought closer to the fighter's hip, the force required to throw the opponent is reduced.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


163.

Two homogeneous spheres A and B of masses m and 2m having radii 2a and a respectively are placed in touch. The distance of centre of mass from first sphere is

  • a

  • 2a

  • 3a

  • none of these


164.

Assertion:  A body subject to three concurrent forces may be in equilibrium. 

Reason: For equilibrium, the sum of all the concurrent forces acting at a point should be zero.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


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165.

A dipole of dipole moment 'p' is placed in non-uniform electric field along x-axis. Electric field is increasing at the rate of 1 V m-1 then the force on dipole is

  • 0

  • 2p

  • p/2

  • p


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166.

Dimensional formula of angular momentum is

  • [ M L2 T-1 ]

  • [ M2 L2 T-2 ]

  • [ M L2 T-3 ]

  • [ M L T-1 ]


A.

[ M L2 T-1 ]

Angular momentum = moment of inertia x angular velocity

                              = [M L2 ] × [T-1 ]

Angular momentum = [ M L2 T-1 ]


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167.

Relation between magnetic moment and angular velocity is

  • M ∝ ω

  • M ∝ ω2

  • M ∝ ω

  • None of these


168.

Given that force   5i^ + 7j^ - 3k^ N  acts on a particle at position   i^ + j^ - k^ m. Find torque of this force on the particle about origin.

  • 4i^ - 2j^ + 2k^

  • 2i^ - 3j^ + 4k^

  • 5i^ - 2j^ + 3k^

  • 6i^ - 4j^ + 4k^


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169.

Assertion: Moment of inertia is always constant. 

Reason:  Angular moment is conserved that is why moment of inertia is constant.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


170.

Assertion:  Centre of mass of a system does not move under the action of internal forces. 

Reason: Internal forces are non conservative forces.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


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