NEET Practice Questions (MCQs) with Answers & Solutions

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In an orbital motion, the angular momentum vector is 

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Explanation

In an orbital motion, the angular momentum vector is perpendicular to the orbital plane. This is a fundamental result from the definition of angular momentum as the cross product of position and linear momentum vectors, which are mutually perpendicular for circular orbits.

A sphere is rolling down a plane of inclination θ to the horizontal.  The acceleration of its centre down the plane is 

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Explanation

a=g sin θ1+1mR2 or a<g sin θ

 

A body at rest breaks into two pieces of equal masses.  The parts will move

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Explanation

pi=0pr=0,

i.e, both the pieces should have equal and opposite momentum.

 

A bob of mass m attached to an inextensible string of length l is suspended from verticle support.  The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical.  About the point of suspension.

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Explanation

For a particle moving in a horizontal circle with a fixed radius, the direction of the angular momentum vector changes continuously, but its magnitude remains constant. This is because the angular momentum is proportional to the product of mass, radius, and speed, all of which are constant.

In free space, a rifle of mass M shoots a bullet of mass m at a stationary block of mass M at a distance D away from it. When the bullet has moved through a distance d towards the block, the centre of mass of the bullet - block system is at a distance of

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Explanation

Distance between bullet and block at this instant is (D-d).

Distance from bullet = MM+m(D-d)

And the distance from block = mM+m(D-d)

A wheel is at rest. Its angular velocity increases uniformly and becomes 80 rad/s after 5 s. The total angular displacement is 

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Moment of inertia of an object does not depend upon

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Explanation

I = mr2

 Moment of inertia depends upon mass distribution around axis and axis of rotation. It is independent of angular velocity ω. Choice C is correct.

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its center and perpendicular to its plane with an angular velocity ω. Another disc of the same dimensions but of mass 14M is placed gently on the first disc co-axially. The angular velocity of the system is

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Explanation

2.

I1ω1=I2ω2orω2=I1I2ω1=(1/2MR2)(1/2MR2)+12(1/4MR2)=45ω

When a ball of mass = 5kg hits a bat with a velocity = 3 m/s, in positive direction and it moves back with a velocity = 4 m/s, find the impulse in SI units

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When a torque acting upon a system is zero, then which of the following will be constant 

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Explanation

c τ=dLdt,if τ=0 then L = constant 

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