Physics MCQs for NEET — Practice Questions with Answers

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A ball of mass m moving with a speed u undergoes a head-on elastic collision with a ball of mass nm initially at rest. The fraction of initial energy transferred to the heavier ball is

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Explanation

Ki=12mu2

By conservation of momentum mu = mv1+nmv2

u=v1+nv2          (1)v2-v1=u1-u2     (2) v2-v1=u(1)+(2)2u=(n+1)v2v2=2un+1

Kinetic energy transferred Kt=12(nm)v22, Kt=2nmu2(n+1)2, KtKi=4n(n+1)2

If a body of mass m moving with velocity u collides head-on elastically  with another identical body at rest. After collision , velocity of the second body will be

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Explanation

Between elastic collision of two identical masses, velocities are interchanged.

A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to mass of 3m moving vertically upward (along the y-axis) with velocity 2v. The final velocity of the combination is

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A particle is moving in a circular orbit with constant speed. Select wrong alternate

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Explanation

Direction of linear velocity always keeps on changing. Hence , linear momentum is varying

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively IA and IB such that

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Explanation

M.O.I. of solid sphere:IA=25MR2M.O.I. of hollow sphere:IB=23MR2 

A couple produces:                                                               [NTSE 1995; CBSE PMT 1997; DCE 2004]

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Explanation

A couple consists of two equal and opposite forces which cause pure rotational motion.

 

A particle of mass 1 kg is kept at (1m, 1m, 1m). The moment of inertia of this particle about z-axis would be

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Explanation

r=12+12      =2  mI=mr2 = 1×22             = 2kg-m2

A wheel is rotating at the rate of 33 rev/min.  If it comes to stop in 20 s. Then, the angular retardation will be

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Explanation

α=ω0t (0=ω0-αt)=2π×33/6020=11π200 rad/s2

 

A solid sphere is rotating about a diameter at an angular velocity ω.  If it cools so that its radius reduces to 1n of its  original value, its angular velocity becomes [MP PMT 2006]

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Explanation

On applying law of conservation of angular momentum

I1ω1=I2ω2

For solid sphere,

I=25mr225mr12ω1=25mr22ω2r2ω=rn2ω2ω2=n2ω

 

A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time a viscous fluid of mass 'm' is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period

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Explanation

According to law of conservation of momentum,

        Iω = constant.

When viscous fluid of mass m is dropped and start spreading out then its moment of inertia increases and angular velocity decreases. But when it falls from the platform moment of inertia decreases so angular velocity increases again.

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