Physics MCQs for NEET — Practice Questions with Answers

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To a person, going eastward in a car with a velocity of 25 km/hr, a train appears to move towards north with a velocity of 253 km/hr. The actual velocity of the train will be

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Explanation

vT=vTC2+vC2 = (253)2+(25)2

= 1875+625 = 2500 = 50 km/hr

A bus is moving with a velocity 10 m/s on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what velocity should the scooterist chase the bus

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Explanation

Let the velocity of the scooterist =v

Relative velocity of scooterist with respect to bus = (v – 10)

S=(v10)×1001000=(v10)×100

v=10+10=20m/s  

The x and y coordinates of the particle at any time are x=5t-2t2 and y=10t respectively, where x and y are in the metres and t is in seconds. The acceleration of the particle at t=2s is :

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Explanation

(c) Given, x=5t-2t2

The velocity of the particle in the x-direction,

   vx=dxdt=ddt5t-2t2=5-4t

Acceleration, ax=dvxdt=-4 ms-2

The velocity of the particle in the y-direction,

vy=dydt=10 Acceleration ay=dvydt=0 Net acceleration of the particle ,           anet=axi^+ayj^=-4ms2i^                    

or   anet=-4 ms-2

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t1. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t2. The time taken by her to walk up on the moving escalator will be 

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Explanation

(c)

Speed of Preeti, v1=ht1Speed of escalator, v2=ht2Speed of Preeti with escalator=v1+v2(Velocity of both will combine to give high velocity)Time=hv1+v2=hht1+ht2=t1t2t1+t2

A particle moves so that its position vector is given by r=cosωt x^+sinωt y ^where ω is a constant.  Which of the following is true?

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A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards north. The average acceleration of the body is

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Explanation

Average acceleration =Change in velocityTotal time

                  a=|vf-vi|t=|40j-30i|t   =402+30210=1600+90010   = 5 ms-2

A particle moves in the x-y plane according to rule x=a sin ωt and y=a cos ωt. The particle follows

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Explanation

 

x=a sin ωtxa= sin ωtx=a cos ωtya= cos ωt          x2+y2=a2  

This is an equation of a circle, so the particle follows a circular path.

The coordinates of a moving particle at a time t, are given by, x=5 sin 10t, y=5 cos 10t. The speed of the particle is:

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Explanation

(B)

x= 5 sin 10t                     y= 5 cos 10tvx=dxdt                           vy=dydt   = 5×10 cos l0t               =-50 sin l0t   = 50 cos l0tVelocity v= vxi^+vyj^                  = 50 cos l0t i^-50 sin l0t j^Speed = Magnitude of velocity             = vx2+vy2             =50 cos l0t2+-50 sin l0t2             = 50cos210t + sin210t units                = 50 units

For a rocket moving in free space, the fraction of mass to be disposed of Off to attain a speed equal to two times the exhaust speed is given by (given e2 = 7.4)

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Explanation

v=vrln(m0m)or        2vr=vrln(m0m)        2=ln(m0m)         m0m=e2=7.4or         mm0=0.14

This is a fraction of mass remaining. Hence fraction of mass disposed of = 0.86.

A simple pendulum hangs from the roof of a train moving on horizontal rails. If the string is inclined towards the front of the train, then train is

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Explanation

Using concept of inertia

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