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Cyclotron cannot be used to accelerate

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Explanation

(d)

Cyclotron cannot be used to accelerate electrons. Due to the small mass, the speed of electrons increases rapidly. Likewise, due to quick relativistic variation in their mass, the electrons get out of step with the oscillating electric field.

And Cyclotron cannot be used to accelerate neutron because the neutron is an uncharged particle

 

Magnetic field due to a ring having n turns at a distance x on its axis is proportional to (if r = radius of ring) :

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Explanation

(c) Magnetic field on the axis of circular current

      B=μ04π·2πnir2(x2+r2)3/2  Bnr2(x2+r2)3/2

      

An electric current passes through a long straight wire. At a distance 5 cm from the wire, the magnetic field is B. The field at 20 cm from the wire would be :

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Explanation

(b) B=1×10-7×2ir BB'=205 B'=B/4

 The dimension of the magnetic field intensity B is:

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Explanation

(b)  F = Bil  B=FiL=MLT-2AL=MT-2A-1  

An electron moving in a circular orbit of radius r makes n rotation per second. The magnetic field produced at the centre has a magnitude of :

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Explanation

(a)  Corresponding current i = en

     So  B=μ04π·2π(en)r=μ0ne2r

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describes circular path of radius R1 and R2 respectively. The ratio of mass of X to that of Y is :

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Explanation

(c)  r=2mkqB=1B2mVq rm m1m2=R1R22

A beam of ions with velocity 2×105 m/s enters normally into a uniform magnetic field of 4×10-2tesla. If the specific charge of the ion is 5×107 C/kg , then the radius of the circular path described will be :

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Explanation

(a)  r=mvBq=v(q/m)B=2×1055×107×4×10-2= 0.1 m

If the direction of the initial velocity of the charged particle is perpendicular to the magnetic field, then the orbit will be
                                                                      or
The path executed by a charged particle whose motion is perpendicular to magnetic field is :

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Explanation

(c)

Since the initial velocity of the particle is perpendicular to the magnetic field, the particle will move in a circular path, because the force vector acts perpendicular to the motion of the body.

A proton and an α- particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes 25 μ sec to make 5 revolutions, then the periodic time for the α-particle would be :

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Explanation

(c) Time period of proton Tp=255=5 μ sec

    By using   T=2πmqB TαTp=mαmp×qpqα=4mpmp×qp2qp

               Tα=2Tp=10 μ sec

 

 

An α- particle travels in a circular path of radius 0.45 m in a magnetic field B=1.2 Wb/m2 with a speed of 2.6×107 m/sec . The period of revolution of the α- particle is :

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Explanation

(c)  T=2πmqB=2πrV=2×3.14×0.452.6×107=1.08×10-7 sec

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