Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMotion analysis in electric & magnetic fieldHard2 minPYQ_2020
PhysicsHardnumerical

In the xy - plane , the region y>0 has a uniform magnetic fieldB1k^and the region y<0 has another uniform magnetic fieldB2k^. A positively charged particle is projected from the origin along the positive yaxis with speed v 0 =π m  s 1 at t=0, as shown in the figure. Neglect gravity in this problem. Let t=T be the time when the particle crosses the xaxis from below for the first time. If B 2 =4 B 1, the average speed of the particle, in m  s 1, along the xaxis in the time interval T is ________.


Answer:
2.00
Solution:

(i)Average speed along xaxis



vx=vxdtdt=d1+d2t1+t2

(ii)We have,

r1=mvqB1,r2=mvqB2

Since,B1=B24

  r1=4r2

Time inB1πmqB1=t1

Time inB2πmqB2=t2

Total distance along x - axisd1+d2=2r1+2r2=2r1+r2=25r2

Total timeT=t1+t2=5t2

  Average speed=10r25t2=2mvqB2×qB2πm=2

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Motion analysis in electric & magnetic field
2mℹ️ Source: PYQ_2020

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