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Magnetism question

2017 · Shift 2 · Q40
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Magnetism question

2017 · Shift 2 · Q40

JEE AdvancedPhysicsMagnetismMultiple correct+4 / −1
A uniform magnetic field BBB exist in the region between x=0x=0x=0 and x=3R2x = {{3R} \over 2}x=23R​(region 222 in the figure) pointing normally into the plane of the paper. A particle with charge +Q+Q+Q and momentum ppp directed along xxx-axis enters region 222 from region 111 at point P1(y)=−R).{P_1}\left( y \right) = -R).P1​(y)=−R). Which of the following option(s) is/are correct? JEE Advanced 2017 Paper 2 Offline Physics - Magnetism Question 40 English
  1. A
    For B>23pQRB \gt {2 \over 3}{p \over {QR}}B>32​QRp​ the particle well re-enter region 111
  2. B
    For B=813pQR,B = {8 \over {13}}{p \over {QR}},B=138​QRp​, the particle will enter region 333 through the point P2{P_2}P2​ on xxx-axis
  3. C
    When the particle re-enters region 111 through the longest possible path in region 2,2,2, the magnitude of the change in its linear momentum between point P1{P_1}P1​ and the farthest point from yyy-axis is p/2p/\sqrt 2p/2​
  4. D
    For a fixed B,B,B, particles of same charge QQQ and same velocity v,v,v, the distance between the point P1{P_1}P1​ and the point of re-entry into region 111 is inversely proportional to the mass of the particle
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