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A uniform magnetic field B exists in the region between x = 0 and x =  (region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ?
  • a)
    For B = 
    the particle will enter region 3 through the point P2 on x-axis
  • b)
    For B >
    the particle will re-enter region 1
  • c)
    For a fixed B, particle of same charge Q and same velocity v, the distance between the point P1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle.
  • d)
    When the particle re-enters region 1 through the longest possible path in region 2, the magnitude of the chage in its linear momentum between point P1 and the farthest point from y-axis is 
Correct answer is option 'A,B'. Can you explain this answer?
Verified Answer
A uniform magnetic field B exists in the region between x = 0 and x =(...
(A, B) For the charge +Q to return region 1, the radius of the circular path taken by charge should by 3R/2.
mv² ÷ (3R/2) = QvB
Therefore,
2p / 3R = Q
So, 
B = 2p / 3QR
i.e., B should be equal or greater than 2p/2QR
'A' is the correct option.
When B = 8p / 13QR
mv² / r = Qv (8p / 13QR)
Therefore, v = 13R / 8

Also CP2² = CO² + OP2²
                 = [(5R/8)² + (3R/2)²]²
CP2 = 13R / 8

Thus the particle will enter region 3 through the point P1 on X-axis 'B' is the correct option. 
Change in momentum =√2p
Thus, 'C' is incorrect. 
Further, mv² / r = qvB
Therefore, r = mv / qB 
'D' is incorrect.
 
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Most Upvoted Answer
A uniform magnetic field B exists in the region between x = 0 and x =(...
(A, B) For the charge +Q to return region 1, the radius of the circular path taken by charge should by 3R/2.
mv² ÷ (3R/2) = QvB
Therefore,
2p / 3R = Q
So, 
B = 2p / 3QR
i.e., B should be equal or greater than 2p/2QR
'A' is the correct option.
When B = 8p / 13QR
mv² / r = Qv (8p / 13QR)
Therefore, v = 13R / 8

Also CP2² = CO² + OP2²
                 = [(5R/8)² + (3R/2)²]²
CP2 = 13R / 8

Thus the particle will enter region 3 through the point P1 on X-axis 'B' is the correct option. 
Change in momentum =√2p
Thus, 'C' is incorrect. 
Further, mv² / r = qvB
Therefore, r = mv / qB 
'D' is incorrect.
 
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Community Answer
A uniform magnetic field B exists in the region between x = 0 and x =(...
Option A and B are correct.
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A uniform magnetic field B exists in the region between x = 0 and x =(region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ?a)ForB =the particle will enter region 3 through the point P2 on x-axisb)ForB >the particle will re-enter region 1c)For a fixed B, particle of same charge Q and same velocity v, the distance between the point P1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle.d)When the particle re-enters region 1 through the longest possible path in region 2, the magnitude of the chage in its linear momentum between point P1 and the farthest point from y-axis isCorrect answer is option 'A,B'. Can you explain this answer?
Question Description
A uniform magnetic field B exists in the region between x = 0 and x =(region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ?a)ForB =the particle will enter region 3 through the point P2 on x-axisb)ForB >the particle will re-enter region 1c)For a fixed B, particle of same charge Q and same velocity v, the distance between the point P1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle.d)When the particle re-enters region 1 through the longest possible path in region 2, the magnitude of the chage in its linear momentum between point P1 and the farthest point from y-axis isCorrect answer is option 'A,B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A uniform magnetic field B exists in the region between x = 0 and x =(region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ?a)ForB =the particle will enter region 3 through the point P2 on x-axisb)ForB >the particle will re-enter region 1c)For a fixed B, particle of same charge Q and same velocity v, the distance between the point P1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle.d)When the particle re-enters region 1 through the longest possible path in region 2, the magnitude of the chage in its linear momentum between point P1 and the farthest point from y-axis isCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform magnetic field B exists in the region between x = 0 and x =(region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ?a)ForB =the particle will enter region 3 through the point P2 on x-axisb)ForB >the particle will re-enter region 1c)For a fixed B, particle of same charge Q and same velocity v, the distance between the point P1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle.d)When the particle re-enters region 1 through the longest possible path in region 2, the magnitude of the chage in its linear momentum between point P1 and the farthest point from y-axis isCorrect answer is option 'A,B'. Can you explain this answer?.
Solutions for A uniform magnetic field B exists in the region between x = 0 and x =(region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ?a)ForB =the particle will enter region 3 through the point P2 on x-axisb)ForB >the particle will re-enter region 1c)For a fixed B, particle of same charge Q and same velocity v, the distance between the point P1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle.d)When the particle re-enters region 1 through the longest possible path in region 2, the magnitude of the chage in its linear momentum between point P1 and the farthest point from y-axis isCorrect answer is option 'A,B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
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