Moving Charges and Magnetism-Quiz-14

MOVING CHARGES AND MAGNETISM-14

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q1. A particle of mass 2×10^(-5) kg moves horizontally between two horizontal plates of a charged parallel plate capacitor between which there is an electric field of 200 NC^(-1) acting upward. A magnetic induction of 2.0 T is applied at right angles to the electric field in a direction normal to both B< and v<. if g is 9.8ms^(-2) and the charge on the particle is 10^(-6) C, then find the velocity of charge particle so that it continuous to move horizontally

•    2 ms^(-1)
•   20 ms^(-1)
•   0.2 ms^(-1)
•   100ms^(-1)

Solution

Q2.In a region of space, a uniform magnetic filed B exists in the x direction. An electron is fired from the origin with its initial velocity u making an angle α with the y direction in the yz plane. In the subsequent motion of the electron.

•  y-coordinate of the electron will never be negative
  
  
  
  
•   z-coordinate of the electron will never be negative
  
  
  
  
•   x-coordinate of the electron will never be negative
  
  
  
  
•   Trajectory of the electron would be helical
  
  
  
  

Solution

Q3. A charged particle of mass 10^(-3) kg and charge 10^(-5)C enters a magnetic field of induction 1 T. ifg=10 ms^(-2), for what value of velocity will it pass straight through the field without deflection?

•   10^(-3) ms^(-1)
  
  
  
  
•  10^(3) ms^(-1)
  
  
  
  
•  10^(6) ms^(-1)
  
  
  
  
•  1 ms^(-1)
  
  
  
  

Solution

Q4. A circular loop is kept in that vertical plane which contains the north-south direction. It carries a current that is toward north at the topmost point. Let A be a point on the axis of the circle to the east of it and B a point on this axis to the west of it. The magnetic field due to the loop

•   Is towards east at A and toward west at B
•   Is towards west at A and toward east at B
•   Is towards east at both A and B
•   Is towards west at both A and B

Solution

Q5.  A rectangular loop carrying a current i is situated near a long straight wire such that the wire is parallel to one of the sides of the loop and is in the plane of the loop. If steady current I is established in the wire as shown in the figure below, the loop will

•  Rotate about an axis parallel to the wire
•  Move away from the wire
•  Move toward the wire
•  Remain stationary

Solution
 

Q6. A loop carrying current I lies in the x-y plane as shown in the figure. The unit vector k ̂ is coming out of the plane of the paper. The magnetic moment of the current loop is

•  a^2 Ik ̂
•   (π/2+1) a^2 Ik ̂
• -(π/2+1) a^2 Ik ̂
•  (2π+1) a^2 Uk ̂

Solution

Q7.A current of 1/(4π) ampere is flowing in a long straight conductor. The line integral of magnetic induction around a closed path enclosing the current carrying conductor is

•   10^(-7) Wbm^(-1)
•   4π×10^(-7) Wbm^(-1)
•   16π^2×10^(-7) Wbm^(-1)
•   zero

Solution

Q8.An electron is launched with velocity v vector in a uniform magnetic field B vector. The angle θ between v and B lies between 0 and π/2. Its velocity vector v vector returns to its initial value in a time interval of

•   2πm/eBAlong positive y-axis
•   (2×2πm)/eB
•  πm/eB
•  Depends upon angle between v vector and B vector

Solution

Q9.A current i is uniformly distributed over the cross section of a long hollow cylindrical wire of inner radius R_1 and outer radius R_2. Magnetic field B varies with distance r from the axis of the cylinder as

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Solution

Q10. A current I flows along the length of an infinitely long, straight, thin walled pipe. Then

•   ̂The magnetic field at all points inside the pipe is same, but not zero
•  The magnetic field at any point inside the pipe is zero
•  The magnetic field is zero only on the axis of the pipe
• The magnetic field is different at different points inside the pipe

Solution