Physics-
General
Easy

Question

Two particles A and B of masses m subscript A end subscript and m subscript B end subscript respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are v subscript A end subscript andv subscript B end subscript respectively, and the trajectories are as shown in the figure. Then

  1. m subscript A end subscript v subscript A end subscript less than m subscript B end subscript v subscript B end subscript    
  2. m subscript A end subscript v subscript A end subscript greater than m subscript B end subscript v subscript B end subscript    
  3. m subscript A end subscript less than m subscript B end subscript text and end text v subscript A end subscript less than v subscript B end subscript    
  4. m subscript A end subscript equals m subscript B end subscript text and  end text v subscript A end subscript equals v subscript B end subscript    

The correct answer is: m subscript A end subscript v subscript A end subscript greater than m subscript B end subscript v subscript B end subscript


    r equals fraction numerator m v over denominator q B end fraction rightwards double arrow r proportional to m v (q and B are constant)
    because   r subscript A end subscript greater than r subscript B end subscript rightwards double arrow m subscript A end subscript v subscript A end subscript greater than m subscript B end subscript v subscript B end subscript

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