Physics-
General
Easy

Question

A particle revolves in clockwise direction (as seen from point A) in a circle C of radius 1 cm and completes one revolution in 2 sec. The axis of the circle and the principal axis of the mirror M coincide. Call it AB. The radius of curvature of the mirror is 21 cm. Then the direction of revolution (as seen from A) of the image of the particle and its speed is

  1. Clockwise, 1.57 cm/s    
  2. Clockwise, 3.14 cm/s    
  3. Anticlockwise, 1.57 cm/s    
  4. Anticlockwise, 3.14 cm/s    

The correct answer is: Clockwise, 1.57 cm/s


    table row cell text end text text B end text text y end text text end text text m end text text i end text text r end text text r end text text o end text text r end text text end text text f end text text o end text text r end text text m end text text u end text text l end text text a end text text end text text : end text text end text fraction numerator 1 over denominator v end fraction plus fraction numerator 1 over denominator negative 10 end fraction equals fraction numerator 1 over denominator 10 end fraction end cell row cell rightwards double arrow v equals plus 5 c m therefore m equals plus fraction numerator 1 over denominator 2 end fraction end cell end table
    the image revolves in circle of radius 1/2 cm. Image of a radius is erect Þ Image will revolve in the same direction as the particle. The image will complete one revolution in the same time 2s.
    table row cell text end text text v end text text e end text text l end text text o end text text c end text text i end text text t end text text y end text text end text text o end text text f end text text end text text i end text text m end text text a end text text g end text text e end text text end text v equals omega r equals fraction numerator 2 pi over denominator 2 end fraction cross times fraction numerator 1 over denominator 2 end fraction equals fraction numerator pi over denominator 2 end fraction c m divided by s end cell row cell equals 1.57 c m divided by s end cell end table

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