Physics-
General
Easy

Question

A mass spectrometer is a device which select particle of equal mass. An iron with electric charge q greater than 0 blankstarts at rest from a source S and is accelerated through a potential difference V. It passes through a hole into a region of constant magnetic field stack B with rightwards arrow on top perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance d from the top hole. The mass of the particle is

  1. fraction numerator q B d over denominator V end fraction    
  2. fraction numerator q B to the power of 2 end exponent d to the power of 2 end exponent over denominator 4 V end fraction    
  3. fraction numerator q B to the power of 2 end exponent d to the power of 2 end exponent over denominator 8 V end fraction    
  4. fraction numerator q B d over denominator 2 V end fraction    

The correct answer is: fraction numerator q B to the power of 2 end exponent d to the power of 2 end exponent over denominator 8 V end fraction


    R equals fraction numerator m v over denominator q B end fraction equals fraction numerator square root of 2 m q V end root over denominator q B end fraction equals fraction numerator d over denominator 2 end fraction rightwards double arrow m equals fraction numerator q B to the power of 2 end exponent d to the power of 2 end exponent over denominator 8 V end fraction

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