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Concepts Of Physics MCQ Edition [Volume 2]PhysicsMagnetic Field

A beam comprising protons and electrons, travelling at the same speed, traverses a thin region containing a magnetic field perpendicular to the beam. The protons and the electrons

Options

  1. Awill travel without deviation
  2. Bwill deviate by unequal angles and thereby separate
  3. Cwill deviate by an equal angle but will separate
  4. Dwill deviate by an equal angle and remain together

Correct answer

B. will deviate by unequal angles and thereby separate

Step-by-step solution

The radius of the circular path of a charged particle in a perpendicular magnetic field is given by R = mv qB . For a thin region of magnetic field of width d , the angle of deviation is given by = d R = qBd mv . Since protons and electrons have different masses ( m_p m_e ) but the same magnitude of charge and same speed, their radii of curvature will be different ( R_p > R_e ). Therefore, their angles of deviation will be unequal ( _p Additionally, due to their opposite charges, they will experience magnetic force

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