In the main postulates of Bohr atomic theory the angular momentum of an electron in the hydrogen atom is given by the relationship.

Correct answer: B. mvr = nh/2π

  • A. mvr = nh
  • B. mvr = nh/2π
  • C. mvr = n/2π
  • D. mvr = nh/π

Explanation

The correct relationship for the angular momentum of an electron in a hydrogen atom according to Bohr's atomic theory is mvr = nh/2π, where:m is the mass of the electron,v is the velocity of the electron,r is the radius of the nth orbit,n is the principal quantum number, andh is Planck's constant.Option A is incorrect because it omits the division by 2π. Option C is correct as it matches Bohr's quantization condition. Option D is incorrect because it omits Planck's constant. Option D is incorrect as it uses π instead of 2π, altering the formula.

This question appeared on the ETEA MDCAT 2015 paper, which you can sit online with every answer explained.

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