Asked in ETEA MDCAT 2015 2015Moderate

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.

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