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JEE Main202124 Feb 2021Evening ShiftChemistryStructure of AtomActual

According to Bohr's atomic theory: (A) Kinetic energy of electron is ∝ Z 2 n 2 . (B) The product of velocity (v) of electron and principal quantum number n , ' vn ' ∝ Z 2 . (C) Frequency of revolution of electron in an orbit is ∝ Z 3 n 3 . (D) Coulombic force of attraction on the electron is ∝ Z 3 n 4 . Choose the most appropriate answer from the options given below:

Options

  1. A(A), (C) and (D) only
  2. B(A) and (D) only
  3. C(C) only
  4. D(A) only

Correct answer

B. (A) and (D) only

Step-by-step solution

According to the Bohr's atomic theory, the kinetic energy of an electron is directly proportional to the square of the atomic number and inversely proportional to the square of the principal quantum number. (A) KE = 13 . 6 z 2 n 2 eV atom ⇒ KEα z 2 n 2 (B) speed of e - α z n ∴     v × nαz (C) Frequency of revolution of e - = v 2 πr ∴ Frequency α z 2 n 3 (D) Coulombic force of attraction on the electron is directly proportional to the square of the atomic

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