Which of the following statements are true regarding Bohr’s model of hydrogen atom?
I. Orbiting speed of electron decreases as it shifts to discrete orbits away from the nucleus
II. Radii of allowed orbits of electron are dependent on the principal quantum number
III. Frequency with which electron orbits around the nucleus in discrete orbits is dependent on principal quantum number.
IV. Binding force with which the electrons are bound to the nucleus increases as it shifts to outer orbits.

Moderate

Solution

1. According to Bohr’s postulates
(i) orbiting speed $v \propto \frac{1}{n}$
2. (ii) frequency $ν \propto \frac{1}{n^{3}}$
3. (iii) Radius of Bohr orbit directly proportional to square of n
Where n is principle quantum number
4. ( iv) Binding force is the coulomb force which is inversely proportional to square of distance
$∴ F \propto \frac{1}{r^{2}}$
Therefore, the correct answer is ( C )

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