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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 proportional to the principal quantum number
$(III)$ Frequency with which electrons orbits around the nucleus in discrete orbits is inversely proportional to the principal quantum number
$(IV)$ Binding force with which the electron is bound to the nucleus increases as it shifts to outer orbitsSelect correct answer using the codes given belowCodes :
$I$ and $III$
$II$ and $IV$
$I, II$ and $III$
$II, III$ and $IV$
Solution
(a) Orbital speed varies inversely as the radius of the orbit. Energy increases with the increase in quantum number.
