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Q.
In Bohr's model of the hydrogen atom, the pairs of quantities that are quantized among the following is
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Solution:
According to Bohr's theory of the $H$ atom, electrons can revolve only in those orbits in which their angular momentum is an integral multiple of $\frac{h}{2 \pi }$ , where $h$ is Plank's constant.
Angular momentum = $mvr$ = $\frac{2 h}{2 \pi }$
Hence, angular momentum is quantized.
The energy of an electron in $n^{t h}$ orbit of the hydrogen atom,
$ \, \, \, E \, =$ $\frac{R h c}{n^{2}}$ $J$
Thus, it is obvious that the hydrogen atom has some characteristics of energy state. In fact, this is true for the atom of each element, $ie,$ each atom has its energy quantized.
Hence, both energy and angular momentum are quantised.