Q. In Bohr’s model of hydrogen atom, which of the following pairs of quantities are quantized?

A) Energy and linear momentum
B) Linear and angular momentum
C) Energy and angular momentum
D) None of the above
Explanation

(c) According to Bohr’s theory of 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 Planck’s constant.
Angular momentum = $mvr$=$\frac{2h}{2\pi}$
Hence, angular momentum is quantized.
The energy of electron in $n$th orbit of hydrogen atom,
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ E\ =$ $\frac{Rhc}{n^{2}}$ joule
Thus, it is obvious that the hydrogen atom has some characteristics 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.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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