QNEET-2023-Ph-363: NEET 2023 Physics - Class 12 NEET-2023-Ph-363 Solution: The angular momentum of an electron moving in an orbit of…

The given angular momentum of the electron is 1.5 ( h � ) , where h $h$ h is Planck's constant. According to the Bohr model of the hydrogen atom, the allowed angular momenta for an electron are quantized and given by m v r = n h 2 � where m $m$ m is the mass of the electron, v $v$ v is its velocity, r $r$ r is the radius of the orbit, and n $n$ n is the principal quantum number (an integer). By comparing the given angular momentum with the quantized form, we get 1.5 h � = n h 2 � , which simplifies to n = 3 . Now, we use the formula for the energy levels of the hydrogen atom: E n = _ 13.6 eV n 2 . Since n = 3 $n = 3$ n = 3 , the energy can be calculated as E 3 = _ 13.6 eV 3 2 , which is approximately _ 1.5 eV .