In a H atom, let K,n be the kinetic energy of the electron and principal quantum number, respectively. Now, relate K,n according to Bohr's model of H atom:

Question

In a H atom, let K,n be the kinetic energy of the electron and principal quantum number, respectively. Now, relate K,n according to Bohr's model of H atom: (A) K propto (1/n2) (B) K propto n2 (C) K propto (1/n4) (D) K does not depend on n

Tardigrade Admin · Accepted Answer

answer According to the Bohr's atomic theory, the kinetic energy of an electron is directly proportional to the square of the atomic number and inversely proportional to the square of the principal quantum number.

Q. In a $H$ atom, let $K, n$ be the kinetic energy of the electron and principal quantum number, respectively. Now, relate $K, n$ according to Bohr's model of $H$ atom:

$K \propto \frac{1}{n ^{2}}$

$K \propto n^{2}$

$K \propto \frac{1}{n ^{4}}$

$K$ does not depend on $n$

answer
According to the Bohr's atomic theory, the kinetic energy of an electron is directly proportional to the square of the atomic number and inversely proportional to the square of the principal quantum number.

Q. In a H atom, let K,n be the kinetic energy of the electron and principal quantum number, respectively. Now, relate K,n according to Bohr's model of H atom:

K∝n21​

K∝n2

K∝n41​

K does not depend on n