Suppose an electron is attracted towards the origin by a force k / r where ' k ' is a constant and ' r ' is the distance of the electron from the origin. By applying Bohr model to

Question

Suppose an electron is attracted towards the origin by a force $k / r$ where ' $k$ ' is a constant and ' $r$ ' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the $n^{th}$ orbital of the electron is found to be ' $r_{n}$ ' and the kinetic energy of the electron to be $T_{n}$ . Then which of the following is true?

Options:

Answer:

B

Solution:

$\frac{k}{r} = \frac{m v ^{2}}{r} mv = k (independent or r) n (\frac{h}{2 π}) = m v r \Rightarrow r \propto n and T = \frac{1}{2} m v^{2} is independent of n .$

TestHub · Accepted Answer

​ r k ​ = r m v 2 ​ mv = k (independent or r ) n ( 2 π h ​ ) = m v r ⇒ r ∝ n and T = 2 1 ​ m v 2 is independent of n . ​

Physics - Modern Physics Question with Solution | TestHub

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