Start Free Mock LoginAlready registered? Login here

Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsNuclear physicsMedium2 minQB

PhysicsMediumsingle choice

According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen atom due to the motion of electrons in the $n^{t h}$ orbit is proportional to: ( $n =$ principal quantum number)

Options:

Answer:

Solution:

$v \propto \frac{z}{n}$

$r \propto \frac{n ^{2}}{z}$

$B = \frac{μ I}{2 R}$

$I = \frac{e}{T} = \frac{e}{( \frac{2 π R}{v} )} = \frac{e}{2 π} \frac{v}{R}$

$B = \frac{μ _{0}}{2} \frac{e}{2 π} \frac{v}{R ^{2}}$

$B = \frac{μ _{0} e}{4 π} \frac{z}{n ( \frac{n ^{2}}{z} ) ^{2}}$

$B = \frac{μ _{0} e}{4 π} \frac{z ^{3}}{n ^{5}}$

$B \propto n^{- 5}$ .

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Nuclear physics

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...