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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsAtomic structureEasy2 minPYQ_2020

PhysicsEasysingle choice

According to Bohr's model, the magnetic field at the centre (at the nucleus) of a hydrogen atom due to motion of an electron in the $n^{t h}$ orbit is proportional to

Options:

Answer:

Solution:

For an electron revolving around the nucleus,
$i = e f$
$f \propto \frac{z^{2}}{n^{3}}$
$i \propto e \frac{z^{2}}{n^{3}}$

Again we know that,
$r \propto \frac{n^{2}}{Z}$

Magnetic field at the center of the hydrogen atom, $B = \frac{μ_{0} i}{2 r}$
$B \propto \frac{μ_{0} Z^{3}}{2 n^{5}}$
$B \propto \frac{1}{n^{5}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure

⏱ 2mℹ️ Source: PYQ_2020

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