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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawEasy2 minPYQ_2020

PhysicsEasysingle choice

The magnetic field at the centre (at nucleus) of the hydrogen-like atoms (atomic number = $Z$ ) due to the motion of an electron in $n^{t h}$ orbit is proportional to

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Answer:

Solution:

$B_{n} = \frac{μ_{0} I_{n}}{2 r_{n}}$

Or $B_{n} \propto \frac{I_{n}}{r_{n}} \propto \frac{(f_{n})}{2 r_{n}}$

$B_{n} \propto \frac{(\frac{v_{n}}{r_{n}})}{r_{n}} \propto \frac{v_{n}}{{(r_{n})}^{2}}$ $\propto \frac{(\frac{Z}{n})}{{(\frac{n^{2}}{Z})}^{2}} \propto \frac{Z^{3}}{n^{5}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law

⏱ 2mℹ️ Source: PYQ_2020

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