Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMotion analysis in electric & magnetic fieldMedium2 minPYQ_2020

PhysicsMediumsingle choice

An alternating electric field of frequency $f$ is applied across the radius $R$ of a cyclotron to accelerate protons (mass $m$ ). The operating magnetic field $B$ used and K.E. of the proton beam produced by it are respectively ( $e =$ charge on proton)

Options:

Answer:

Solution:

$T = \frac{2 π m}{e B}$

$R = \frac{m f}{e B} = \frac{P}{e B}$

$B = \frac{2 π m}{e} f$

$P = e B R = e \times \frac{2 π m υ}{e} R$

$K . E = \frac{P^{2}}{2 m} = \frac{{(2 π m f R)}^{2}}{2 m}$

$= 2 π^{2} m f^{2} R^{2}$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Motion analysis in electric & magnetic field

⏱ 2mℹ️ Source: PYQ_2020

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