A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let r_p ,r_e and r_ He be their respective…

Question

A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let r_p ,r_e and r_ He be their respective radii, then,

Accepted Answer

Correct answer: B. (b) JEE Main 2019 As mvr= qvB ⇒r= mv qB= 2 mK .E qB ( As : 12 mv^2=K .E) ⇒m^2v^2=2 mK .E ⇒ mv= 2 mK .E . ] For proton, electron and -particle, m_ He=4m_p andm_p ≫m_e Also a_ He=2q_p and q_p=q_e ∴ As KE of all the particles is same then, r mq ∴r_ He=r_p>r_e

$A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let r_{p}, r_{e} and r_{He} be their respective radii, then,$

Solution

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