An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii r e , r p , r α respectively in a uniform magnetic field B. The relation between r e , r p , r α is:

Question

An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii r e , r p , r α respectively in a uniform magnetic field B. The relation between r e , r p , r α is:, r e r α r p, r e > r P = r α, r e r p = r α, r e r p r α

MARKS App · Accepted Answer

r = m V q B = 2 m K q B ⇒ r ∝ m q . For electron, r e = k m e e Where, m e is the mass of an electron. m = the mass of a proton. For alpha particles, r α = k 4 m 2 e = k m e , q = charge on proton. For proton, r p = k m e , so, r e r p = r α .

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