A particle of charge q , mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius( r). Which of the following curves represents the var

Question

A particle of charge q , mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius( r). Which of the following curves represents the variation of r with E ?

TestHub · Accepted Answer

r mv 2 ​ = qvB mv = qBr E = 2 1 ​ mv 2 E = 2 1 ​ m ( m 2 q 2 B 2 r 2 ​ ) = 2 m q 2 B 2 r 2 ​ E = ( 2 m q 2 B 2 ​ ) r 2 r 2 ∝ E

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