An electron and proton enter a magnetic field per

Question

An electron and proton enter a magnetic field perpendicularly. Both have same kinetic energy. Which of the following is true? ·

(A ) Trajectory of electron is less curved (B ) Trajectory of proton is less curved (C ) Both trajectories a1·e equally curved (D ) Both move on straight line path

the answer given is A but i think it should be B

Gopal Gopakumar · Accepted Answer

Here, less curved just means that radius is very high. Given that Kinetic energy is same..=> 1/2*mv2 = K (say)with some rearrangement,v = (2K/m)1/2 ….=> m*v = (2km)½.…Now, radius r = mv/qb here magnitude of q is same for electron and proton and magnetic field is same.which means radius is proportional to mv .=> radius is proportional to (2Km)1/2since proton has more m, it will have a larger radius and hence its path will be less curved.

Magnetism> An electron and proton enter a magnetic f...

Aditya Dev , 9 Years ago

Gopal Gopakumar

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Aditya Dev , 9 Years ago

Gopal Gopakumar

LIVE ONLINE CLASSES

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