Question

An electron and a proton enter a magnetic field perpendicularly.both have same kinetic energy energy.than their trajectory will be

Answer 1

Answer:

trajectory of electron is less curved.

Explanation:

When a charged particle enters a magnetic field perpendicularly, it moves on a circular path. The required centripetal force is provided by the magnetic force.

i.e., Magnetic force = Centripetal force

⇒qvB=  

r

mv  

2

 

​

                ....(i)

Now, kinetic energy of the particle

k=  

2

1

​

mv  

2

 

⇒mv=  

2mk

​

 

Therefore, equation (i) becomes

r=  

qB

2mk

​

 

​

⇒  

r  

p

​

 

r  

e

​

 

​

=  

m  

p

​

 

m  

e

​

 

​

 

​

 

As, m  

e

​

<m  

p

​

; so, r  

e

​

<r  

p

​

 

Hence, trajectory of electron is less curved.