Question

an electron and proton moving parallel to each other in the same direction with equal momenta enter into a uniform magnetic field which is at right angles to their velocities trace their trajectories in the magnetic field​

Answer 1

refer to the attachment....

it might helps uh.....

Answer 2

Given that,

An electron and proton moving parallel to each other in the same direction with equal momenta enter into a uniform magnetic field.

Momentum of both electron and proton are equal.

$P=mv$.....(II)

We know that,

The magnetic force is

$F = qvB$....(II)

Where, q = charge

v = velocity

B = magnetic field

This force provides the required centripetal force for the motion along circular path whose radius is r.

We need to calculate their trajectories in the magnetic field​

Using formula of centripetal force

$F_{c}=\dfrac{mv^2}{r}$...(III)

From equation (II) and (III)

$\dfrac{mv^2}{r}=qvB$

$r=\dfrac{mv}{qB}$

Put the value of mv from equation (I)

$r=\dfrac{p}{qB}$

Hence, Their trajectories in the magnetic field​ are $\dfrac{p}{qB}$