Question

An electron and a proton are moving along the same direction with the
same kinetic energy. They enter a uniform magnetic field acting
perpendicular to their velocities. The dependence of radius of their paths
on their masses is :
„(a) ram (b) raſm (c) raha (d)

Answer 1

Answer:

R=mv/qB

Explanation:

you can find now whatever you want?

Answer 2

The radius of their paths  depend on their square root of masses.

Explanation:

Given that,

An electron and a proton are moving along the same direction with the same kinetic energy.

$k=\dfrac{1}{2}mv^2$

$mv=\sqrt{2mk}$

When a charged particle enters a magnetic field perpendicularly, it moves on a circular path.

We need to calculate the radius of their paths  on their masses

The centripetal force is provided by the magnetic force

$F_{B}=F_{c}$

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

$r=\dfrac{mv}{qB}$.....(I)

The radius for electron and proton

$\dfrac{r_{e}}{r_{p}}=\srt{\dfrac{m_{e}}{m_{p}}}$

Hence, The radius of their paths  depend on their square root of masses.

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Topic : magnetic field

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