A proton and an alpha particle moving with the same kinetic energy enter a uniform magnetic field normally the radii of their circular paths will be in the ratio
Answers
Answered by
0
Answer:
Kinetic energy of α particle is equal to the kinetic energy of proton.
2
1
m
α
v
α
2
=
2
1
m
p
v
p
2
We know m
α
=4m
p
⟹v
p
=2v
α
Magnetic force acting on a particle in a magnetic field provides the necessary centripetal force for circular motion.
R
mv
2
=qvB
R=
qB
mv
Therefore, ratio of radii of the paths of α particle to that of proton is:
R
p
R
α
=
q
p
B
m
p
v
p
q
α
B
m
α
v
α
m
α
=4m
p
;v
p
=2v
α
;q
α
=2q
p
Substituting values,
R
α
:R
p
=1:1
plz follow me and like this answer plz
Similar questions