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Question : 8
Total: 26
Find the condition under which the charged particles moving with different speeds in the presence of electric and magnetic field vectors can be used to select charged particles of a particular speed.
Solution:
Condition
(i)For directions ofE , B ,
(ii)For magnitudes of
,
,
(i)The velocity
, of the charged particles, and the
and
vectors, should be mutually perpendicular.
Also the forces onq , due to
and
, must be oppositely directed.
(Also accept if the student draws a diagram to show the directions.)
(ii)q E = q v B
or v =
[Alternatively, The student may write : Force due to electric field= q
Force due to magnetic field= q (
×
)
The required condition is
q
= − q (
×
)
[or
= − (
×
) = (
×
)
(i)For directions of
(ii)For magnitudes of
(i)The velocity
Also the forces on
(Also accept if the student draws a diagram to show the directions.)
(ii)
[Alternatively, The student may write : Force due to electric field
Force due to magnetic field
The required condition is
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