CBSE Class 12 Physics 2017 Outside Delhi Set 1 Paper

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Question : 8 of 26
 
Marks: +1, -0
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 of E,B,v→
(ii)For magnitudes of E→,B→,v→
(i)The velocity v→ , of the charged particles, and the E→ and B→ vectors, should be mutually perpendicular.
Also the forces on q , due to E→ and B→, must be oppositely directed.
(Also accept if the student draws a diagram to show the directions.)

(ii) qE=qvB
or v=EB
[Alternatively, The student may write : Force due to electric field =qE→
Force due to magnetic field =q(v→×B→)
The required condition is
qE→=−q(v→×B→)
[or E→=−(v→×B→)=(B→×v→)
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