KCET · Physics · Magnetic Effects of Current
In the cyclotron, as radius of the circular path of the charged particle increases (to = angular
velocity, \( v= \) linear velocity)
- A both \( \omega \) and \( v \) increases
- B \( \omega \) only increases, \( v \) remains constant
- C \( v \) increases, \( \omega \) remains constant
- D \( v \) increases, \( \omega \) decreases
Answer & Solution
Correct Answer
(C) \( v \) increases, \( \omega \) remains constant
Step-by-step Solution
Detailed explanation
The radius of circular path is given as
\(r=\frac{m v \sin \theta}{q} B\)
\(\Rightarrow r \propto v\)
Thus in a cyclotron, as radius of the circular path of charged particle increases \( v \) increases and \( \omega \) remains unchanged.
\(r=\frac{m v \sin \theta}{q} B\)
\(\Rightarrow r \propto v\)
Thus in a cyclotron, as radius of the circular path of charged particle increases \( v \) increases and \( \omega \) remains unchanged.
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