Q.
A charged particle with some initial velocity is projected in a region where non-zero electric and/or magnetic fields are present. In Column I, information about the existence of electric and/or magnetic field and direction of initial velocity of charged particle are given, while in Column II the probable path of the charged particle is mentioned. Match the entries of Column I with the entries of Column II.
Column I
Column II
A
$E =0, B \neq 0$, and initial velocity is at any angle with $B$
1
Straight line
B
$E \neq 0, B =0$ and initial velocity is at any angle with $E$
2
Parabola
C
$E \neq 0, B \neq 0, E \| B$ and initial velocity is $\perp$ to both
3
Circular
D
$E \neq 0, B \neq 0, E$ perpendicular to $B$ and $v$ perpendicular to both $E$ and $B$
4
Helical path with non-uniform pitch
Column I | Column II | ||
---|---|---|---|
A | $E =0, B \neq 0$, and initial velocity is at any angle with $B$ | 1 | Straight line |
B | $E \neq 0, B =0$ and initial velocity is at any angle with $E$ | 2 | Parabola |
C | $E \neq 0, B \neq 0, E \| B$ and initial velocity is $\perp$ to both | 3 | Circular |
D | $E \neq 0, B \neq 0, E$ perpendicular to $B$ and $v$ perpendicular to both $E$ and $B$ | 4 | Helical path with non-uniform pitch |
Moving Charges and Magnetism
Solution: