A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. If g is acceleration due to gravity then the acceleration (a) of the cha

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Solution

Q.
A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. If g is acceleration due to gravity then the acceleration (a) of the charged particle will satisfy : [2026]

1 a > g

2 a = g

3 0 < a < g

4 a = 0

Ans.
(2)

Since the solenoid is placed vertically, the magnetic field inside the solenoid will be either along $- y$ or $+ y$ axis.

$\Rightarrow Particle will gain velocity along - y axis.$

$\Rightarrow {\vec{F}}_{B} = q (\vec{v} \times \vec{B})$

$\Rightarrow {\vec{F}}_{B} = 0$

$\Rightarrow {\vec{F}}_{net} = m \vec{g}$

$\Rightarrow a_{net} = g$

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