An electron is projected with uniform velocity along the axis inside a current-carrying long solenoid. Then

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Q.
An electron is projected with uniform velocity along the axis inside a current-carrying long solenoid. Then [2024]

1 the electron will continue to move with uniform velocity along the axis of the solenoid

2 the electron will be accelerated along the axis

3 the electron path will be circular about the axis

4 the electron will experience a force at 45° to the axis and execute a helical path

Ans.
(1)

The force on a charged particle moving in a magnetic field, $\vec{F} = q (\vec{v} \times \vec{B})$

Since $\vec{v} ∥ \vec{B}$ so the force on the electron due to the magnetic field is zero.

So it will move along the axis with uniform velocity.

Solution

Q.
An electron is projected with uniform velocity along the axis inside a current-carrying long solenoid. Then [2024]

1 the electron will continue to move with uniform velocity along the axis of the solenoid

2 the electron will be accelerated along the axis

3 the electron path will be circular about the axis

4 the electron will experience a force at 45° to the axis and execute a helical path

Ans.
(1)

The force on a charged particle moving in a magnetic field, $\vec{F} = q (\vec{v} \times \vec{B})$

Since $\vec{v} ∥ \vec{B}$ so the force on the electron due to the magnetic field is zero.

So it will move along the axis with uniform velocity.

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Solution

Q. An electron is projected with uniform velocity along the axis inside a current-carrying long solenoid. Then [2024]

1 the electron will continue to move with uniform velocity along the axis of the solenoid

2 the electron will be accelerated along the axis

3 the electron path will be circular about the axis

4 the electron will experience a force at 45° to the axis and execute a helical path

Ans. (1) The force on a charged particle moving in a magnetic field, F→=q(v→×B→) Since v→∥B→ so the force on the electron due to the magnetic field is zero. So it will move along the axis with uniform velocity.

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Q.
An electron is projected with uniform velocity along the axis inside a current-carrying long solenoid. Then [2024]

Ans.
(1)

The force on a charged particle moving in a magnetic field, $\vec{F} = q (\vec{v} \times \vec{B})$

Since $\vec{v} ∥ \vec{B}$ so the force on the electron due to the magnetic field is zero.

So it will move along the axis with uniform velocity.