Question

A charged particle is projected an angle 8 in uniform magnetic field with speed v. After time t its speed will be

v sine

V cose

V

Zero​

Answer 1

Explanation:

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Answer 2

Answer:

The velocity of the particle after time t remains same.

Explanation:

Lorentz force:

• Force on a particle with charge $q$ moving with velocity $\vec v$  through a magnetic field $\vec B$ is called Lorentzian force and is given by

       $\vec F=q\big(\vec v\times \vec B\big)$

• The cross product between the force, velocity and magnetic field, says that the force act perpendicular to both the velocity and the magnetic field.
• When $\vec v$  is perpendicular to $\vec B$ , then the magnitude of force is $F=qvB sin\theta$, and due to the force the particle follow a circular path of radius, $r = mv/qB$.
• Given the body is projected in uniform magnetic field, then the centripetal force produce uniform circular motion.
• In a uniform circular motion,  velocity is constant.
• The direction of velocity is along the tangent of a circle, which changes with time but the magnitude of velocity remains constant.

Therefore, the velocity of the particle after time t remains same.

So, the correct answer is option 3.

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