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Positively charged particles are project...

Positively charged particles are projected into a magnetic field. If the direction of the magnetic field is along the direction of motion of the charged particles, the particles get

A

Accelerated

B

Decelerated

C

Deflected

D

No change in velocity

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the motion of positively charged particles in a magnetic field. Let's break it down step by step. ### Step 1: Understand the scenario We have positively charged particles moving in a magnetic field. The direction of the magnetic field is aligned with the direction of motion of the charged particles. ### Step 2: Identify the relevant formula The force experienced by a charged particle moving in a magnetic field is given by the equation: \[ F = q \cdot v \cdot B \cdot \sin(\theta) \] where: - \( F \) is the magnetic force, - \( q \) is the charge of the particle, - \( v \) is the velocity of the particle, - \( B \) is the magnetic field strength, - \( \theta \) is the angle between the velocity vector and the magnetic field vector. ### Step 3: Analyze the angle In this case, since the direction of the magnetic field is along the direction of motion of the charged particles, the angle \( \theta \) is 0 degrees. ### Step 4: Substitute the angle into the formula Substituting \( \theta = 0 \) into the force equation: \[ F = q \cdot v \cdot B \cdot \sin(0) \] Since \( \sin(0) = 0 \), we find: \[ F = 0 \] ### Step 5: Interpret the result Since the magnetic force \( F \) is zero, this means that there is no magnetic force acting on the charged particles. Therefore, the particles will not experience any change in their velocity due to the magnetic field. ### Step 6: Conclusion The positively charged particles will continue to move in the same direction with the same velocity, indicating that there is no change in their motion. ### Final Answer The correct option is: **No change in velocity.** ---
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