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Statement-1 In a region of space, both e...

Statement-1 In a region of space, both electric and magnetic field act in same direction. When a charged particle is projected parallel to fields, it moves undeviated
Statement-2 Here, net force on the particle is not zero

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-7

B

Statement-1 is True, Statement-2, is True, Statement-2 is NOT a correct explanation for Statement-7

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements provided in the question: **Statement 1**: In a region of space, both electric and magnetic fields act in the same direction. When a charged particle is projected parallel to the fields, it moves undeviated. **Statement 2**: Here, the net force on the particle is not zero. ### Step-by-Step Solution: 1. **Understanding the Fields**: - We have both electric field (E) and magnetic field (B) acting in the same direction. - A charged particle (with charge \( q \)) is projected parallel to these fields. 2. **Forces Acting on the Charged Particle**: - The force acting on a charged particle due to the electric field is given by: \[ F_E = qE \] - The force acting on the charged particle due to the magnetic field is given by: \[ F_B = q(\vec{v} \times \vec{B}) \] - Since the particle is moving parallel to the direction of the magnetic field, the angle between the velocity vector \( \vec{v} \) and the magnetic field \( \vec{B} \) is 0 degrees. Thus, the magnetic force becomes: \[ F_B = qvB \sin(0) = 0 \] - Therefore, the magnetic force \( F_B \) is zero. 3. **Net Force on the Particle**: - The only force acting on the particle is the electric force \( F_E = qE \). - Since \( F_B = 0 \), the net force \( F_{net} \) on the particle is: \[ F_{net} = F_E + F_B = qE + 0 = qE \] - Thus, the net force is not zero as long as \( q \) and \( E \) are not zero. 4. **Motion of the Charged Particle**: - The charged particle experiences a force \( F_E \) in the direction of the electric field. - Since there is no magnetic force acting on it, the particle will continue to move in a straight line in the direction of the electric field without deviation. 5. **Conclusion**: - **Statement 1** is correct because the charged particle moves undeviated due to the absence of magnetic force. - **Statement 2** is also correct because there is a net force acting on the particle due to the electric field. - However, **Statement 2** does not correctly explain **Statement 1** because the reason for the undeviated motion is the absence of magnetic force, not just the presence of electric force. ### Final Answer: - **Statement 1**: True - **Statement 2**: True - **Statement 2 is not a correct explanation for Statement 1**.
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