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STATEMENT - 1 : By making suitable arran...

STATEMENT - 1 : By making suitable arrangement, a magnetic field can cause a stationary charge to accelerate.
and
STATEMENT - 2 : A constant magnetic field cannot interact with stationary chrages.

A

Statement-1 is True, Statement-2, is True, Statement-2 is a correct explanation for Statement-5

B

Statement-1 is True, Statement-2, is True, Statement-2 is NOT a correct explanation for Statement-5

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 analyze the statements given in the question, let's break down the reasoning step by step. ### Step 1: Understanding Statement 1 **Statement 1** claims that a magnetic field can cause a stationary charge to accelerate if suitable arrangements are made. - In general, a magnetic field alone does not exert a force on a stationary charge. The force on a charge due to a magnetic field is given by the Lorentz force law, which states that the force \( \mathbf{F} \) on a charge \( q \) moving with velocity \( \mathbf{v} \) in a magnetic field \( \mathbf{B} \) is given by: \[ \mathbf{F} = q (\mathbf{v} \times \mathbf{B}) \] - Since the charge is stationary, \( \mathbf{v} = 0 \), and thus \( \mathbf{F} = 0 \). Therefore, a constant magnetic field cannot cause a stationary charge to accelerate. ### Step 2: Understanding Statement 2 **Statement 2** states that a constant magnetic field cannot interact with stationary charges. - This statement is correct. A constant magnetic field does not exert a force on stationary charges. The interaction occurs only when the charge is in motion relative to the magnetic field. ### Step 3: Analyzing the Relationship Between the Statements - While Statement 1 suggests that under certain conditions a magnetic field can cause acceleration of a stationary charge, it is important to note that this can only happen if there is a change in the magnetic field (i.e., a variable magnetic field). A changing magnetic field can induce an electric field (according to Faraday's law of electromagnetic induction), and this induced electric field can exert a force on the stationary charge, causing it to accelerate. ### Conclusion - **Statement 1** is **true** under the condition of a variable magnetic field, which can induce an electric field that interacts with the stationary charge. - **Statement 2** is also **true**, but it does not serve as an explanation for Statement 1. ### Final Answer - Both statements are true, but Statement 2 is not a correct explanation for Statement 1. ---
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