Question

For the charge configuration shown here, which of the following is not true?

• A. \( \frac{q_1}{q_2} = 1 \)
• B. \( |q_1| = |q_2| \)
• C. \( |q_1|>|q_2| \)
• D. \( q_1 \text{ and } q_2 \text{ are negative} \)

Hint:

Number of electric field lines is proportional to magnitude of charge and direction shows sign of charge.

Answer 1

The Correct Option is C

Step 1: Analyze field line diagram.
Electric field lines are directed towards both charges, indicating that both charges are negative.

Step 2: Compare number of field lines.
The number of field lines terminating on both charges appears equal.

Step 3: Relation with charge magnitude.
Number of field lines is proportional to magnitude of charge.
Thus:
\[ |q_1| = |q_2| \]

Step 4: Check option (A).
\[ \frac{q_1}{q_2} = 1 \] This is true since magnitudes are equal and both are negative.

Step 5: Check option (B).
\[ |q_1| = |q_2| \] This is also true.

Step 6: Identify incorrect statement.
Statement \( |q_1|>|q_2| \) is incorrect.

Step 7: Final conclusion.
\[ \boxed{|q_1|>|q_2| \text{ is not true}} \] Hence, correct answer is option (C).