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Class 12 › Physics › Electric Charge and Field
CBSE2023Class Class 12 · Physics1 Marks · Mcq✅ Verified
The magnitude of the electric field due to a point charge object at a distance of 4.0 m is 9 N/C. From the same charged object the electric field of magnitude 16 N/C will be at a distance of:
A. 1 m
B. 2 m
C. 3 m
D. 6 m
✅ Answer & Solution
✅ Correct Answer: C
<b>Concept:</b> Electric field due to a point charge varies inversely with square of distance.<br><br><b>Formula:</b> E ∝ 1/r²<br><br><b>Step 1:</b> Apply ratio:<br>E<sub>1</sub>/E<sub>2</sub> = (r<sub>2</sub>/r<sub>1</sub>)²<br><br><b>Step 2:</b> Substitute values:<br>9/16 = (r<sub>2</sub>/4)²<br><br><b>Step 3:</b> Solve:<br>r<sub>2</sub>² = 9<br>r<sub>2</sub> = <b>3 m</b><br><br><b>Answer:</b> Option (C) 3 m
