l g of cork with a charge 1 μC floats motionless 1 cm above a large uniformly charged plane near the surface of the earth. The surface charge density of the plane, assuming it to be an infinite sheet, is
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a
8.7×10-8C/m2
b
17.3×10-8C/m2
c
Zero
d
-1μC/m2
answer is B.
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Detailed Solution
The cork floats motionless if the weight of the cork is equal to electrostatic force due to uniformly charged plane near the earth's surface, i.e.,mg=Fe=QENow, electric field E due to large plane isE=σ2ε0 mg=σ2ε0Q σ=2ε0mgQ=2×8.85×10-12×10-3×9.81×10-6 =17.3×10-8C/m2