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Q.

A gold foil with surface density 160 mg/ cm2 kept on a charged, conducting surface just rises as its weight is balanced by the electric force. Calculate the surface charged density on the conducting surface

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a

0.6×10-5 c/m2

b

1.28×10-5 c/m2

c

1.666×10-5 c/m2

d

0.52×10-5 c/m2

answer is A.

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Detailed Solution

σ2ε0q=mgσ22ε0=mgAσ22×8.85×1012=160×106×10104σ=1.666×105C/m2

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A gold foil with surface density 160 mg/ cm2 kept on a charged, conducting surface just rises as its weight is balanced by the electric force. Calculate the surface charged density on the conducting surface