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Asked in JEE Main 2014 · Polarisation and bound charge
Inside a dielectric the free charge density on the plate is fixed by E=σ/(Kε₀), so σ=Kε₀E.
Kε₀=2.2×8.85×10⁻¹²=1.947×10⁻¹¹.
σ=1.947×10⁻¹¹×3×10⁴=5.84×10⁻⁷ C m⁻².
This is close to 6×10⁻⁷ C m⁻². (The plate separation of 5 mm is not needed.)
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