A bottle is kept on the ground as shown in the figure. The bottle can be modelled as having two ...

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A bottle is kept on the ground as shown in the figure. The bottle can be modelled as having two cylindrical zones. The lower zone of the bottle has a cross-sectional radius of \( R \sqrt{2} \) and is filled with honey of density \( 2 \rho \). The upper zone of the bottle is filled with the water of density \( \rho \) and has a crosssectional radius \( R \). The height of the lower zone is \( H \) while that of the upper zone is \( 2 \mathrm{H} \). If now the honey and the water parts are mixed together to form a homogeneous solution : (Assume that total volume does not change)
(a) The pressure inside the bottle at the base will remain unaltered.
(b) The normal reaction on the bottle from the ground will remain unaltered
(c) The pressure inside the bottle at the base will increase by an amount \( (1 / 2) \rho g \mathrm{H} \)
(d) The pressure inside the bottle at the base will decrease by an amount \( (1 / 4) \rho g \mathrm{H} \)
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