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In a cylinder provided with a piston, air is under pressure $P_1$ at a constant temperature ' $t$ '. A soap bubble with radius ' $r$ ' and surface tension ' $\mathrm{T}$ ' is lying inside the cylinder. To reduce the radius of the soap bubble to half, the required air pressure inside the cylinder is
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$8 \mathrm{P}_1+\frac{24 \mathrm{~T}}{\mathrm{r}}$
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