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PhysicsMediumNumerical2022 · 27 Jul Shift 2

Q24.A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single soap bubble of radius r cm. The value of r is _____

What This Question Tests

This question involves calculating the excess pressure inside two concentric soap bubbles and equating it to the excess pressure of a single equivalent bubble to find its radius.

Concepts Tested

Excess pressure in a soap bubbleSurface tensionPressure difference across curved surfaces

Formulas Used

ΔP = 4T/R (for a single soap bubble)

ΔP = 2T/R (for a liquid drop/air bubble in liquid)

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