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← JEE Main 2022 · 27 Jul · Shift 2
PhysicsInteger+4 / -1Question 58 of 90

JEE Main 2022 · 27 Jul · Shift 2, Physics question 58

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 ______.

Answer and worked solution

Official answer: 2

Excess pressure. Inside the inner bubble: 4S(16+13)=4S24S\left(\frac16+\frac13\right)=\frac{4S}2, matching a single bubble of radius 2 cm.

Answer: 2