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.......

Question

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....... (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/4219b9eaf38867aee7e95db4bc260d34-.png" /> P 2- P 0=(4 T /6) P 1- P 2=(4 T /3) ⇒ P 1- P 0=(4 T /2)=2

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

P2​−P0​=64T​&P1​−P2​=34T​ ⇒P1​−P0​=24T​=2

$P_{2} - P_{0} = \frac{4 T}{6} & P_{1} - P_{2} = \frac{4 T}{3}$
$\Rightarrow P_{1} - P_{0} = \frac{4 T}{2} = 2$