PHY · PHY-2025-C45-024भौतिकशास्त्र (Physics)
A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A. It is filled with a gas of density ρ and takes a spherical shape of radius R. When the gas is allowed to flow freely out of it, its radius r changes from R to 0 (zero) in time T. If the speed v(r) of gas coming out of the balloon depends on r as rᵃ and T ∝ SᵅAᵝργRᵟ