Year: 2025
Topic: Units and Measurements
Time :
1.
A baloon 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 \(\rho\) and takes a spherical share 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 \(r^a\) and \(\text{T} \propto \text{S}^\alpha \text{A}^\beta \rho^\gamma \text{R}^\delta\) then