Two spherical balls of radius \(r_1\) and \(r_2\left(<r_1\right)\) and of density \(\sigma\) ....

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Two spherical balls of radius \(r_1\) and \(r_2\left(<r_1\right)\) and of density \(\sigma\) are tied up with a long string and released in a viscous liquid column of lesser density \(\rho\) with the string just taut as shown. Find the tension in the string when terminal velocity is attained:
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