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A small spherical body of radius r is fa...

A small spherical body of radius r is falling under gravity in a viscous medium. Due to friction the medium gets heated. How does the rate of heating depends on radius of body when it attains terminal velocity?

Text Solution

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Rate of heat produced = F.v = `6 pieta rv_(tau).v_(tau)`
`(dQ)/(dt) = 6 pieta r.c2/tau , v_(T)=2/9 (sigma - rho) r^(2)g/eta `
`(dQ)/(dt) prop r^(5)`
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