1.

In the previous problem, if two falling conductors attain velocities v_(1) and v_(2) respectively after falling through same height h, ratio of energy dissipated as heat to the energy dissipated in resistor per unit time for two conductors is same. Find which of the following condition will be satisfied

Answer»

`gh+1/2 v_(1)v_(2)=0`
`gh+ v_(1)v_(2)=0`
`1/2 gh+ v_(1)v_(2)=0`
`gh+ (v_(1)^(2)v_(2))/(v_(1)+v_(2))=0`

SOLUTION :`(mgh-(1)/(2)mv_(1)^(2))/(mgv_(1))=(mgh-(1)/(2)mv_(2)^(2))/(mgv_(2))`
`ghv_(2)-1/2 v_(1)^(2)v_(2)^(2)=ghv_(1)-(1)/(2)v_(2)^(2)v_(1)`
`gh(v_(1)-v_(2))=1/2 v_(1)v_(2)(v_(1)-v_(2))`
`gh+1/2 v_(1)v_(2)=0`.


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