A water heater has a well insulated vertical cylindrical container of radius a in which water is filled to a height `h`. A resistor made of an allow is used to heat the water in the tank from a temperature `theta_(1)` to `theta_(2) (gt theta_(1))` in a time interval `Deltat`. The resistor wire has cross sectional radius b and its alloy material has resistivity `rho`. Calculate the length of the resistor wire. Density and specific heat capacity of water are `d and s` respectively. The power source connected to the resistor has emf `epsilon`.

A water heater has a well insulated vertical cylindrical container of

1.	A water heater has a well insulated vertical cylindrical container of radius a in which water is filled to a height `h`. A resistor made of an allow is used to heat the water in the tank from a temperature `theta_(1)` to `theta_(2) (gt theta_(1))` in a time interval `Deltat`. The resistor wire has cross sectional radius b and its alloy material has resistivity `rho`. Calculate the length of the resistor wire. Density and specific heat capacity of water are `d and s` respectively. The power source connected to the resistor has emf `epsilon`.
Answer» Correct Answer - `(epsilon^(2)b^(2))/(rhohsa^(2))(Deltat)/((theta_(2)-theta_(1)))`

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