Two identical long, solid cylinders are used to conduct heat from temp `T_(1)` to Temp `T_(2)`. Originally the cylinders are connected in series and the rate of heat transfer is H. If the cylinders are connected in parallel then the rate of heat transer would be:

If two heaters, each of power 1 kW are connected in parallel to a 250 V supply, their combined rate of heating will be

When two identical batteries of internal resistance 1Omega each are connected in series across a resistor R, the rate of heat produced in R is J_1 . When the same batteries are connected in parallel across R, the rate is J_2= 2.25 J_1 then the value of R in Omega is

When two identical batteries of internal resistance 1Omega each are connected in series across a resistor R, the rate of heat produced in R is J_1 . When the same batteries are connected in parallel across R, the rate is J_2 = 2.25 J_2 then the value of R in Omega is

A long resistance wire is divided into 2n parts. Then n parts are connected in series and the other n parts in parallel separately. Both combinations are connected to identical supplies. Then the ratio of heat produced in series to parallel combinations will be -

A long resistance wire is divided into 2n parts. Then n parts are connected in series and the other n parts in parallel separately. Both combinations are connected to identical supplies. Then the ratio of heat produced in series to parallel combinations will be -

Two conducting wires of the same material and of equal length and equal diameters are first connected in series and then in parallel in an electric circuit. The ratio of the heat produced in series and parallel combinations would be :