Heating Effect of Current

Given below are two statements :
Statement I : A uniform wire of resistance $80 \mathrm{\Omega }$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be $5 \mathrm{\Omega }$.

Statement II : Two resistance $2R$ and $3R$ are connected in parallel in an electric circuit. The value of thermal energy developed in $3R$ and $2R$ will be in the ratio $3:2$.

In the light of the above statements, choose the most appropriate answer from the options given below

A direct current of $4 \mathrm{A}$ and an alternating current of peak value $4 \mathrm{A}$ flow through resistance of $3 \mathrm{\Omega }$ and $2 \mathrm{\Omega }$ respectively. The ratio of heat produced in the two resistances in same interval of time will be :

Two bulbs $25 \mathrm{W}-220 \mathrm{V}$ and $100 \mathrm{W}-220 \mathrm{V}$ are given. Which has higher resistance?

Consider the circuit shown in the figure. In which resistor the amount of power dissipated is the largest ?

An electric iron of $750 \mathrm{W}$ Power is connected to a $220 \mathrm{V}$ Mains. The current drawn by the iron is nearly.

In Joules's heating law, when $R$, and $t$, are constant. If $H$, is taken along the $y$, axis and $I^2$,along $x$,axis. The graph is

Two heating wires of equal length are first connected in series and then in parallel. If the combinations are separately connected across the same time. The ratio of heat produced in the first case to that on the second is. 

Three equal resistors connected in series with a source of emf together dissipate $10 \mathrm{W}$ of power. The power dissipated by these resistors connected in parallel will be

Of the two bulbs used in a house one glows more brightly than the other. Then which of the following statements is true ?

An electric iron of $750 \mathrm{W}$ Power is connected to a $220 \mathrm{V}$ Mains. The current drawn by the iron is nearly.

Three equal resistors connected in series with a source of emf to-gather dissipate $10 \mathrm{W}$ of power. The power dissipated by these resistors connected in parallel will be

An electric iron of $750 \mathrm{W}$ Power is connected to a $220 \mathrm{V}$ Mains. The current drawn by the iron is nearly.

In a large building, there are $15$ bulbs of $40 \mathrm{W}$, $5$ bulbs of $100 \mathrm{W}$, $5$ fans of $80 \mathrm{W}$ and $1$ heater of $1 \mathrm{kW}.$ The voltage of the electric mains is$220 \mathrm{V}$. The minimum capacity of the main fuse of the building will be:

The power consumed by a simple circuit having total resistance $R$ is $P$. If the resistance is reduced by half, the power consumed will be

An electric iron of $750 \mathrm{W}$ Power is connected to a $220 \mathrm{V}$ Mains. The current drawn by the iron is nearly.

The power dissipated in the circuit shown in the figure is $30 \mathrm{Watts}$. The value of $R$ is 

A filament bulb $\left(500 \mathrm{W},100 \mathrm{V}\right)$ is to be used in a $230 \mathrm{V}$ main supply. When a resistance $R$ is connected in series, it works perfectly and the bulb consumes $500 \mathrm{W}.$ The value of $R$ is:

$A$ current of $3 \mathrm{A}$ flows through the $2 \mathrm{\Omega }$ resistor shown in the circuit. The power dissipated in the $5 \mathrm{\Omega }$ resistor is

If in the circuit, power dissipation is $150 \mathrm{W}$ then $R$ is

A $100 \mathrm{W}$ bulb $B_1$ and two $60 \mathrm{W}$ bulbs $B_2$ and $B_3$ are connected to a $250 \mathrm{V}$ source as shown in the figure. Now $W_1,W_2$ and $W_3$ are the output powers of the bulbs $B_1,B_2$ and $B_3$ respectively. Then