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.

A $5 \mathrm{A}$ fuse wire can withstand a maximum power of $1 \mathrm{W}$ in circuit. The resistance of the fuse wire is: 

A $10 \mathrm{m}$ long nichrome wire having $80 \mathrm{\Omega }$ resistance has current carrying capacity of $5 \mathrm{A}.$ This wire can be cut into equal parts and equal parts can be connected in series or parallel. What is the maximum power which can be obtained as heat by the wire from a $200 \mathrm{V}$ mains supply (in $\mathrm{kW}$) ?

Following figures show different combinations of the identical bulb (s) connected to identical battery (ies). Which option is correct regarding the total power dissipated in the circuit?

A light bulb of resistance $R=16 \mathrm{\Omega }$ is attached in series with an infinite resistor network with identical resistances r as shown below. A $10 \mathrm{V}$ battery derives current in the circuit. What should be the value of $r$ such that the bulb dissipated about $1 \mathrm{W}$ of power.

A power plant produces a constant electrical power $P$. This electricity is transmitted from power plant to the residential colony via transmission cables of constant resistance $R_{\mathrm{c}}$. If the electrical power is sent at a voltage $V$, the power wasted in the transmission cables will be approximately proportional to,