If the resistance of a heating coil is $484\, \Omega$ and the supply voltage is $220\, V\ AC$,how much time in $sec$ will the heater take to raise the temperature of $100\, g$ of water by $50^\circ C$?

For ensuring the dissipation of the same energy in all three resistors $({R_1}, {R_2}, {R_3})$ connected as shown in the figure,their values must be related as:

Given below are two statements:
Statement $I$: $A$ uniform wire of resistance $80\,\Omega$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be $5\,\Omega$.
Statement $II$: Two resistances $2\,R$ and $3\,R$ are connected in parallel in an electric circuit. The value of thermal energy developed in $3\,R$ and $2\,R$ will be in the ratio $3:2$.
In the light of the above statements,choose the most appropriate answer from the options given below.

The thermo emf of a thermocouple is given by $E = aT + bT^2$,where $\frac{a}{b} = -200^{\circ}C$. If the cold junction is kept at $30^{\circ}C$,then the inversion temperature is ($\varepsilon$ in volt,$T$ in centigrade). (in $K$)

What is the energy stored in the capacitor of the given circuit?

The production of $e.m.f.$ by maintaining a difference of temperature between the two junctions of two different metals is known as