In the circuit shown in the figure,the $5\,\Omega$ resistance develops $20.00\,cal/s$ due to the current flowing through it. The heat developed in the $2\,\Omega$ resistance (in $cal/s$) is

  • A
    $23.8$
  • B
    $14.2$
  • C
    $11.9$
  • D
    $7.1$

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$A$ silver voltmeter and a copper voltmeter are connected in parallel to a $12\ V$ battery. In $30\ minutes$,$1\ g$ of silver and $1.8\ g$ of copper are deposited. The power supplied by the battery is .... $(Z_{Cu} = 6.6 \times 10^{-4}\ g/C$ and $Z_{Ag} = 11.2 \times 10^{-4}\ g/C)$ (in $J/s$)

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The net current flowing in the given circuit is . . . . . . $\text{A}$.

Column-$I$ gives certain physical quantities associated with the flow of current through a metallic conductor. Column-$II$ gives some mathematical relations involving electrical quantities. Match Column-$I$ and Column-$II$ with appropriate relations.
$A$. Mobility$P$. $\frac{m}{ne^2 \rho}$
$B$. Electrical conductivity$Q$. $neAv_{d}$
$C$. Relaxation period$R$. $\frac{v_{d}}{E}$
$D$. Current$S$. $\frac{J}{E}$

$A$ wire of resistance $10 \, \Omega$ is bent to form a circle. $P$ and $Q$ are points on the circumference of the circle dividing it into a quadrant and are connected to a battery of $3 \, V$ and internal resistance $1 \, \Omega$ as shown in the figure. The currents in the two parts of the circle are

If the temperature of the cold junction of a thermocouple is lowered,then the neutral temperature

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