$A$ fuse wire with radius $1\, mm$ blows at $1.5\, A$. The radius of the fuse wire of the same material to blow at $3\, A$ will be:

  • A
    $4^{1/3}\, mm$
  • B
    $3^{1/4}\, mm$
  • C
    $2^{1/2}\, mm$
  • D
    $3^{1/2}\, mm$

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The Thomson coefficient of a conductor is $10 \mu V/K$. The two ends of the conductor are kept at $50^{\circ} C$ and $60^{\circ} C$, respectively. The amount of heat absorbed by the conductor when a charge of $10 C$ flows through it is:

Match List-$I$ with List-$II$ and select the correct answer using the codes given below the lists.
List-$I$ List-$II$
$I$. Joule $A$. $\text{Henry} \times \text{Amp/sec}$
$II$. Watt $B$. $\text{Farad} \times \text{Volt}$
$III$. Volt $C$. $\text{Coulomb} \times \text{Volt}$
$IV$. Coulomb $D$. $\text{Oersted} \times \text{cm}$
$E$. $\text{Amp} \times \text{Gauss}$
$F$. $\text{Amp}^2 \times \text{Ohm}$

The variation of current $(I)$ and voltage $(V)$ is as shown in figure $A$. The variation of power $P$ with current $I$ is best shown by which of the following graphs?

The temperature at which thermo-emf is zero is

In the given circuit,the reading of the voltmeter connected across the $400\,\Omega$ resistor is $30\,V$. If it is connected across the $300\,\Omega$ resistor,what will be its reading in $V$?

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