Download App
A rod of length $l$ with thermally insulated lateral surface is made of a material whose thermal conductivity $K$ varies as $K = C/T$ , where $C$ is a constant. The ends are at temperatures $T_1$ and $T_2$ . The heat current density is
  • A$C\,\ln \,\frac{{{T_2}}}{{{T_1}}}$
  • B$\frac{C}{l}\,\ln \,\left( {\frac{{{T_2}}}{{{T_1}}}} \right)$
  • C$\frac{C}{l}\,\ln \,\left( {{T_1}{T_2}} \right)$
  • D$Cl\,\ln \,\left( {\frac{{{T_2}}}{{{T_1}}}} \right)$
Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Download App

Similar Questions

  • 1
    The adjoining figure shows the connections of potentiometer experiment to determine internal resistance of of a leclanche cell. When the cell is on open circuit the balancing length of the potentiometer wire is $3.4\, m$ and on closing the key $K_2$ the balancing length becomes $1.7\, m$ . If the resistance $R$ through which current is drawn is $10\,\Omega $ then the internal resistance of the cell is .............. $\Omega$
    View Solution
  • 2
    $A$ current $I$ flows through a uniform wire of diameter $d$ when the mean electron drift velocity is $V$. The same current will flow through a wire of diameter $d/2$ made of the same material if the mean drift velocity of the electron is :
    View Solution
  • 3
    The resistive network shown below is connected to a $D.C.$ source of $16\, V$. The power consumed by the network is $4\, Watt$. The value of $R$ is ............. $\Omega$
    View Solution
  • 4
    In the adjoining circuit, the potential difference across $3\,\,\Omega $ is ................ $\mathrm{V}$
    View Solution
  • 5
    An electric bulb of $100\, watt$ is connected to a supply of electricity of $220\, V$. Resistance of the filament is ............. $\Omega$
    View Solution
  • 6
    The current $i_1$ and $i_2$ through the resistors $R_1(=10\,\Omega )$ and ${R_2}\left( { = 30\,\Omega } \right)$ in the circuit diagram with $E_1 = 3\,V$, $E_2 = 3\,V$ and $E_3 = 2\,V$ are respectively 
    View Solution
  • 7
    Some electric bulbs are connected in series across a $220\, V$ supply in a room. If one bulb is fused then remaining bulbs are connected again in series across the same supply. The illumination in the room will
    View Solution
  • 8
    You are given a resistance wire of length $50\, cm$ and a battery of negligible resistance. In which of the following cases is largest amount of heat generated
    View Solution
  • 9
    Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance $2000 \,\Omega$ is used to measure the potential difference across $500 \,\Omega$ resister, the reading of the voltmeter will be ............... $V$
    View Solution
  • 10
    A $5.0\, amp$ current is setup in an external circuit by a $6.0\, volt$ storage battery for $6.0$ minutes. The chemical energy of the battery is reduced by
    View Solution