One end of a metal rod of length $1.0 m$ and area of cross section $100c{m^2}$ is maintained at ${100^o}C.$If the other end of the rod is maintained at ${0^o}C$, the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod =$100W/m-K$)
Medium
Download our app for free and get startedPlay store
(b) $\frac{Q}{t} = \frac{{KA({\theta _1} - {\theta _2})}}{l} = \frac{{100 \times 100 \times {{10}^{ - 4}}(100 - 0)}}{1}$
$ \Rightarrow \frac{Q}{t} = 100\;Joule/\sec  = 6 \times {10^3}\;Joule/\min $
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.*

Similar Questions

  • 1
    A cubic metal block of mass $5 \,kg$ and edge length $0.1 \,m$ and at an initial temperature of $100^{\circ} C$ is placed on a thermally insulating flat surface and exposed to air at $0^{\circ} C$. The time in seconds required to cool the block to a temperature of $37^{\circ} C$ is closest to

    (Note: Specific heat of the metal $=500 \,J / kg /{ }^{\circ} C$; Heat transfer coefficient from block to air $=50 \,W / m ^2 /{ }^{\circ} C$ )

    View Solution
  • 2
    The maximum energy in thermal radiation from a source occurs at the wavelength $4000Å$ . The effective temperature of the source is ....... $K$
    View Solution
  • 3
    $A$ metal rod of length $2$$m$ has cross sectional areas $2A$ and $A$ as shown in figure. The ends are maintained at temperatures $100°C$ and $70°C$ . The temperature at middle point $C$ is...... $^oC$
    View Solution
  • 4
    A black body is at a temperature of $500 \;K$, it emits energy at a rate which is proportional to
    View Solution
  • 5
    A body takes $5$ minutes to cool from $90^oC$ to $60^oC$. If the temperature of the surroundings is $20^oC$, the time taken by it to cool from $60^oC$ to $30^oC$ will be ...... $\min.$
    View Solution
  • 6
    Two identical metal balls at temperature ${200^o}C$and ${400^o}C$ kept in air at ${27^o}C$. The ratio of net heat loss by these bodies is
    View Solution
  • 7
    Three identical rods $AB$, $CD$ and $PQ$ are joined as shown. $P$ and $Q$ are mid points of $AB$ and $CD$ respectively. Ends $A, B, C$ and $D$ are maintained at $0^o C, 100^o C, 30^o C$ and $60^o C$ respectively. The direction of heat flow in $PQ$ is
    View Solution
  • 8
    Five identical rods are joined as shown in figure. Point $A$ and $C$ are maintained at temperature $120^o C$ and $20^o C$ respectively. The temperature of junction $B$ will be....... $^oC$
    View Solution
  • 9
    $Assertion :$ Woolen clothes keep the body warm in winter
    $Reason :$ Air is a bad conductor of heat.
    View Solution
  • 10
    A black metal foil is warmed by radiation from a small sphere at temperature $T$ and at a distance $d$. It is found that the power received by the foil is $`P$ '. If both the temperature and the distance are doubled, the power received by the foil will be
    View Solution