A sphere, a cube and a thin circular plate, all made of the same mass and finish are heated to a temperature of $200^{\circ} C$. Which of these objects will cool slowest, when left in air at room temperature?
Easy
Download our app for free and get startedPlay store
(a)

Objects with more surface area cool faster [Stefan Boltzmann law].

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
    The rate of heat flow through the cross-section of the rod shown in figure is ($T_2 > T_1$ and thermal conductivity of the material of the rod is $K$)
    View Solution
  • 2
    An ice cube of dimensions $60\,cm \times 50\,cm \times 20\,cm$ is placed in an insulation box of wall thickness $1\,cm$. The box keeping the ice cube at $0^{\circ}\,C$ of temperature is brought to a room of temperature $40^{\circ}\,C$. The rate of melting of ice is approximately. (Latent heat of fusion of ice is $3.4 \times 10^{5}\,J\,kg ^{-1}$ and thermal conducting of insulation wall is $0.05\,Wm ^{-10} C ^{-1}$ )
    View Solution
  • 3
    On a clear sunny day, an object at temperature $T$  is placed on the top of a high mountain. An identical object at the same temperature is placed at the foot of mountain. If both the objects are exposed to sun-rays for two hours in an identical manner, the object at the top of the mountain will register a temperature
    View Solution
  • 4
    The temperature of sun is $5500 K$ and it emits maximum intensity radiation in the yellow region $(5.5 \times {10^{ - 7}}m)$. The maximum radiation from a furnace occurs at wavelength $11 \times {10^{ - 7}}m.$The temperature of furnace is ....... $K$
    View Solution
  • 5
    Steel wire of length ' $L$ ' at $40^{\circ} C$ is suspended from the ceiling and then a mass ' $m$ ' is hung from its free end. The wire is cooled down from $40^{\circ} C$ to $30^{\circ} C$ to regain its original length ' $L$ '. The coefficient of linear thermal expansion of the steel is $10^{-5} /{ }^{\circ} C$, Young's modulus of steel is $10^{11} N / m ^2$ and radius of the wire is $1 \ mm$. Assume that $L \gg$ diameter of the wire. Then the value of ' $m$ ' in $kg$ is nearly
    View Solution
  • 6
    Two rods, one made of copper and the other steel of the same length and cross-sectional area are joined together. The thermal conductivity of copper is $385 \,Js ^{-1} m ^{-1} K ^{-1}$ and steel is $50 \,Js ^{-1} m ^{-1} K ^{-1}$. If the copper end is held at $100^{\circ} C$ and the steel end is held at $0^{\circ} C$, the junction temperature is ........... $C$ (Assuming no other heat losses)
    View Solution
  • 7
    A body cools in a surrounding which is at a constant temperature of ${\theta _0}$. Assume that it obeys Newton's law of cooling. Its temperature $\theta $ is plotted against time $t$ . Tangents are drawn to the curve at the points $P(\theta = {\theta _1})$ and $Q(\theta = {\theta _2})$. These tangents meet the time axis at angles of ${\varphi _2}$and ${\varphi _1}$, as shown
    View Solution
  • 8
    Four rods of same material and having the same cross section and length have been joined, as shown. The temperature of the junction of four rods will be ............... $^{\circ} C$
    View Solution
  • 9
    A body takes $5$ minute to cool from $80°C$ to $50°C$ .  ...... $\min.$ it will take to cool from $60°C$ to $30°C$ , if room temperature is $20°C$ .
    View Solution
  • 10
    Two metallic spheres ${S_1}$ and ${S_2}$are made of the same material and have identical surface finish. The mass of ${S_1}$ is three times that of ${S_2}$. Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of ${S_1}$ to that of ${S_2}$ is
    View Solution