There are two spherical balls $A$ and $B$ of the same material with same surface, but the diameter of $A$ is half that of $B$. If $A$ and $B$ are heated to the same temperature and then allowed to cool, then
  • A
    Rate of cooling is same in both
  • BRate of cooling of $A$ is four times that of $B$
  • CRate of cooling of $A$ is twice that of $B$
  • DRate of cooling of $A$ is $\frac{1}{4}$ times that of $B$
Medium
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 rod of length $L$ with sides fully insulated is of a material whose thermal conductivity varies with $\alpha$ temperature as $ K= \frac{\alpha }{T}$, where $\alpha$ is a constant. The ends of the rod are kept at temperature $T_1$ and $T_2$. The temperature $T$ at $x,$ where $x$ is the distance from the end whose temperature is $T_1$ is 
    View Solution
  • 2
    Two rectangular blocks $A$ and $B$ of different metals have same length and same area of cross-section. They are kept in such a way that their cross-sectional area touch each other. The temperature at one end of $A$ is $100°C$ and that of $B$ at the other end is $0°C$ . If the ratio of their thermal conductivity is $1 : 3$ , then under steady state, the temperature of the junction in contact will be ........ $^oC$
    View Solution
  • 3
    A rod of length $L$ and uniform cross-sectional area has varying thermal conductivity which changes linearly from $2K$ at endAto $K$ at the other end $B$. The endsA and $B$ of the rod are maintained at constant temperature $100^o C$ and $0^o C$, respectively. At steady state, the graph of temperature : $T = T(x)$ where $x =$ distance from end $A$ will be
    View Solution
  • 4
    If temperature of $Sun =6000\, K ,$ radius of Sun is $7.2 \times 10^{5}\, Km$ radius of Earth $=6000 \,Km \&$ distance between earth and $Sum =15 \times 10^{7}\, Km .$ Find intensity of light on Earth.
    View Solution
  • 5
    Two walls of thicknesses $d_1$ and $d_2$ and thermal conductivities $k_1$ and $k_2$ are in contact. In the steady state, if the temperatures at the outer surfaces are ${T_1}$ and ${T_2}$, the temperature at the common wall is
    View Solution
  • 6
    The following figure shows two air-filled bulbs connected by a $ U-$ tube partly filled with alcohol. What happens to the levels of alcohol in the limbs $X$ and $Y$ when an electric bulb placed midway between the bulbs is lighted
    View Solution
  • 7
    A sphere of ice at $0^o C$ having initial radius $R$ is placed in an environment having ambient temperature $> 0^o C$. The ice melts uniformly, such that shape remains spherical. After a time $‘t’$ the radius of the sphere has reduced to$r$. Assuming the rate of heat absorption is proportional to the surface area of the sphere at any moment, which graph best depicts $r (t)$.
    View Solution
  • 8
    A black coloured solid sphere of radius $R$ and mass $M$ is inside a cavity with vacuum inside. The walls of the cavity are maintained at temperature $T_0$. The initial temperature of the sphere is $3T_0$. If the specific heat of the material of the sphere varies as $\alpha T^3$ per unit mass with the temperature $T$ of the sphere, where $\alpha $ is a constant, then the time taken for the sphere to cool down to temperature $2T_0$ will be ( $\sigma $ is Stefan Boltzmann constant)
    View Solution
  • 9
    If temperature of sun is decreased by $1 \%$ then the value of solar constant will change by ........... $\%$
    View Solution
  • 10
    A certain stellar body has radius $50 \,R_{s}$ and temperature $2 \,T_{s}$ and is at a distance of $2 \times 10^{10} \,AU$ from the earth. Here, $AU$ refers to the earth-sun distance and $R_{s}$ and $T_{s}$ refer to the sun's radius and temperature, respectively. Take, both star and sun to be ideal black bodies. The ratio of the power received on earth from the stellar body as compared to that received from the sun is close to
    View Solution