If the temperature of a hot body is increased by $50\%$ then the increase in the quantity of emitted heat radiation will be ..... $\%$
Medium
Download our app for free and get started
(d) $Q \propto {T^4}$
==> $\frac{{{Q_1}}}{{{Q_2}}} = {\left( {\frac{{{T_1}}}{{{T_2}}}} \right)^4}$
==> $\frac{{{Q_1}}}{{{Q_2}}} = {\left( {\frac{T}{{T + T/2}}} \right)^4} = \frac{{16}}{{81}}$
==> ${Q_2} = \frac{{81}}{{16}}{Q_1}$
% increase in energy $ = \frac{{{Q_2} - {Q_1}}}{{{Q_1}}} \times 100 = 400\% $
Download our appand 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
- 1View SolutionAccording to ‘Newton’s Law of cooling’, the rate of cooling of a body is proportional to the
- 2Two rods $A$ and $B$ of same cross-sectional are $A$ and length $l$ connected in series between a source $(T_1 = 100^o C)$ and a sink $(T_2 = 0^o C)$ as shown in figure. The rod is laterally insulated If $G_A$ and $G_B$ are the temperature gradients across the rod $A$ and $B$, thenView Solution
- 3$ABCDE$ is a regular pentagon of uniform wire. The rate of heat entering at $A$ and leaving at $C$ is equal. $T_B$ and $T_D$ are temperature of $B$ and $D$ . Find the temperature $T_C$View Solution
- 4View SolutionNewton's law of cooling is used in laboratory for the determination of the
- 5View SolutionIn steady state graph between temp and distance from hot end is
- 6Three stars $A, B, C$ have surface temperatures $T _{A} ,T _{B}, T _{C}$ respectively. Star $A$ appears bluish, star $B$ appears reddish and star $C$ yellowish. Hence,View Solution
- 7Two different rods $A$ and $B$ are kept as shown in figure. The ratio of thermal conductivities of $A$ and $B$ isView Solution
- 8View SolutionAs compared to the person with white skin, the person with black skin will experience
- 9The maximum energy in the thermal radiation from a hot source occurs at a wavelength of $11 \times {10^{ - 5}}cm$. According to Wein's law, the temperature of the source (on Kelvin scale) will be $n$ times the temperature of another source (on Kelvin scale) for which the wavelength at maximum energy is $5.5 \times {10^{ - 5}}cm$. The value $n$ isView Solution
- 10If two metallic plates of equal thicknesses and thermal conductivities ${K_1}$ and ${K_2}$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will beView Solution
