Two circular discs A and B with equal radii a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) According to Newton's law of cooling,the rate of cooling is given by $\frac{d	heta}{dt} = \frac{e \sigma A_{surf}}{ms} (	heta^4 - 	heta_0^4)$.F

Vedclass · Accepted Answer

Specific heat of $A$ is less.

Vedclass · Answer

(B) According to Newton's law of cooling,the rate of cooling is given by $\frac{d	heta}{dt} = \frac{e \sigma A_{surf}}{ms} (	heta^4 - 	heta_0^4)$.For small temperature differences,this simplifies to $\frac{d	heta}{dt} \propto \frac{1}{ms}(	heta - 	heta_0)$.Since the discs have equal mass $m$,equal surface area $A_{surf}$,and are under identical conditions,the rate of cooling $\frac{d	heta}{dt}$ is inversely proportional to the specific heat $s$ for a given temperature difference $(	heta - 	heta_0)$.From the graph,the slope of the line represents $\frac{d	heta/dt}{	heta - 	heta_0} \propto \frac{1}{s}$.Since the slope of line $A$ is greater than the slope of line $B$,the specific heat of $A$ must be less than the specific heat of $B$.

Two circular discs $A$ and $B$ with equal radii and equal mass are blackened. They are heated to the same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?

Similar Questions

Hot water cools from $60\,^{\circ}C$ to $50\,^{\circ}C$ in the first $10\, min$ and to $42\,^{\circ}C$ in the next $10\, min$. The temperature of the surrounding is ........ $^{\circ}C$.

$A$ container is filled with a liquid that cools from $100^{\circ}C$ to $70^{\circ}C$ in $5 \text{ min}$, when kept at a room temperature of $30^{\circ}C$. The time that it must have taken to cool down to $80^{\circ}C$ from its initial temperature is approximately: (in $\text{ min}$)

$A$ cup of tea cools from $65.5^{\circ} C$ to $62.5^{\circ} C$ in one minute in a room at $22.5^{\circ} C$. How long will it take to cool from $46.5^{\circ} C$ to $40.5^{\circ} C$ in the same room?

$A$ bucket full of water cools from $75^{\circ}C$ to $70^{\circ}C$ in time $T_1$,from $70^{\circ}C$ to $65^{\circ}C$ in time $T_2$,and from $65^{\circ}C$ to $60^{\circ}C$ in time $T_3$. Which of the following is correct?

Two spheres have a radius ratio of $1:2$ and a density ratio of $2:1$. They have the same specific heat. If they are heated to the same temperature and placed in the same environment,what is the ratio of their rate of cooling?

Vedclass Test Series

Exam Paper Generator

Online Exam Module