One end of a copper rod of length $1.0\;m$ and area of cross-section ${10^{ - 3}}$ is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is $92\;cal/m{\rm{ - }}s{{\rm{ - }}^o}C$ and the latent heat of ice is $8 \times {10^4}cal/kg$, then the amount of ice which will melt in one minute is
A$9.2 \times {10^{ - 3}}kg$
B$8 \times {10^{ - 3}}kg$
C$6.9 \times {10^{ - 3}}kg$
D$5.4 \times {10^{ - 3}}kg$
Medium
Download our app for free and get started
C$6.9 \times {10^{ - 3}}kg$
c (c) Heat transferred in one minute is utilised in melting the ice
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.*
Two identical square rods of metal are welded end to end as shown in figure $(a)$. Assume that $10\, cal$ of heat flows through the rods in $2\, min$. Now the rods are welded as shown in figure, $(b)$. The time it would take for $10$ cal to flow through the rods now, is ........ $\min$
In an experment ot verify Newton's law of cooling, a graph is plotted between, the temperature difference $(\Delta T )$ of the water and surroundings and time as shown in figure. The initial temperature of water is taken as $80^{\circ} \,C$. The value of $t _{2}$ as mentioned in the graph will be...........
Two spheres of same material have radius $1m$ and $4 m$ and temperature $4000K$ and $2000K$ respectively. The energy radiated per second by the first sphere is
A body takes $4\, {min}$. to cool from $61^{\circ} {C}$ to $59^{\circ} {C}$. If the temperature of the surroundings is $30^{\circ} {C}$, the time taken by the body to cool from $51^{\circ} {C}$ to $49^{\circ} {C}$ is $....\,min$
Hot water cools from ${60^o}C$ to ${50^o}C$ in the first $10$ minutes and to ${42^o}C$ in the next $10$ minutes. The temperature of the surrounding is ......... $^oC$
Three conducting rods of same material and cross section are shown in figure. Temperature at $A,D$ and $C$ are maintained at $20\ ^oC, 90\ ^oC$ and $0\ ^oC$. The ratio of lengths of $BD$ and $BC$ if there is no heat. Flows in $AB$ is
A thin square steel plate with each side equal to $10$ cm is heated by a blacksmith. The rate of radiated energy by the heated plate is $1134 W$ . The temperature of the hot steel plate is ....... $K$ (Stefan's constant $\sigma = 5.67 \times {10^{ - 8}}watt\;{m^{ - 2}}{K^{ - 4}}$, emissivity of the plate = $1$ )
A solid sphere and a hollow sphere of the same material and size are heated to the same temperature and allowed to cool in the same surroundings. If the temperature difference between each sphere and its surroundings is $T$, then