Two identical conducting rods are first connected independently to two vessels, one containing water at `100^@C` and the other containing ice at `0^@C`. In the second case, the rods are joined end to end and connected to the same vessels. Let `q_1 and q_2` gram per second be the rate of melting of ice in the two cases respectively. The ratio `q_1/q_2` is (a) `1/2` (b)`2/1` (c)`4/1` (d)`1/4`A. `1/2`B. `2/1`C. `4/1`D. `1/4`

Two identical conducting rods are first connected independently to two

1.	Two identical conducting rods are first connected independently to two vessels, one containing water at `100^@C` and the other containing ice at `0^@C`. In the second case, the rods are joined end to end and connected to the same vessels. Let `q_1 and q_2` gram per second be the rate of melting of ice in the two cases respectively. The ratio `q_1/q_2` is (a) `1/2` (b)`2/1` (c)`4/1` (d)`1/4`A. `1/2`B. `2/1`C. `4/1`D. `1/4`
Answer» Correct Answer - C<br>Initially the rods are placed in vessels as shown below<br> <br> `(Q)/(t) = ((theta_(1)-theta_(2)))/(R) rArr (Q/t)_(1) = (mL)/(t) = q_(1)L=((100-0))/((R)/(2))` ..(i)<br> Finally when rods are joined end to as shown<br> <br> `rArr (Q/t)_(2) = (mL)/(t) = q_(2)L = ((100-0))/(2R)` ..(ii)<br> Form equation (i) and (ii) , `(q_1)/(q_2) = 4/1`.

Discussion

No Comment Found

Related InterviewSolutions

An ice cube of mass 0.1 kg at `0^@C` is placed in an isolated container which is at `227^@C`. The specific heat s of the container varies with temperature T according to the empirical relation `s=A+BT`, where `A= 100 cal//kg.K and B = 2xx 10^-2 cal//kg.K^2`. If the final temperature of the container is `27^@C`, determine the mass of the container. (Latent heat of fusion for water = `8xx 10^4 cal//kg`, specific heat of water `=10^3 cal//kg.K`).A. `0.495 kg`B. `0.595 kg`C. `0.695 kg`D. `0.795 kg`
Which of the following circular rods (given radius `r` and length `l`) each made of the same material and whose ends are maintained at the same temperature will conduct most heat?A. `r = 2r_(0), l = 2l_(0)`B. `r = 2r_(0), l = l_(0)`C. `r = r_(0), l = l_(0)`D. `r = r_(0), l = 2l_(0)`
An ice cube of mass 0.1 kg at `0^@C` is placed in an isolated container which is at `227^@C`. The specific heat s of the container varies with temperature T according to the empirical relation `s=A+BT`, where `A= 100 cal//kg.K and B = 2xx 10^-2 cal//kg.K^2`. If the final temperature of the container is `27^@C`, determine the mass of the container. (Latent heat of fusion for water = `8xx 10^4 cal//kg`, specific heat of water `=10^3 cal//kg.K`).A. `0.495 kg`B. `0.224 kg`C. `0.336 kg`D. `0.621 kg`
Two identical conducting rods are first connected independently to two vessels, one containing water at `100^@C` and the other containing ice at `0^@C`. In the second case, the rods are joined end to end and connected to the same vessels. Let `q_1 and q_2` gram per second be the rate of melting of ice in the two cases respectively. The ratio `q_1/q_2` is (a) `1/2` (b)`2/1` (c)`4/1` (d)`1/4`A. `1/2`B. `2/1`C. `4/1`D. `1/4`
A cylinder of radius R made of a material of thermal conductivity `K_1` is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity `K_2`. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system isA. `K_(1) + K_(2)`B. `(K_(1) + 3K_(2))/(4)`C. `(K_(1) K_(2))/(K_(1) + K_(2))`D. `(3K_(1) + K_(2))/(4)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment