Home
Class 12
PHYSICS
Figure show two reservoirs containing tw...

Figure show two reservoirs containing two liquids of masses `4m` and `2m` and their specific heat capacities are `S` and `2S` respectively. Their initial temperatures are `4T_(0)` and `T_(0)` respectively. The containers are joined by a conducting `K`, length `l` and cross section area `A` specific heat capacity of the rod is negligible.

A

The temperature of mid-point `'P'` of the rod is always constant.

B

Heat extracted from container `1=` Heat supplied to container 2

C

After time `t_(0)=(2msl)/(ka)In2` the temperature difference between containers becomes half of the initial temperature difference.

D

After time `t_(0)=(msl)/(ka)In2` the temperature difference between containers becomes half of the initial temperature difference.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`dQ=(4m)s(-dT_(1))=(2m)(2s)dT_(2)`
On solving we get `/_\T_(f)=/_\T_(i)e^((-KAt)/(2msl))`
Temperature of point `P` remains constant
Promotional Banner

Similar Questions

Explore conceptually related problems

Three liquids with masses m_1 , m_2 , m_3 are throughly mixed. If their specific heats are c_1 , c_2 , c_3 and their temperature T_1 , T_2 , T_3 , respectively, then the temperature of the mixture is

All the rods have same conductance 'K' and same area of cross section ' A' . If ends A and C are maintained at temperature 2T_(0) and T_(0) respectively then which of the following is // are correct?

Two liquids A and B have specific heat capacities 2.5 Jg^(-1)""^(@)C and 3.2 Jg^(-1)""^(@)C respectively. Which liquid is a good conductor of heat? Why?

Two liquids A and B have specific heat capacities 2.5 Jg^(-1) ""^(@)C and 3.2 Jg^(-1) ""^(@)C respectively. Which liquid is more suitable as a liquid in radiators for cooling?

Equal volumes of three liquids of densities rho_1 , rho_2 and rho_3 , specific heat capacities c_1,c_2 and c_3 and temperatures t_1,t_2 and t_3 , respectively are mixed together. What is the temperature of the mixture? Assume no changes in volume on mixing.

Five rods of same material and same cross-section are joined as shown. Lengths of rods ab, ad and bc are l, 2l and 3l respectively. Ends a and c are maintained at temperatures 200^(@)C and 0^(@)C respectivelly. For what length x of rod dc there will be no heat flow through rod bd ?

Four identical rods AB, CD, CF and DE are joined as shown in figure. The length, cross-sectional area and thermal conductivity of each rod are l, A and K respectively. The ends A, E and F are maintained at temperature T_(1) , T_(2) and T_(3) respectively. Assuming no loss of heat to the atmosphere, find the temperature at B .

As shown in Fig. AB is rod of length 30 cm and area of cross section 1.0 cm^2 and thermal conductivity 336 SI units. The ends A and B are maintained at temperatures 20^@C and 40^@C , respectively .A point C of this rod is connected to a box D, containing ice at 0^@C through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is (assume latent heat of fusion for ice L_f=80 cal//g )

As shown in Fig. AB is rod of length 30 cm and area of cross section 1.0 cm^2 and thermal conductivity 336 SI units. The ends A and B are maintained at temperatures 20^@C and 40^@C , respectively .A point C of this rod is connected to a box D, containing ice at 0^@C through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is (assume latent heat of fusion for ice L_f=80 cal//g )

Two liquids at temperature 60^@ C and 20^@ C respectively have masses in the ratio 3:4 their specific heat in the ratio 4:5 . If the two liquids are mixed, the resultant temperature is.