Two identical containers of same emissivity containing liquids `A` & `B` at same temperature of `60^(@)` initially and densitiy `rhoA` and `rhoB` respectively. Where `rhoA` lt `rhoB`. Which plot best represents the temperature varitation of both with time? Given `(S_(A) = 1000(J)/(kg - K), S_(B) = 2000(J)/(kg- K))`

Two metallic spheres S_1 and S_2 are made of the same material and have got identical surface finish. The mass of S_1 is thrice that of S_2 . Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. the ratio of the initial rate of cooling of S_1 to that of S_2 is (a)1/3 (b)1/(sqrt3) (c) (sqrt3)/1 (d) (1/3)^(1/3)

The system shown in the figure is in equilibrium, where A and B are isomeric liquids and form an ideal solution at TK . Standard vapour pressures of A and B are P_(A)^(0) and P_(B)^(0) , respectively, at TK . We collect the vapour of A and B in two containers of volume V , first container is maintained at 2 T K and second container is maintained at 3T//2 . At the temperature greater than T K , both A and B exist in only gaseous form. We assume than collected gases behave ideally at 2 T K and there may take place an isomerisation reaction in which A gets converted into B by first-order kinetics reaction given as: Aoverset(k)rarrB , where k is a rate constant. In container ( II ) at the given temperature 3T//2 , A and B are ideal in nature and non reacting in nature. A small pin hole is made into container. We can determine the initial rate of effusion of both gases in vacuum by the expression r=K.(P)/(sqrt(M_(0))) where P= pressure differences between system and surrounding K= positive constant M_(0)= molecular weight of the gas If vapours are collected in a container of volume 8.21 L maintained at 3 T//2K , where T=50 K , then the ratio of initial rate of effusion of gases A and B is given as

Two closed Identical conducting containers are found in the laboratory of an old scientist. For the verification of the gas some experiments are performed on the two boxes and the results are noted. Experiment 1 When the two containers are weighed W_(A) = 225g , W_(B) = 160g and mass of evacuated container W_(C) = 100g . Experiment 2. when the two containers are given same amount of heat same temperature rise is recorded . The pressure change found are DeltaP_(A) = 2.5"atm" . " " DeltaP_(B) = 1.5"atm" Identify the type of gas filled in container A and B respectively

Figure shows a large tank of water at a constant temperature theta_(0) and a small vessel containing a mass m of water at an initial temperature theta_1 (lt theta_(0)) . A metal rod of length L , area of cross section A and thermal conductivity K connects the two vessels. Find the time taken for the temperature of the water in the smaller vessel to become theta_(2) (theta_(1)lt theta_(2)lt theta_(0)) . Specific heat capacity of water is s and all other heat capacities are negligible.

The system shown in the figure is in equilibrium, where A and B are isomeric liquids and form an ideal solution at TK . Standard vapour pressures of A and B are P_(A)^(0) and P_(B)^(0) , respectively, at TK . We collect the vapour of A and B in two containers of volume V , first container is maintained at 2 T K and second container is maintained at 3T//2 . At the temperature greater than T K , both A and B exist in only gaseous form. We assume than collected gases behave ideally at 2 T K and there may take place an isomerisation reaction in which A gets converted into B by first-order kinetics reaction given as: Aoverset(k)rarrB , where k is a rate constant. In container ( II ) at the given temperature 3T//2 , A and B are ideal in nature and non reacting in nature. A small pin hole is made into container. We can determine the initial rate of effusion of both gases in vacuum by the expression r=K.(P)/(sqrt(M_(0))) where P= pressure differences between system and surrounding K= positive constant M_(0)= molecular weight of the gas Vapours of A and B are passed into a container of volume 8.21 L , maintained at 2T K , where T=50 K and after 5 min , moles of B=8//3 . The pressure developed into the cotainer after two half lives is

A situation is shown in which two objects A and B start their motion from same point in same direction. The graph of their velocities against time is drawn. u_A and u_B are the initial velocities of A and B respectively. T is the time at which their velocities become equal after start of motion. You cannot use the data of one question while solving another question of the same set. So all the questions are independent of each other. 7. After 10 s of the start of motion of both objects A and B, find the value of velocity of A if u_A = 6 ms^-1 , u_B = 12 ms^-1 and at T velocity of A is 8 ms^-1 and T = 4s

An adiabatic vessel of total volume V is divided into two equal parts by a conducting separator. The separator is fixed in this position. The part on the left contains one mole of an ideal gas (U=1.5 nRT) and the part on the right contains two moles of the same gas. initially, the pressure on each side is p. the system is left for sufficient time so that a steady state is reached. find (a) the work done by the gas in the left part during the process, (b) the temperature on the two sides in the beginning, (c ) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

A calorimeter of mass 0.2 kg and specific heat 900 J//kg-K . Containing 0.5 kg of a liquid of specific heat 2400 J//kg-K . Its temperature falls from 60^(@)C to 55^(@)C in one minute. Find the rate of cooling.

A 0.60 kg sample of water and a sample of ice are placed in two compartmetnts A and B separated by a conducting wall, in a thermally insulated container. The rate of heat transfer from the water to the ice through the conducting wall is constant P, until thermal equilibrium is reached. The temperature T of the liquid water and the ice are given in graph as functions of time t. Temperature of the compartments remain homogeneous during whole heat transfer process. Given specific heat of ice =2100 J//kg-K , specific heat of water =4200 J//kg-K , and latent heat of fusion of ice =3.3xx10^5 J//kg . Initial mass of the ice in the container equal to

A 0.60 kg sample of water and a sample of ice are placed in two compartmetnts A and B separated by a conducting wall, in a thermally insulated container. The rate of heat transfer from the water to the ice through the conducting wall is constant P, until thermal equilibrium is reached. The temperature T of the liquid water and the ice are given in graph as functions of time t. Temperature of the compartments remain homogeneous during whole heat transfer process. Given specific heat of ice =2100 J//kg-K , specific heat of water =4200 J//kg-K , and latent heat of fusion of ice =3.3xx10^5 J//kg . Initial mass of the ice in the container equal to