Physics-
General
Easy

Question

Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities K1, K2, K3, K4 and K5. When points A and B are maintained at different temperatures, no heat flows through the central rod if

  1. K subscript 1 end subscript equals K subscript 4 end subscript text and end text   K subscript 2 end subscript equals K subscript 3 end subscript    
  2. K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript    
  3. K subscript 1 end subscript K subscript 2 end subscript equals K subscript 3 end subscript K subscript 4 end subscript    
  4. fraction numerator K subscript 1 end subscript over denominator K subscript 4 end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 3 end subscript end fraction    

The correct answer is: K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript


    For no current flow between C and D
    open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript A C end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript C B end subscriptÞ fraction numerator K subscript 1 end subscript A left parenthesis theta subscript A end subscript minus theta subscript C end subscript right parenthesis over denominator l end fraction equals fraction numerator K subscript 2 end subscript A left parenthesis theta subscript C end subscript minus theta subscript B end subscript right parenthesis over denominator l end fraction
    Þ fraction numerator theta subscript A end subscript minus theta subscript C end subscript over denominator theta subscript C end subscript minus theta subscript B end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction...(i)
    Also open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript A D end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript D B end subscriptÞfraction numerator K subscript 3 end subscript A left parenthesis theta subscript A end subscript minus theta subscript D end subscript right parenthesis over denominator l end fraction equals fraction numerator K subscript 4 end subscript A left parenthesis theta subscript D end subscript minus theta subscript B end subscript right parenthesis over denominator l end fraction
    Þfraction numerator theta subscript A end subscript minus theta subscript D end subscript over denominator theta subscript D end subscript minus theta subscript B end subscript end fraction equals fraction numerator K subscript 4 end subscript over denominator K subscript 3 end subscript end fraction ...(ii)
    It is given that theta subscript C end subscript equals theta subscript D end subscript comma hence from equation (i) and (ii) we get fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction equals fraction numerator K subscript 4 end subscript over denominator K subscript 3 end subscript end fraction Þ K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript

    Related Questions to study

    General
    Physics-

    Three rods of same dimensions are arranged as shown in figure they have thermal conductivities K subscript 1 end subscript comma K subscript 2 end subscript andK subscript 3 end subscript The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ and PQ then which of the following option is correct

    Three rods of same dimensions are arranged as shown in figure they have thermal conductivities K subscript 1 end subscript comma K subscript 2 end subscript andK subscript 3 end subscript The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ and PQ then which of the following option is correct

    Physics-General
    General
    Physics-

    Three rods of the same dimension have thermal conductivities 3K, 2K and K. They are arranged as shown in fig. Given below, with their ends at 100oC, 50oC and 20oC. The temperature of their junction is

    Three rods of the same dimension have thermal conductivities 3K, 2K and K. They are arranged as shown in fig. Given below, with their ends at 100oC, 50oC and 20oC. The temperature of their junction is

    Physics-General
    General
    Physics-

    The only possibility of heat flow in a thermos flask is through its cork which is 75 cm2 in area and 5 cm thick. Its thermal conductivity is 0.0075 cal/cmsecoC. The outside temperature is 40oC and latent heat of ice is 80 cal g–1. Time taken by 500 g of ice at 0oC in the flask to melt into water at 0oC is

    The only possibility of heat flow in a thermos flask is through its cork which is 75 cm2 in area and 5 cm thick. Its thermal conductivity is 0.0075 cal/cmsecoC. The outside temperature is 40oC and latent heat of ice is 80 cal g–1. Time taken by 500 g of ice at 0oC in the flask to melt into water at 0oC is

    Physics-General
    parallel
    General
    Physics-

    A composite metal bar of uniform section is made up of length 25 cm of copper, 10 cm of nickel and 15 cm of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at 10 0 to the power of o end exponent C and the aluminium end at 0 to the power of o end exponent C. The whole rod is covered with belt so that there is no heat loss occurs at the sides. If K subscript text Cu end text end subscript equals 2 K subscript A l end subscript and K subscript A l end subscript equals 3 K subscript text Ni end text end subscript, then what will be the temperatures of C u minus N i and N i minus A l junctions respectively

    A composite metal bar of uniform section is made up of length 25 cm of copper, 10 cm of nickel and 15 cm of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at 10 0 to the power of o end exponent C and the aluminium end at 0 to the power of o end exponent C. The whole rod is covered with belt so that there is no heat loss occurs at the sides. If K subscript text Cu end text end subscript equals 2 K subscript A l end subscript and K subscript A l end subscript equals 3 K subscript text Ni end text end subscript, then what will be the temperatures of C u minus N i and N i minus A l junctions respectively

    Physics-General
    General
    Physics-

    Three rods made of the same material and having the same cross section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0 to the power of o end exponent C and 9 0 to the power of o end exponent C respectively. The temperature of the junction of the three rods will be

    Three rods made of the same material and having the same cross section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0 to the power of o end exponent C and 9 0 to the power of o end exponent C respectively. The temperature of the junction of the three rods will be

    Physics-General
    General
    Physics-

    A wall is made up of two layers A and B. The thickness of the two layers is the same, but materials are different. The thermal conductivity of A is double than that of B. In thermal equilibrium the temperature difference between the two ends is 3 6 to the power of o end exponent C. Then the difference of temperature at the two surfaces of A will be

    A wall is made up of two layers A and B. The thickness of the two layers is the same, but materials are different. The thermal conductivity of A is double than that of B. In thermal equilibrium the temperature difference between the two ends is 3 6 to the power of o end exponent C. Then the difference of temperature at the two surfaces of A will be

    Physics-General
    parallel
    General
    Physics-

    Newton’s law of cooling, holds good only if the temperature difference between the body and the surroundings is

    Newton’s law of cooling, holds good only if the temperature difference between the body and the surroundings is

    Physics-General
    General
    Physics-

    The temperature of a liquid drops from 365 K to 361 K in 2 minutes. Find the time during which temperature of the liquid drops from 344   K to 342 rightwards arrow over short leftwards arrow K. Temperature of room is 293   K

    The temperature of a liquid drops from 365 K to 361 K in 2 minutes. Find the time during which temperature of the liquid drops from 344   K to 342 rightwards arrow over short leftwards arrow K. Temperature of room is 293   K

    Physics-General
    General
    Physics-

    The ratio of radiant energies radiated per unit surface area by two bodies is 16 : 1, the temperature of hotter body is 1000K, then the temperature of colder body will be

    The ratio of radiant energies radiated per unit surface area by two bodies is 16 : 1, the temperature of hotter body is 1000K, then the temperature of colder body will be

    Physics-General
    parallel
    General
    Physics-

    Two identical objects A and B are at temperatures TA and TB respectively. Both objects are placed in a room with perfectly absorbing walls maintained at temperatures T left parenthesis T subscript A end subscript greater than T greater than T subscript B end subscript right parenthesis. The objects A and B attain temperature T eventually which one of the following is correct statement

    Two identical objects A and B are at temperatures TA and TB respectively. Both objects are placed in a room with perfectly absorbing walls maintained at temperatures T left parenthesis T subscript A end subscript greater than T greater than T subscript B end subscript right parenthesis. The objects A and B attain temperature T eventually which one of the following is correct statement

    Physics-General
    General
    Physics-

    An open knife edge of mass 'm' is dropped from a height 'h' on a wooden floor. If the blade penetrates upto the depth 'd' into the wood, the average resistance offered by the wood to the knife edge is

    An open knife edge of mass 'm' is dropped from a height 'h' on a wooden floor. If the blade penetrates upto the depth 'd' into the wood, the average resistance offered by the wood to the knife edge is

    Physics-General
    General
    Physics-

    If W subscript 1 end subscript comma W subscript 2 end subscript and W subscript 3 end subscript represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W subscript 1 end subscript comma W subscript 2 end subscript and W subscript 3 end subscript

    If W subscript 1 end subscript comma W subscript 2 end subscript and W subscript 3 end subscript represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W subscript 1 end subscript comma W subscript 2 end subscript and W subscript 3 end subscript

    Physics-General
    parallel
    General
    Physics-

    A ball hits the floor and rebounds after inelastic collision. In this case

    A ball hits the floor and rebounds after inelastic collision. In this case

    Physics-General
    General
    Physics-

    A ball is attached to a horizontal cord of length L whose other end is fixed a peg is located at a distance h (= 4L/5) directly below the point of attachment of the cord. What will be the speed of the ball when it reaches the top of its circular path about the peg?

    A ball is attached to a horizontal cord of length L whose other end is fixed a peg is located at a distance h (= 4L/5) directly below the point of attachment of the cord. What will be the speed of the ball when it reaches the top of its circular path about the peg?

    Physics-General
    General
    Physics-

    An engine approaches a hill with a constant speed. When it is at a distance of 0.9 km it blows a whistle, whose echo is heard by the driver after 5 sec. If speed of sound in air is 330 m/s, the speed of engine is

    An engine approaches a hill with a constant speed. When it is at a distance of 0.9 km it blows a whistle, whose echo is heard by the driver after 5 sec. If speed of sound in air is 330 m/s, the speed of engine is

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.