Home
Class 11
PHYSICS
Four cylindrical rods of same material w...

Four cylindrical rods of same material with length and radius (l,r),(2l,r),(l/2,r) and (l,2r) are connected between two reservoirs at `0^@C` and `100^@C`. Find the ratio of the maximum to minimum rate of conduction in them.

Text Solution

AI Generated Solution

To solve the problem of finding the ratio of the maximum to minimum rate of conduction through four cylindrical rods of the same material, we will use the formula for heat conduction. The rate of heat conduction (dQ/dt) through a cylindrical rod is given by: \[ \frac{dQ}{dt} = \frac{k \cdot A \cdot \Delta T}{L} \] Where: - \( k \) is the thermal conductivity (constant for the same material), ...
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|13 Videos

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Comprehension|30 Videos

  • BASIC MATHEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.6|20 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Four rods with different radii r and length l are used to connect two reservoirs of heat at different temperatures. Which one will conduct most heat ?

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental nodes, the one of length L with freuqency v_(1) and the other with frequency v_(2) . the ratio v_(1)//v_(2) is given by

One end of a horizontal thick copper wire of length 2L and radius 2R is weded to an end of another horizontal thin copper wire of length L and radius R .When the arrangement is stretched by applying forces at two ends , the ratio of the elongation in the thin wire to that in the thick wire is

One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end fo another horizontal thin copper wire of lenth L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

Two rods, one of aluminium and other made of steel, having initial lengths l_(1) and l_(2) are connected together to form a single rod of length (l_(1)+l_(2)) . The coefficient of linear expansions for aluminium and steel are alpha_(a) and alpha_(s) respectively. If length of each rod increases by same amount when their tempertures are raised by t^(@)C , then find the ratio l_(1) (l_(1)+l_(2)) .

Two wires A and B are made of same material. The wire A has a length l and diameter r while the wire B has a length 2l and diameter r/2. If the two wires are stretched by the same force the elongation in A divided by the elongation in B is

A force F is required to break a wire of length L and radius r. Find the force required to break a wire of the same material, length 2L and radius 4r.

Two capillary of length L and 2L and of radius R and 2R are connected in series. The net rate of flow of fluid through them will be (given rate to the flow through single capillary, ("X"=(pi"PR"^(4))/(8eta"L"))

Two copper wire of length l and 2l have radii, r and 2r respectively. What si the ratio of their specific resistance.?

The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I . What is the ratio l//R such that the moment of inertia is minimum ?