Poll Results
No votes. Be the first one to vote.
Two identical rods are connected between two containers. One of them is at 100°C and another is at 0° C. If rods are connected in parallel then the rate of melting of ice is q₁g/sec. If they are connected in series then the rate is q₂. The ratio q₂/q₁ is
A ratio is a mathematical relationship between two numbers that shows how many times the first number contains the second. It is expressed in the form of “a to b” or a:b. Ratios are used to compare quantities, such as speed, density or concentration, in various fields.
Chapter 10 of Class 11 Physics explains thermal properties of matter. It covers concepts like temperature and heat and thermal expansion and specific heat capacity and calorimetry. The chapter also discusses heat transfer methods such as conduction and convection and radiation. It further covers laws of thermodynamics and ideal gas laws.
Share
When two rods are connected in parallel, both rods contribute equally to the heat transfer, which results in a higher overall rate of heat transfer (hence, higher melting rate of ice).
When two rods are connected in series, the heat has to pass through both rods sequentially. This effectively reduces the rate of heat transfer compared to the parallel arrangement. The heat flow through the system will be limited by the rod with the lower heat transfer rate, reducing the overall rate of melting.
The rate of heat transfer is inversely proportional to the total resistance (or thermal resistance) in the system. The effective resistance is lower than that in the series case; thus, there will be a greater rate of heat transfer in the parallel case.
The ratio of the rates of melting q₂/q₁, when connected in series to parallel, is thus 1/2.
Click here:
https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/