A rod CD of thermal resistance $10.0 \mathrm{KW}^{-1}$ is joined at the middle of an identical rod $A B$ as shown in figure, The end $A, B$ and $D$ are maintained at $200^{\circ} \mathrm{C}, 100^{\circ} \mathrm{C}$ and $125^{\circ} \mathrm{C}$ respectively. The heat current in CD is $\mathrm{P}$ watt. The value of $\mathrm{P}$ is .......
Rods are identical so
$R_{A B}=R_{C D}=10 \mathrm{Kw}^{-1}$
$C$ is mid-point of $A B$, so
$\mathrm{R}_{\mathrm{AC}}=\mathrm{R}_{\mathrm{CB}}=5 \mathrm{Kw}^{-1}$
at point $\mathrm{C}$
$\frac{200-\mathrm{T}}{5}=\frac{\mathrm{T}-125}{10}+\frac{\mathrm{T}-100}{5}$
$2(200-T)=T-125+2(T-100)$
$400-2 T=T-125+2 T-200$
$\mathrm{T}=\frac{725}{5}=145^{\circ} \mathrm{C}$
$\mathrm{I}_{\mathrm{h}}=\frac{145-125}{10} \mathrm{w}=\frac{20}{10} \mathrm{w}$
$\mathrm{I}_{\mathrm{h}}=2 \mathrm{~W}$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,