NEET 2026
- Exam
- NEET
- Year
- 2026
- Subject
- Physics
- Chapter
- Chapter
NEET 2026 · Physics · Chapter
Three composite rectangular slabs A, B, and C of equal thickness...
Three composite rectangular slabs A, B, and C of equal thickness and equal cross-sectional area are joined end-to-end in series. Their thermal conductivities are , , and respectively. The free end of slab A is maintained at and the free end of slab C is maintained at . Assuming steady-state heat conduction and no heat loss from the lateral surfaces, what is the temperature difference across the middle slab B?
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
The thermal resistance of a slab is given by .
For the three slabs A, B, and C having equal thickness and equal cross-sectional area , the thermal resistances are:
Since the slabs are connected in series, the rate of heat flow is the same through all of them. The temperature difference across any slab is proportional to its thermal resistance ().
The ratio of temperature differences across the slabs is:
The total temperature difference across the composite slab is:
The temperature difference across the middle slab B is:
Answer:
For the three slabs A, B, and C having equal thickness and equal cross-sectional area , the thermal resistances are:
Since the slabs are connected in series, the rate of heat flow is the same through all of them. The temperature difference across any slab is proportional to its thermal resistance ().
The ratio of temperature differences across the slabs is:
The total temperature difference across the composite slab is:
The temperature difference across the middle slab B is:
Answer: