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Two bars of thermal conductivities K and 3K and lengths 1 cm and 2 cm, respectively, have equal cross-sectional area, they are joined lengthwise as shown in the figure. If the temperature at the ends of this composite bar is 0°C and 100°C  respectively (see figure), then the temperature (T) of the interface is:
  • a)
    50°C
  • b)
    100/3°C
  • c)
    60°C
  • d)
    200/3°C
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two bars of thermal conductivitiesK and3K and lengths1cm and2cm,respec...
Two bars of thermal conductivities K & 3K & 3 of 1 cm & 2 cm are connected in series,

Two thermal resistance are connected in series 
We know that, 
Here, L is the length of rod, A is the area of cross-section and K is the thermal conductivity of the rod. 
Rod AP and PB are in series , current flow is same in both rods.  
Let, temperature T on point P for rod AP be,
 
For rod BP, length is double in this case,

Dividing equation (i) by equation (ii), we get, 

⇒ 2T = 300 − 3T
⇒ 5T = 300
⇒ T = 60°C
Temperature at the junction point is 60°C.
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Two bars of thermal conductivitiesK and3K and lengths1cm and2cm,respectively, have equal cross-sectional area,they are joined lengthwise as shown in the figure. If the temperature at the ends of this composite bar is0°C and100°C respectively (see figure), then the temperature(T) of the interface is:a)50°Cb)100/3°Cc)60°Cd)200/3°CCorrect answer is option 'C'. Can you explain this answer?
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Two bars of thermal conductivitiesK and3K and lengths1cm and2cm,respectively, have equal cross-sectional area,they are joined lengthwise as shown in the figure. If the temperature at the ends of this composite bar is0°C and100°C respectively (see figure), then the temperature(T) of the interface is:a)50°Cb)100/3°Cc)60°Cd)200/3°CCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two bars of thermal conductivitiesK and3K and lengths1cm and2cm,respectively, have equal cross-sectional area,they are joined lengthwise as shown in the figure. If the temperature at the ends of this composite bar is0°C and100°C respectively (see figure), then the temperature(T) of the interface is:a)50°Cb)100/3°Cc)60°Cd)200/3°CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bars of thermal conductivitiesK and3K and lengths1cm and2cm,respectively, have equal cross-sectional area,they are joined lengthwise as shown in the figure. If the temperature at the ends of this composite bar is0°C and100°C respectively (see figure), then the temperature(T) of the interface is:a)50°Cb)100/3°Cc)60°Cd)200/3°CCorrect answer is option 'C'. Can you explain this answer?.
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