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Heat and Thermodynamics question

2007 · Shift 0 · Q90
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  5. /2007 · Shift 0 · Q90

Heat and Thermodynamics question

2007 · Shift 0 · Q90

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
One end of a thermally insulated rod is kept at a temperature T1{T_1}T1​ and the other at T2{T_2}T2​. The rod is composed of two sections of length L1{L_1}L1​ and L2{L_2}L2​ and thermal conductivities K1{K_1}K1​ and K2{K_2}K2​ respectively. The temperature at the interface of the two section is AIEEE 2007 Physics - Heat and Thermodynamics Question 401 English
  1. A
    (K1L1T1+K2L2T2)(K1L1+K2L2){{\left( {{K_1}{L_1}{T_1} + {K_2}{L_2}{T_2}} \right)} \over {\left( {{K_1}{L_1} + {K_2}{L_2}} \right)}}(K1​L1​+K2​L2​)(K1​L1​T1​+K2​L2​T2​)​
  2. B
    (K2L2T1+K1L1T2)(K1L1+K2L2){{\left( {{K_2}{L_2}{T_1} + {K_1}{L_1}{T_2}} \right)} \over {\left( {{K_1}{L_1} + {K_2}{L_2}} \right)}}(K1​L1​+K2​L2​)(K2​L2​T1​+K1​L1​T2​)​
  3. C
    (K2L1T1+K1L2T2)(K2L1+K1L2){{\left( {{K_2}{L_1}{T_1} + {K_1}{L_2}{T_2}} \right)} \over {\left( {{K_2}{L_1} + {K_1}{L_2}} \right)}}(K2​L1​+K1​L2​)(K2​L1​T1​+K1​L2​T2​)​
  4. D
    (K1L2T1+K2L1T2)(K1L2+K2L1){{\left( {{K_1}{L_2}{T_1} + {K_2}{L_1}{T_2}} \right)} \over {\left( {{K_1}{L_2} + {K_2}{L_1}} \right)}}(K1​L2​+K2​L1​)(K1​L2​T1​+K2​L1​T2​)​
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