Three rods of length 3 m,2 m,1 m, area 1mm2, 2mm2, 3mm2 thermal conductivity 32W/mk, 23W/mk, 14W/mk respectively are joined between 2 reservoirs at 100°C and 0°C in parallel. Choose the correct statement(s).

R=lKA R1:R2:R3=332×1:223×2:114×3=2:32:43=12:9:8 dTdx=∆TlTemp. gradient ratio= 13:12:1=2:3:6 dQdt=∆TRTRatio= 12:23:34=6:8:9

Three rods of length 3 m,2 m,1 m, area 1mm2, 2mm2, 3mm2 thermal conductivity 32W/mk, 23W/mk, 14W/mk respectively are joined between 2 reservoirs at 100°C and 0°C in parallel. Choose the correct statement(s).

R=lKA R1:R2:R3=332×1:223×2:114×3=2:32:43=12:9:8 dTdx=∆TlTemp. gradient ratio= 13:12:1=2:3:6 dQdt=∆TRTRatio= 12:23:34=6:8:9

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Three rods of length $3 m, 2 m, 1 m,$ area $1 m m^{2}, 2 m m^{2}, 3 m m^{2}$ thermal conductivity $\frac{3}{2} W / m k, \frac{2}{3} W / m k, \frac{1}{4} W / m k$ respectively are joined between $2$ reservoirs at $100 ° C$ and $0 ° C$ in parallel. Choose the correct statement(s).

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Their thermal resistance are in ratio $12 : 9 : 8$

Their temperature gradient are in ratio $2 : 3 : 6$

The temperature at their mid points are in ratio $6 : 3 : 2$

The heat flown through them are in ratio $6 : 8 : 9$

answer is A, B, D.

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$R = \frac{l}{K A} R_{1} : R_{2} : R_{3} = \frac{3}{\frac{3}{2} \times 1} : \frac{2}{\frac{2}{3} \times 2} : \frac{1}{\frac{1}{4} \times 3} = 2 : \frac{3}{2} : \frac{4}{3} = 12 : 9 : 8 \frac{d T}{d x} = \frac{∆ T}{l}$

Temp. gradient ratio= $\frac{1}{3} : \frac{1}{2} : 1 = 2 : 3 : 6$

$\frac{d Q}{d t} = \frac{∆ T}{R_{T}}$

Ratio= $\frac{1}{2} : \frac{2}{3} : \frac{3}{4} = 6 : 8 : 9$

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Three rods of length 3 m,2 m,1 m, area 1mm2, 2mm2, 3mm2 thermal conductivity 32W/mk, 23W/mk, 14W/mk respectively are joined between 2 reservoirs at 100°C and 0°C in parallel. Choose the correct statement(s).

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Three rods of length $3 m, 2 m, 1 m,$ area $1 m m^{2}, 2 m m^{2}, 3 m m^{2}$ thermal conductivity $\frac{3}{2} W / m k, \frac{2}{3} W / m k, \frac{1}{4} W / m k$ respectively are joined between $2$ reservoirs at $100 ° C$ and $0 ° C$ in parallel. Choose the correct statement(s).