Two metal rods of same length and same material conduct a given amount of heat in $8$ seconds, when they are joined end to end. But when they are joined in parallel, the time taken to conduct the same amount of heat under same conditions is

4 s

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2 s

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16 s

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1 s

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Solution

The correct option is B $2 s$
Let the conductance of each rod be $C$
Conductance in series is $C / 2$ .
Time taken = Heat transferred /Conductance.
$T = 8 s = 2 H / C$
Conductance in parallel $= 2 C$
$T = H / 2 C = 8 / 4 s = 2 s$ .

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Two metal rods of same length and same material conduct a given amount of heat in 8 seconds, when they are joined end to end. But when they are joined in parallel, the time taken to conduct the same amount of heat under same conditions is

The correct option is B 2sLet the conductance of each rod be CConductance in series is C/2. Time taken = Heat transferred /Conductance.T=8s=2H/CConductance in parallel =2CT=H/2C=8/4 s=2s.

Two metal rods of same length and same material conduct a given amount of heat in $8$ seconds, when they are joined end to end. But when they are joined in parallel, the time taken to conduct the same amount of heat under same conditions is

The correct option is B $2 s$
Let the conductance of each rod be $C$
Conductance in series is $C / 2$ .
Time taken = Heat transferred /Conductance.
$T = 8 s = 2 H / C$
Conductance in parallel $= 2 C$
$T = H / 2 C = 8 / 4 s = 2 s$ .