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Q.

There are three thermometers{one in contact with the skin of the man, other in between the vest and the shirt and third in between the shirt and coat. The readings of the thermometers are 30oC,25oC and 22oC, respectively. If the vest and the shirt are of the same thickness, the ratio of their thermal conductivities is

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a

9:25

b

25:9

c

5:3

d

3:5

answer is D.

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Detailed Solution

Rate of flow of heat will be equal in both vest and shirt  ∴ Kvest A⋅Δθvest tl=Kshirt AΔθshirt tl⇒ Kvest Kshirt =Δθshirt Δθvest ⇒Kvest Kshirt =25−2230−25=35
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There are three thermometers{one in contact with the skin of the man, other in between the vest and the shirt and third in between the shirt and coat. The readings of the thermometers are 30oC,25oC and 22oC, respectively. If the vest and the shirt are of the same thickness, the ratio of their thermal conductivities is