Transmission Of Heat Question 37

Question: Two vessels of different materials are similar in size in every respect. The same quantity of ice filled in them gets melted in 20 minutes and 30 minutes. The ratio of their thermal conductivities will be

[MP PMT 1989; CMEET Bihar 1995]

Options:

A) 1.5

B) 1

C) 2/3

D) 4

Show Answer

Answer:

Correct Answer: A

Solution:

$ Q=\frac{KA({\theta _{1}}-{\theta _{2}})t}{l}; $ in both the cases , A, l and $ ({\theta _{1}}-{\theta _{2}}) $ are same so Kt = constant

Therefore $ \frac{K _{1}}{K _{2}}=\frac{t _{1}}{t _{2}}=\frac{30}{20}=\frac{3}{2} $ = 1.5.