Properties Of Solids And Liquids Question 407
Question: One end of a uniform rod of length 1 m is placed in boiling water while its other end is placed in melting ice. A point P on the rod is maintained at a constant temperature of $ 800{}^\circ C $ . The mass of steam produced per second is equal to the mass of ice melted per second. If specific latent heat of steam is 7 times the specific latent heat of ice, the distance of P from the steam chamber must be
Options:
A) (1/7) m
B) (1/8) m
C) (1/9) m
D) (1/10) m
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ Q _{1}=kA( \frac{800-100}{x} )t=mL _{stream} $
$ Q _{2}=kA( \frac{800-100}{1-x} )t=mL _{ice} $
Dividing $ ( \frac{700}{x} )( \frac{1-x}{800} )=7 $ or $ 1-x=8xorx=\frac{1}{9}m $
