Home
Class 12
PHYSICS
In a 10 m deep lake, the bottom is at a ...

In a 10 m deep lake, the bottom is at a constant temperature of `4^(@)C`. The air temperature is constant at `- 4^(@)C. K_(ice) = 3 K_(omega)`. Neglecting the expansion of water on freezing, the maximum thickness of ice will be

A

7.5 m

B

6 m

C

5 m

D

2.5 m

Text Solution

Verified by Experts

The rate of heat flow is the same through waer and ice in the steady state.

`I=kA(4-0)/(10-x)=3kA(0-(-4))/x`
`x=(10-x)3`
or `x=7.5m`
Hence a is correct.
Promotional Banner

Topper's Solved these Questions

  • HEAT AND TEMPERATURE

    FIITJEE|Exercise COMPREHENSION TYPE|5 Videos

  • HEAT AND TEMPERATURE

    FIITJEE|Exercise ASSERTION REASON TYPE|1 Videos

  • HEAT AND TEMPERATURE

    FIITJEE|Exercise SOLVED PROBLEMS SUBJECTIVE|18 Videos

  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

  • KINEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS DECIMAL TYPE|5 Videos

Similar Questions

Explore conceptually related problems

In an 20 m deep lake, the bottom is at a constant temperature of 4^(@)C . The air temperature is constant at -10 ^(@)C . The thermal conductivity of ice in 4 times that water. Neglecting the expansion of water on freezing, the maximum thickness of ice will be

M g of ice at 0^@C is mixed with M g of water at 10^@ c . The final temperature is

A : At higher temperature , K_w of water remains unaltered. R: k_w is a constant.

If 10 g of ice at 0^@C mixes with 10 g of water at 10^@C , then the final temperature t is given by

The top of a lake is frozen as the atmospheric temperature is -10^(@)C . The temperature at the bottom of the lake is most likely to be,