In winters ice forms on the surface of a lake. Due to abnormal expansion of water the temperatur...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=JhHDjajoFQs


Duration: 3:10
8 views
0

In winters ice forms on the surface of a lake. Due to abnormal expansion of water the temperature of the water at the bottom of the lake remains constant at \( 4^{\circ} \mathrm{C} \) and we assume that
\( \mathrm{P} \) the amount of heat required to maintain this temperature of the bottom layer of water may come from the bed of the lake. If W surrounding temperature is \( -10^{\circ} \mathrm{C} \), Prove that ice formed from the surface of the lake attains a maximum thickness. Find the maximum depth from surface upto which ice is formed if the depth of lake is \( 1 \mathrm{~m} \). Given that thermal conductivity of ice is \( 0.5 \) \( \mathrm{W} / \mathrm{m}^{\circ} \mathrm{C} \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-02-14Four massless springs whose force constants are \( 2 k, 2 k \), \( k \) and \( 2 k \) respective...
2023-02-14In a horizontal spring-mass system, mass \( m \) is released after being displaced towards right...
2023-02-14A simple pendulum consisting of a mass \( M \) attached to a string of length \( L \) is release...
2023-02-14A particle moves with simple harmonic motion in a straight line. In first \( \tau s \) after sta...
2023-02-14A particle at the end of a spring executes simple harmonic motion with a period \( t_{1} \), whi...
2023-02-14Find the temperature distribution in the space between two coaxial cylinders of radii \( R_{1} \...
2023-02-14A particle free to move along the \( x \)-axis has potential energy given by \( \mathrm{P} \) \[...
2023-02-14A long tungsten heater wire is rated at \( 3 \mathrm{kWm}^{-1} \) and is \( 5.0 \times 10^{-4} \...
2023-02-14A cubical tank of water of volume \( 1 \mathrm{~m}^{3} \) is kept at a constant temperature of \...
2023-02-14A metal block with a heater in it is placed in a room at temperature \( 293 \mathrm{~K} \). When...
2023-02-14In winters ice forms on the surface of a lake. Due to abnormal expansion of water the temperatur...
2023-02-14A thin pipe having outside diameter of \( 3 \mathrm{~cm} \) is to be covered with two layers of ...
2023-02-14A closed cubical box made of perfectly insulating material has walls of thickness \( 8 \mathrm{~...
2023-02-14Find the temperature distribution in a substance placed between two parallel plates kept at temp...
2023-02-14Two solid spheres, one of aluminium and the other of copper, of twice the radius are heated to t...
2023-02-14The gas between two long coaxial cylindrical surfaces is filled with a homogeneous isotropic sub...
2023-02-14Two bodies \( A \) and \( B \) have emissivities of \( 0.01 \) and \( 0.81 \) respectively. The ...
2023-02-14A vertical brick duct (tube) is filled with cast iron. The lower end of the duct is maintained a...
2023-02-14A compound rod, \( 2 \mathrm{~m} \) long, is constructed of a solid steel core, \( 1 \mathrm{~cm...
2023-02-14One end of a steel rod of length \( 1 \mathrm{~m} \) and area of cross section \( 4 \times 10^{-...
2023-02-14रेगिस्तान में मरीचिका दिखाई देती है। कारण बताइए।