Question:
On a winter day when the atmospheric temperature drops to $-10^{\circ} \mathrm{C}$, ice forms on the surface of a lake.
(a) Calculate the rate of increase of thickness of the ice when $10 \mathrm{~cm}$ of ice is already formed.
(b) Calculate the total time taken in forming $10 \mathrm{~cm}$ of ice. Assume that the temperature of the entire water reaches $0^{\circ} \mathrm{C}$ before the ice starts forming. Density of water $=1000 \mathrm{~kg} / \mathrm{m}^{3}$ latent heat of fusion of ice $=3.36 \times 10^{5} \mathrm{~J} / \mathrm{kg}$ and thermal conductivity of ice $=1.7 \mathrm{~W} / \mathrm{m}-{ }^{\circ} \mathrm{C}$ Neglect the expansion of water on freezing.
Solution:
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- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
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- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
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- Ray Optics and Optical Instruments
- Wave Optics
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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