Sigma Percentile
JEE Advanced 2007
LEVELJEE Main

Animated Solution for Physics - Properties of Solids and Liquids: Column I gives some devices and Column II gives some processes on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II.

List-I

(P)
Bimetallic strip
(Q)
Steam engine
(R)
Incandescent lamp
(S)
Electric fuse

List-II

(1)
Radiation from a hot body
(2)
Energy conversion
(3)
Melting
(4)
Thermal expansion of solids

Select Matching Pairs:

PMatches
QMatches
RMatches
SMatches

Visualized Solution

  • We need to match the devices in Column I with their underlying physical principles in Column II.

  • A bimetallic strip consists of two different metals bonded together.
  • Since different metals have different coefficients of linear expansion (), they expand by different amounts when heated.
  • This causes the strip to bend.

  • Device: Bimetallic strip
  • Process: Thermal expansion of solids
  • Match: (A) (s)

  • A steam engine is a heat engine.
  • It takes heat from a hot reservoir (boiler), converts a part of it into mechanical work, and rejects the rest to a cold sink.
  • It fundamentally involves the conversion of heat energy into mechanical energy.

  • Device: Steam engine
  • Process: Energy conversion
  • Match: (B) (q)

  • An incandescent lamp works by passing an electric current through a tungsten filament.
  • The current heats the filament to a very high temperature.
  • The hot filament emits light, which is a form of thermal radiation.

  • In the process, electrical energy is being converted into heat and light energy.
  • Therefore, it also involves energy conversion.

  • Device: Incandescent lamp
  • Processes: Radiation from a hot body, Energy conversion
  • Match: (C) (p), (q)

  • An electric fuse is a safety device used in circuits.
  • It works on the principle of the heating effect of electric current ().
  • When the current exceeds a safe limit, the heat generated melts the fuse wire, breaking the circuit.

  • The heating of the fuse wire is a direct result of converting electrical energy into thermal energy.
  • Thus, energy conversion is also involved.

  • Device: Electric fuse
  • Processes: Energy conversion, Melting
  • Match: (D) (q), (r)

  • (A) Bimetallic strip (s) Thermal expansion
  • (B) Steam engine (q) Energy conversion
  • (C) Incandescent lamp (p) Radiation, (q) Energy conversion
  • (D) Electric fuse (q) Energy conversion, (r) Melting

  • Understanding the physical principles behind everyday devices helps in grasping abstract concepts.
  • Think about other devices like a refrigerator or a transformer and identify their core principles.

The Sigma Insight: Thermal Expansion

The Beauty of Everyday Physics

Have you ever stopped to wonder about the hidden physics in the devices we use every single day? It is easy to take for granted the click of a thermostat, the glow of a light bulb, or the sudden snap of a fuse when the power surges. But behind these mundane events lies a beautiful symphony of physical laws.
In this problem, we are not just matching columns; we are dissecting the soul of four incredible inventions. We are going to look at the bimetallic strip, the steam engine, the incandescent lamp, and the electric fuse. By understanding the core processes that make them tick, you will start seeing the world through the eyes of a physicist. Let's dive in!

The Bimetallic Strip

A Tale of Two Metals
Imagine you have two different metals—let's say brass and steel. You weld them together back-to-back to form a single strip. Now, what happens when you heat this strip?
We know that when solids are heated, their atoms vibrate more vigorously, pushing each other apart. This is the phenomenon of thermal expansion. However, not all materials expand at the same rate. The rate of expansion is governed by a property called the coefficient of linear expansion, denoted by .
Because our two metals have different values of , one will try to expand more than the other. But since they are welded together, they are forced to compromise. The metal that wants to expand more will end up on the outside of a curve, forcing the entire strip to bend!
This elegant bending action is used in thermostats to make or break electrical circuits as temperature changes. Therefore, the fundamental principle behind the bimetallic strip is the thermal expansion of solids.

The Steam Engine

Powering the Industrial Revolution
Next, we travel back in time to the device that powered the Industrial Revolution: the steam engine. How does a massive locomotive pull thousands of tons of steel?
At its heart, a steam engine is a classic heat engine. It operates by taking heat from a high-temperature source (the boiler, where coal or wood is burned to boil water). This heat turns water into high-pressure steam. The steam then expands against a piston, pushing it outward.
What is happening here on a fundamental level? The engine is taking thermal energy and transforming it into mechanical work. It is a beautiful, raw display of energy conversion. While it does involve the expansion of a gas, the core functional classification for a heat engine is the conversion of heat energy into mechanical energy.

The Incandescent Lamp

Let There Be Light
Now, let's look at the incandescent lamp—the classic glass bulb with a glowing wire inside. When you flip the switch, a potential difference drives an electric current through a very thin tungsten filament.
Because the filament has resistance, the flowing electrons constantly collide with the tungsten atoms. These collisions transfer kinetic energy to the atoms, causing the filament to heat up dramatically. This is Joule heating, governed by the equation . Here, we are witnessing a clear energy conversion: electrical energy is being converted into thermal energy.
But the story doesn't end there. The filament gets incredibly hot—often over ! According to the laws of thermodynamics, any object at a temperature above absolute zero emits electromagnetic radiation. When the tungsten gets this hot, a significant portion of its radiation falls into the visible spectrum. This is radiation from a hot body.
Therefore, the incandescent lamp relies on both energy conversion and thermal radiation to function.

The Electric Fuse

The Ultimate Sacrifice
Finally, we arrive at the electric fuse. This tiny, unassuming device is the unsung hero of your home's electrical system. Its entire purpose is to destroy itself to save your expensive appliances.
A fuse consists of a short piece of wire made of a material with a relatively high resistance and a low melting point (like an alloy of lead and tin). When the circuit operates normally, the small amount of heat generated is easily dissipated into the surroundings.
However, if there is a short circuit or an overload, a massive current surges through the wire. Suddenly, the rate of Joule heating () skyrockets. Once again, we see energy conversion at play, as electrical energy is rapidly transformed into heat.
Because the heat is generated faster than it can be dissipated, the temperature of the wire shoots up. It quickly reaches its melting point, and the solid wire turns into a liquid. The wire breaks, the circuit opens, and the current stops. The device functions entirely on the principle of melting triggered by energy conversion.

Bringing It All Together

By breaking down these devices, we have successfully decoded the matrix.
The bimetallic strip bends due to the thermal expansion of solids. The steam engine drives progress through energy conversion. The incandescent lamp illuminates our world via energy conversion and radiation from a hot body. And the electric fuse protects us through energy conversion and melting.
Physics is not just a collection of equations on a chalkboard; it is the operating system of the universe. Keep questioning how things work, and you will never stop learning!

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