Hamiltonian Mechanics - Infographics

Physics - Question of the Week - The Rat in a Bowl

Adopted From "Thinking Physics" by Lewis Carroll Epstein

Resonance: Small pushes at the right timing build enough energy to lift the ball.

The Secret Behind the Evaporation of Cold Water - Maxwell - Boltzmann Statistics

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ROM, PROM and EPROM

ROM (Read Only Memory) is a non-volatile memory that stores permanent data and instructions. The data is written during manufacturing and cannot be modified later. It is mainly used to store firmware such as the booting program of a computer.

PROM (Programmable Read Only Memory) is also non-volatile but differs from ROM in that it is initially blank. The user can program it once using a special device. After programming, the data becomes permanent and cannot be erased or altered.

EPROM (Erasable Programmable Read Only Memory) is an advanced type of PROM that allows data to be erased and reprogrammed multiple times. The stored data can be erased by exposing the chip to ultraviolet (UV) light, after which it can be reused.

Feature	ROM	PROM	EPROM
Full Form	Read Only Memory	Programmable ROM	Erasable Programmable ROM
Nature	Permanent	Programmable once	Reusable
Programming	Manufacturer	User (once)	User (multiple times)
Erasing	Not possible	Not possible	UV Light
Usage	Firmware	Custom programming	Testing & development

ROM stores fixed data, PROM allows one-time programming, and EPROM allows multiple reprogramming after erasing.

Spontaneous Vs Simulated Emission of Radiation

Spontaneous vs Stimulated Emission

In atomic physics, electrons occupy discrete energy levels. Let E₁ be the ground state and E₂ be the excited state. When electrons transition between these levels, energy is either absorbed or emitted as photons. The emission of light occurs in two distinct ways: Spontaneous Emission and Stimulated Emission.

Spontaneous Emission

Spontaneous emission is the natural, unforced process by which an excited atom returns to its stable ground state.

Mechanism: An electron is initially in the excited state E₂.Since higher energy states are unstable, the electron naturally drops to the lower energy state E₁ after a very short lifetime (typically 10⁻⁸ s).
The energy difference is released as a photon according to the equation:
ΔE = E₂ − E₁ = hν
Characteristics:
- Randomness: The exact time of emission and the direction of the emitted photon are completely random.
- Incoherence:Because millions of atoms emit photons independently at different times and in different directions, the resulting light waves are out of phase.

Stimulated Emission

Stimulated emission is the artificial, forced process of emission triggered by an external photon. This is the fundamental principle behind LASER operation.

Mechanism: An electron is already in the excited state (E₂). An incident external photon, having an exact energy of hν=E₂−E₁, interacts with the excited atom.
Energy Released: This interaction forces the electron to drop to the ground state (E₁) prematurely. As it drops, it releases a photon.
Characteristics:
- Multiplication: The process starts with one incident photon and ends up with two photons (the incident one + the newly emitted one)
- Coherence: start with one incident photon and end up with two photons (the incident one + the newly emitted one)

Key Differences

Parameter	Spontaneous Emission	Stimulated Emission
Trigger mechanism	No external trigger required; happens naturally.	Requires an external incident photon to trigger the drop.
Photon Output	One photon emitted per transition.	Two identical photons exit for every one incident photon.
Phase Relationship	Photons are out of phase (Incoherent).	Photons are perfectly in phase (Coherent).
Directionality	Multi-directional and scattered.	Highly directional and parallel.
Light Intensity	Low intensity (e.g., standard light bulbs, neon).	Extremely high intensity (e.g., Lasers).
Thermodynamic State	Dominant in thermal equilibrium.	Requires Population Inversion (more atoms in $E_2$ than $E_1$).