1. State Einstein’s photoelectric equation. (1 Mark)
Answer:
where:
=Maximum kinetic energy of photoelectrons
h = Planck’s constant
ν = Frequency of incident light
= Work function of the metal
2. What is the work function? (1 Mark)
Answer: The work function (ϕ0) is the minimum energy required to remove an electron from the surface of a metal.
3. Define threshold frequency. (1 Mark)
Answer: The minimum frequency of incident radiation required to cause photoelectric emission is called the threshold frequency
4. Why does increasing intensity not increase the maximum kinetic energy of photoelectrons? (2 Marks)
Answer:
The energy of each photon depends only on its frequency (E=hν).
Increasing intensity increases only the number of photons, not the energy of each photon.
Hence, the maximum kinetic energy of photoelectrons remains unchanged.
5. Why is there no photoelectric emission below the threshold frequency? (2 Marks)
Answer: When
The photon energy is less than the work function, so electrons cannot escape from the metal surface regardless of the intensity of light.
6. How does Einstein’s theory explain the effect of intensity? (2 Marks)
Answer:
Intensity is proportional to the number of incident photons.
More photons eject more electrons.
Therefore, photoelectric current increases, while the maximum kinetic energy remains unchanged.
7. Explain why photoelectric emission is instantaneous according to Einstein’s theory. (2 Marks)
Answer: Each electron absorbs the energy of a single photon in one step. If the photon energy exceeds the work function, the electron is emitted immediately. Hence, there is no time lag.
8. Write the relation between stopping potential and frequency. (2 Marks)
Answer:
or
9. Draw the graph of stopping potential versus frequency and write its significance. (3 Marks)
Answer:
The graph is a straight line.
Slope =
X-intercept = Threshold frequency
Y-intercept =
10. State any four conclusions of Einstein’s photoelectric theory. (3 Marks)
Answer:
Light consists of photons.
Energy of each photon is hν.
One photon transfers its energy to one electron.
Photoelectric emission occurs only if ν≥ν0.
Maximum kinetic energy depends only on frequency.
Photoelectric current depends on intensity.
Most Important Board Formulae
These are the most frequently asked CBSE Class 12 board questions from Einstein’s Photoelectric Equation.
Population interactions are ecological relationships between individuals of different species living in the same habitat. These interactions influence the survival, growth, reproduction, and distribution of organisms. Depending on whether the interacting species benefit, are harmed, or remain unaffected, population interactions are classified into mutualism, competition, predation, parasitism, commensalism, and amensalism.
Competition (−/− Interaction)
Definition
Competition is an interaction in which both species are harmed (-/-) because they compete for the same resource.
Resources may include:
Food
Water
Space
Light
Nutrients
Darwin’s View
Darwin considered competition (struggle for existence) as a major driving force of organic evolution.
According to him, only the fittest survive (“Survival of the Fittest”).
Important Facts
1. Competition is not limited to closely related species.
Wrong belief: Only closely related species compete.
Correct: Even unrelated species can compete.
Example:
Flamingoes and fishes compete for zooplankton in South American lakes.
2. Resources need not always be limited.
Competition can occur even when food is abundant.
This is called:
Interference Competition
One species directly interferes with another.
The presence of one species reduces the feeding efficiency of the other.
Even if:
Food is abundant
Space is abundant
competition may still occur.
Best Definition of Competition
Competition is a process in which
The fitness (intrinsic rate of increase, r) of one species decreases in the presence of another species.
Fitness
Means the ability to survive and reproduce.
r (Intrinsic Rate of Increase)
Represents how fast a population can grow.
Competition lowers the value of r.
Competitive Exclusion
Laboratory experiments show that
When resources are limited,
➡️ The competitively stronger species eliminates the weaker species.
Example 1: Galápagos Tortoise
Abingdon tortoise lived on Galápagos Islands.
Goats were introduced.
Goats were better browsers.
Tortoise became extinct.
Reason:
Strong competition for vegetation.
Competitive Release
Definition
When a competitively superior species is removed,
the weaker species expands its geographical distribution.
This phenomenon is called
Competitive Release
Example 2: Connell’s Barnacle Experiment
Two barnacle species:
Balanus
Chthamalus(correct spelling; NCERT may print Chathamalus)
Results:
Balanus is larger and competitively superior.
It occupies the intertidal zone.
Chthamalus is pushed into higher zones.
When Balanus is removed, → Chthamalus spreads into the intertidal region.
This demonstrates competitive release.
Herbivores vs Carnivores
Competition affects:
Herbivores → More
Plants → More
Carnivores → Less
Gause’s Competitive Exclusion Principle
Statement
Two closely related species competing for the same limiting resources cannot coexist indefinitely. The competitively inferior species will eventually be eliminated.
Condition
This principle is mainly true when:
✅ Resources are limiting.
If resources are abundant, coexistence may still be possible.
Modern View
Recent studies suggest that
Competition does not always end in extinction.
Species may evolve ways to coexist.
Resource Partitioning
Definition
When competing species use the same resource in different ways, competition decreases.
They may differ in:
Feeding time
Feeding place
Feeding method
This allows coexistence.
Example: MacArthur’s Warblers
Five closely related warbler species lived on the same tree.
They survived together because:
Each searched for insects in different parts of the tree.
Their feeding behaviour differed.
This is called resource partitioning.
NEET Important Examples
Example
Concept
Flamingoes vs Fishes
Competition between unrelated species
Abingdon Tortoise vs Goats
Competitive exclusion in nature
Balanus vs Chthamalus
Competitive release
Five Warbler Species
Resource partitioning
One-Line Revision
Competition = (-/-) interaction
Darwin → Survival of the fittest
Competition can occur between related or unrelated species
According to the wave theory, light is an electromagnetic wave in which energy is spread continuously over the entire wavefront.
When light falls on a metal surface, electrons should absorb this energy gradually.
Predictions of Wave Theory
1. Kinetic energy should increase with intensity ❌
Higher intensity means larger wave amplitude.
Therefore, each electron should absorb more energy.
Hence, the maximum kinetic energy (K.E.) of photoelectrons should increase.
Experimental observation: The maximum kinetic energy depends on the frequency of light, not on intensity.
2. No threshold frequency should exist ❌
According to wave theory:
Every frequency carries energy.
If light is sufficiently intense or allowed to fall for a long time, electrons should eventually receive enough energy to escape.
Therefore, photoelectric emission should occur at every frequency.
Experimental observation: A threshold frequency (ν0\nu_0ν0) exists. Below this frequency, no photoelectric emission occurs, regardless of intensity or exposure time.
3. Intensity alone should produce emission ❌
Wave theory predicts:
Increasing intensity should eventually eject electrons even if frequency is low.
Experimental observation: Increasing intensity below the threshold frequency does not produce any photoelectrons.
4. There should be a time delay ❌
According to wave theory:
Energy is absorbed gradually.
Each electron receives only a tiny fraction of the wave’s energy at a time.
It should take seconds, minutes, or even hours for an electron to accumulate enough energy to escape.
Experimental observation: Photoelectric emission is instantaneous (within about 10−9 s or less).
Why Wave Theory Fails
Wave Theory Prediction
Experimental Observation
K.E. increases with intensity
K.E. depends on frequency
No threshold frequency
Threshold frequency exists
Low-frequency intense light should eject electrons
No emission below threshold frequency
Time delay expected
Emission is instantaneous
Conclusion
The wave theory of light could not explain the photoelectric effect because its predictions contradicted experimental observations. These failures led Albert Einstein to propose the photon (quantum) theory of light, according to which light consists of packets of energy called photons, each having energy:E=hν
This theory successfully explained all the observations of the photoelectric effect.
Biomacromolecules are large biomolecules with molecular weights greater than 10,000 Da. They are found in the acid-insoluble fraction of cells and include proteins, nucleic acids (DNA and RNA), and polysaccharides. These are generally polymeric molecules made up of repeating smaller units (monomers).
The acid-soluble fraction contains micromolecules, such as amino acids, sugars, nucleotides, and other small molecules, with molecular weights ranging from 18 to about 800 Da.
Although lipids have low molecular weights (usually less than 800 Da), they are present in the acid-insoluble fraction because they are organized into cell membranes. When cells are broken, membrane fragments form insoluble vesicles, causing lipids to separate with the acid-insoluble fraction. Therefore, lipids are not true biomacromolecules.
Key Facts (NEET/CBSE)
Micromolecules: Molecular weight < 1000 Da (acid-soluble fraction).
Biomacromolecules: Molecular weight > 10,000 Da (acid-insoluble fraction).
Examples of biomacromolecules: Proteins, nucleic acids, polysaccharides.
Lipids are an exception: Present in the acid-insoluble fraction but not true macromolecules.
Water is the most abundant chemical in living organisms.
A carboxylic acid is called a fatty acid when it has a long hydrocarbon chain attached to the carboxyl group (-COOH).
where R is a long hydrocarbon chain, usually containing 4 to 36 carbon atoms (most common are 12–22 carbons).
Examples
Compound
Formula
Fatty Acid?
Reason
Formic acid
HCOOH
❌ No
No hydrocarbon chain
Acetic acid
CH₃COOH
❌ No
Only 2 carbons
Propionic acid
CH₃CH₂COOH
❌ No
Too short
Butyric acid
CH₃(CH₂)₂COOH
✔️ Yes (short-chain fatty acid)
4 carbons
Palmitic acid
C₁₅H₃₁COOH
✔️ Yes
16 carbons
Stearic acid
C₁₇H₃₅COOH
✔️ Yes
18 carbons
Oleic acid
C₁₇H₃₃COOH
✔️ Yes
18 carbons, one double bond
Classification of fatty acids
Short-chain: 4–6 carbons
Medium-chain: 8–12 carbons
Long-chain: 14–20 carbons
Very long-chain: 22 or more carbons
Saturated vs Unsaturated
Saturated fatty acid (no C=C bond)
Palmitic acid (C₁₆:0)
Stearic acid (C₁₈:0)
Unsaturated fatty acid (one or more C=C bonds)
Oleic acid (C₁₈:1)
Linoleic acid (C₁₈:2)
Linolenic acid (C₁₈:3)
NEET/JEE Definition
Fatty acids are aliphatic monocarboxylic acids containing a long hydrocarbon chain. They may be saturated or unsaturated and are the building blocks of fats and oils (triglycerides).
Important Note
There is no strict carbon-number cutoff in chemistry, but in biology and biochemistry, carboxylic acids with long hydrocarbon chains (typically C₄ and above, especially C₁₂–C₂₂) are referred to as fatty acids. Acetic acid and propionic acid are carboxylic acids, but they are generally not considered fatty acids in the context of fats and oils.
The terms lipids and fats are related, but they are not the same. Fats are a type of lipid, while lipids are a broader group of biological molecules.
Feature
Lipids
Fats
Definition
A broad class of water-insoluble biomolecules
A specific type of lipid (mainly triglycerides)
Composition
Includes fats, oils, waxes, phospholipids, steroids, etc.
Made of one glycerol molecule and three fatty acids (triglycerides)
Examples
Cholesterol, phospholipids, waxes, fats, oils
Butter, ghee, lard, animal fat
Functions
Energy storage, cell membrane formation, hormones, insulation, waterproofing
Mainly long-term energy storage and insulation
Physical State
Can be solid or liquid
Usually solid at room temperature (animal fats); liquid forms are often called oils
Found In
All living organisms
Mainly animals, though plants also produce fats and oils
Key Points
Lipids = Umbrella term
Fats
Oils
Waxes
Phospholipids
Steroids (e.g., cholesterol)
Fats = One category of lipids
Store excess energy.
Protect organs.
Help maintain body temperature.
Easy Analogy
Lipids are like “vehicles.”
Fats are like “cars.”
Just as every car is a vehicle but not every vehicle is a car, every fat is a lipid, but not every lipid is a fat.
Exam Tip (NEET/CBSE)
All fats are lipids, but all lipids are not fats. This is a commonly asked conceptual question in biology and chemistry.
Fats are esters?
More specifically, fats are triesters (triglycerides or triacylglycerols) formed by the reaction of glycerol with three fatty acid molecules.
Formation of a fat (esterification)
For example:
Difference between oils and fats?
Fats and oils are both triglycerides (triacylglycerols)—they are esters of glycerol and three fatty acids. The main difference is the type of fatty acids they contain, which determines whether they are solid or liquid at room temperature.
Feature
Fats
Oils
Physical state (25°C)
Solid or semi-solid
Liquid
Fatty acids
Rich in saturated fatty acids
Rich in unsaturated fatty acids
Carbon–carbon bonds
Mostly single bonds (C–C)
One or more double bonds (C=C)
Packing of molecules
Pack tightly
Do not pack tightly because of bends caused by double bonds
Melting point
Higher
Lower
Common source
Mostly animals (butter, ghee, lard)
Mostly plants and fish (mustard oil, sunflower oil, olive oil)
Examples
Butter, ghee, tallow
Olive oil, coconut oil*, sunflower oil
Why are oils liquid?
Unsaturated fatty acids contain C=C double bonds, usually in the cis configuration. These create kinks (bends) in the hydrocarbon chains, preventing the molecules from packing closely together. As a result, the intermolecular forces are weaker, so they melt at lower temperatures and remain liquid.
Why are fats solid?
Saturated fatty acids have no C=C double bonds, so their chains are straight. They pack closely together, leading to stronger intermolecular forces and a higher melting point, making them solid at room temperature.