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Linear Mathematics (Linear Algebra) 3rd Semester paper  LU PDF Download Lucknow University (LU) ke BSc Mathematics 3rd Semester students ke liye yeh Linear Mathematics / Linear Algebra ka PDF bahut helpful hai. Isme vector spaces, linear transformations, eigenvalues, eigenvectors aur matrices ke important concepts ko simple language me explain kiya gaya hai. Agar aap LU ya UP state universities me BSc Math kar rahe hain to yeh notes aapke exam ke liye perfect hain. What’s Inside the PDF? Vector Spaces aur subspaces ka easy explanation Linear transformations with solved examples Eigenvalues aur eigenvectors ke important questions Matrices, rank, determinant aur system of equations Exam me baar-baar puchhe gaye questions 3rd Semester ke Linear Mathematics me students ko sabse zyada dikkat vector spaces, basis, dimension aur linear transformations me hoti hai. Yeh notes aapko clear aur short explanation dete hain. Aap easily revision kar sakte hain aur ex...

Moon Water Lunar water is very rare

Lunar water

๐ŸŒ Normal Water on Earth: All Information in Simple Language

Water is one of the most important substances on Earth. Life exists because of water. Let’s understand everything about it in detail.

✅ 1. What is water?

Water is a simple molecule. Its chemical formula is H₂O. That means each water molecule has:

  • 2 hydrogen atoms

  • 1 oxygen atom

It is colorless, tasteless, and odorless in its pure form. It can exist in three states:

  • Liquid (water we drink)

  • Solid (ice)

  • Gas (water vapor or steam)


✅ 2. How much water is on Earth?

Earth is also called the "Blue Planet" because about 71% of its surface is covered with water.
But not all of it is usable for humans. Breakdown:

  • 97% – Saltwater in oceans and seas (not drinkable directly)

  • 3% – Freshwater

    • 69% of freshwater – in glaciers and ice caps (frozen)

    • 30% – underground (groundwater)

    • ~1% – in lakes, rivers, atmosphere

Only a very small fraction of all water is easily usable for drinking and daily use.


✅ 3. Water Cycle

water cycle image 2025


Earth has a natural recycling system called the water cycle:

  • Evaporation: Sun heats water from oceans/lakes → turns into vapor

  • Condensation: Vapor rises, cools, forms clouds

  • Precipitation: Clouds release water as rain, snow, hail

  • Collection: Water collects in rivers, lakes, oceans, groundwater

This cycle makes sure Earth has a continuous supply of water.


✅ 4. Importance of water

  • Essential for all living things

  • Needed for drinking, farming, industry

  • Maintains climate and temperature

  • Supports ecosystems


✅ 5. Water distribution problem

Even though Earth has a lot of water, there is a crisis because:

  • Most water is salty or frozen

  • Unequal distribution → Some places have floods, others have droughts

  • Pollution contaminates water sources

  • Overuse of groundwater lowers water tables

Hence, water conservation is very important.


✅ 6. Forms of water on Earth

  • Surface water: Rivers, lakes

  • Groundwater: Stored in rocks/soil

  • Glaciers/ice caps: Huge frozen reserves

  • Atmospheric water: Water vapor, clouds

  • Ocean water: Salty, vast, supports marine life


✅ 7. Water and life

  • Every organism needs water

  • Human body ≈ 60–70% water

  • Plants need water for photosynthesis

  • Aquatic life lives in water

Without water, life cannot exist on Earth.


✅ 8. Threats to Earth's water

  • Pollution (chemicals, plastics)

  • Climate change (melting glaciers, changing rainfall patterns)

  • Overuse (groundwater depletion)

  • Contamination (wastewater, industrial discharge)


✅ 9. Water management solutions

  • Rainwater harvesting

  • Reuse and recycling

  • Protecting wetlands and rivers

  • Reducing wastage

  • Desalination (making seawater drinkable)

  • Treating wastewater


water on the moon
๐ŸŒ• Lunar Water (Water on the Moon): All Information in Simple Language

lunar water is dangerous for human health because human does not survive when drink this water so please don't drink water on other planet 
it's very rarely survive on the moon 

Now let’s talk about water on the Moon – a very interesting and important discovery!

✅ 1. Is there water on the Moon?

For a long time, scientists thought the Moon was completely dry. But now we know there is water on the Moon, though it is not in lakes or rivers like on Earth.


✅ 2. How was lunar water discovered?

  • 2008: India’s Chandrayaan-1 mission found evidence of water molecules on the Moon’s surface.

  • NASA’s Moon Mineralogy Mapper (on Chandrayaan-1) detected water signatures.

  • Later, many missions confirmed these findings.


✅ 3. In what form is water found on the Moon?

There is no liquid water on the Moon. It is found in these forms:

  • Ice in permanently shadowed craters (especially near the poles)

  • Hydroxyl (OH) and water molecules chemically bound in lunar soil (regolith)

  • Very thin layer of water molecules that comes and goes on the sunlit surface


✅ 4. Where exactly is Moon’s water?

  • Mainly at the poles, especially in craters that never see sunlight (always cold)

  • In the soil all over the Moon, but in tiny amounts

  • Possible deposits under the surface


✅ 5. How much water is on the Moon?

  • Estimates vary, but polar regions may have millions of tones of ice

  • Enough to support future lunar bases if extracted carefully

  • Exact quantities still being studied


✅ 6. Why is lunar water important?

Water on the Moon can be a game changer:

  • Drinking water for astronauts

  • Split into hydrogen and oxygen → rocket fuel

  • Oxygen for breathing

  • Supports long-term lunar colonies

Using lunar resources reduces the need to transport water from Earth, saving huge costs.


✅ 7. How is lunar water detected and studied?

  • Remote sensing from orbit (spectrometers, radars)

  • Landers and rovers analyzing soil

  • Future missions plan to drill and sample ice

  • lunar water found in liquid and solid form on the moon 

Examples:

  • Chandrayaan-1 and 2 (India)

  • NASA’s Lunar Reconnaissance Orbiter

  • NASA’s upcoming Artemis program

  • VIPER rover planned to search for polar ice


✅ 8. Challenges in using lunar water

  • Extreme cold in shadowed craters (below -200°C)

  • Difficult to mine and extract ice

  • Need technology to process and purify

  • Dust and rough terrain


✅ 9. Future plans

  • NASA’s Artemis program aims to establish a sustainable presence on the Moon

  • Extracting and using lunar water is a major goal

  • Could make Moon a fuel station for Mars missions


Conclusion

  • ๐ŸŒ Earth has abundant water, but most is salty or frozen. Freshwater is limited and precious.

  • ๐ŸŒ• The Moon has water in ice and bound forms, mostly at the poles.

  • Water on Earth supports all life. Water on the Moon could support future space exploration.

IT'S WRITTEN BY : VIVEK  ๐Ÿ‘€

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By Vivek Tiwari