Pressure increase with Depth : Pressure in Liquids (Water) | āϤ⧰āϞāϤ āϚāĻžāĻĒ (āĻĒāĻžāύ⧀)


Pressure in Liquids (Water) | āϤ⧰āϞāϤ āϚāĻžāĻĒ (āĻĒāĻžāύ⧀)


Concept Visualization




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 Statement (āĻŦāĻžāĻ•ā§āϝ)


Water from the lowest hole spurts out with the greatest force because pressure increases with depth. (āĻ¸ā§°ā§āĻŦāύāĻŋāĻŽā§āύ āĻ›āĻŋāĻĻā§ā§°ā§° āĻĒā§°āĻž āĻĒāĻžāύ⧀ āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āĻœā§‹ā§°ā§‡ āĻ“āϞāĻžāχ āĻ•āĻžā§°āĻŖ āĻ—āϭ⧀⧰āϤāĻž āĻŦāĻžāĻĸāĻŧāĻŋāϞ⧇ āϚāĻžāĻĒā§‹ āĻŦāĻžāĻĸāĻŧ⧇āĨ¤)


Explanation (āĻŦā§āϝāĻžāĻ–ā§āϝāĻž)



  • In liquids, pressure depends on depth : āϤ⧰āϞāϤ āϚāĻžāĻĒ āĻ—āϭ⧀⧰āϤāĻžā§° āĻ“āĻĒā§°āϤ āύāĻŋā§°ā§āĻ­ā§° āϕ⧰⧇

  • Deeper point → more water above → more weight → more pressure : āϝāĻŋāĻŽāĻžāύ āϤāϞāϞ⧈ āϝāĻžāϝāĻŧ → āĻ“āĻĒā§°āϤ āĻĒāĻžāύ⧀⧰ āĻĒā§°āĻŋāĻŽāĻžāĻŖ āĻŦ⧇āĻ›āĻŋ → āĻ“āϜāύ āĻŦ⧇āĻ›āĻŋ → āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋ

  • So, the lowest hole has maximum pressure : āϏ⧇āϝāĻŧ⧇ āϤāϞ⧰ āĻ›āĻŋāĻĻā§ā§°āϤ āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āϚāĻžāĻĒ āĻĨāĻžāϕ⧇

  • Hence, water comes out with greatest force : āĻĢāϞāϤ āĻĒāĻžāύ⧀ āĻŦ⧇āĻ›āĻŋ āĻœā§‹ā§°ā§‡ āĻ“āϞāĻžāχ


Formula (āϏ⧂āĻ¤ā§ā§°) : P=hρg


Where (āϝ’āϤ):



  • h = depth (āĻ—āϭ⧀⧰āϤāĻž)

  • ρ (rho) = density of liquid (āϘāύāĻ¤ā§āĻŦ)

  • g = gravity (āĻŽāĻžāĻ§ā§āϝāĻžāĻ•āĻ°ā§āώāĻŖ)


Key Points (āϗ⧁āϰ⧁āĻ¤ā§āĻŦāĻĒā§‚āĻ°ā§āĻŖ āĻ•āĻĨāĻž)



  • Pressure increases with depth : āĻ—āϭ⧀⧰āϤāĻž āĻŦāĻžāĻĸāĻŧāĻŋāϞ⧇ āϚāĻžāĻĒ āĻŦāĻžāĻĸāĻŧ⧇

  • Lowest hole → maximum pressure : āϤāϞ⧰ āĻ›āĻŋāĻĻā§ā§° → āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āϚāĻžāĻĒ

  • Same liquid → deeper = stronger flow : āĻāϕ⧇ āϤ⧰āϞ → āĻ—āϭ⧀⧰āϤāĻž āĻŦ⧇āĻ›āĻŋ = āĻœā§‹ā§° āĻŦ⧇āĻ›āĻŋ


Real-Life Examples (āĻŦāĻžāĻ¸ā§āĻ¤ā§ą āωāĻĻāĻžāĻšā§°āĻŖ)



  • Dams are thicker at the bottom : āĻĄā§‡āĻŽ āϤāϞāĻĢāĻžāϞ⧇ āĻĄāĻžāĻ  āϕ⧰āĻž āĻšāϝāĻŧ

  • Divers feel more pressure underwater : āĻĄā§āĻŦāĻžā§°ā§€ā§Ÿā§‡ āϤāϞāϞ⧈ āĻ—’āϞ⧇ āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋ āĻ…āύ⧁āĻ­ā§ą āϕ⧰⧇


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MCQ


1. Liquid pressure depends on — | āϤ⧰āϞ⧰ āϚāĻžāĻĒ āĻ•āĻŋāĻšā§° āĻ“āĻĒā§°āϤ āύāĻŋā§°ā§āĻ­ā§° āϕ⧰⧇ ?


A. Color  B. Depth  C. Shape  D. Temperature
Ans: B. Depth
Explanation: Pressure increases with depth. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻ—āϭ⧀⧰āϤāĻž āĻŦāĻžāĻĸāĻŧāĻŋāϞ⧇ āϚāĻžāĻĒ āĻŦāĻžāĻĸāĻŧ⧇āĨ¤


2. Water from the lowest hole comes out with — | āϤāϞ⧰ āĻ›āĻŋāĻĻā§ā§°ā§° āĻĒā§°āĻž āĻĒāĻžāύ⧀ āϕ⧇āύ⧇āĻ•ā§ˆ āĻ“āϞāĻžāχ ?


A. Least force  B. Same force  C. Greatest force  D. No force
Ans: C. Greatest force
Explanation: Lowest point has maximum pressure. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϤāϞ⧰ āĻ…āĻ‚āĻļāϤ āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋāĨ¤


3. Pressure in a liquid increases with — | āϤ⧰āϞāϤ āϚāĻžāĻĒ āĻŦāĻžāĻĸāĻŧ⧇ —


A. Height from bottom  B. Depth  C. Area  D. Shape
Ans: B. Depth
Explanation: More depth → more pressure. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻ—āϭ⧀⧰āϤāĻž āĻŦ⧇āĻ›āĻŋ → āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋāĨ¤


4. Which hole will throw water farthest ? | āϕ⧋āύāĻŸā§‹ āĻ›āĻŋāĻĻā§ā§°ā§‡ āĻĒāĻžāύ⧀ āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āĻĻā§‚ā§°āϞ⧈ āϝāĻžāĻŦ ?


A. Top hole  B. Middle hole  C. Bottom hole  D. All same
Ans: C. Bottom hole
Explanation: Bottom hole has highest pressure. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϤāϞ⧰ āĻ›āĻŋāĻĻā§ā§°āϤ āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋāĨ¤


5. The formula of liquid pressure is — | āϤ⧰āϞ āϚāĻžāĻĒā§° āϏ⧂āĻ¤ā§ā§° āĻ•āĻŋ ?


A. P = F/A  B. P = m/v  C. P = hρg  D. P = mv
Ans: C. P = hρg
Explanation: Pressure depends on depth, density, gravity. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻ—āϭ⧀⧰āϤāĻž, āϘāύāĻ¤ā§āĻŦ, āĻŽāĻžāĻ§ā§āϝāĻžāĻ•āĻ°ā§āώāĻŖā§° āĻ“āĻĒā§°āϤ āύāĻŋā§°ā§āĻ­ā§° āϕ⧰⧇āĨ¤


6. Why are dams thicker at the bottom ? | āĻĄā§‡āĻŽ āϤāϞāĻĢāĻžāϞ⧇ āĻĄāĻžāĻ  āĻ•āĻŋāϝāĻŧ āĻšāϝāĻŧ ?


A. Less pressure  B. More pressure  C. Less water  D. Less gravity
Ans: B. More pressure
Explanation: Pressure is maximum at bottom. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϤāϞāĻĢāĻžāϞ⧇ āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋāĨ¤


7. A diver feels more pressure because — | āĻĄā§āĻŦāĻžā§°ā§€ā§Ÿā§‡ āĻŦ⧇āĻ›āĻŋ āϚāĻžāĻĒ āĻ…āύ⧁āĻ­ā§ą āϕ⧰⧇ āĻ•āĻžā§°āĻŖ —


A. Less water  B. More depth  C. Less gravity  D. Less area
Ans: B. More depth
Explanation: Greater depth → higher pressure. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻ—āϭ⧀⧰āϤāĻž āĻŦ⧇āĻ›āĻŋ → āϚāĻžāĻĒ āĻŦ⧇āĻ›āĻŋāĨ¤


8. At same depth, pressure is — | āĻāϕ⧇ āĻ—āϭ⧀⧰āϤāĻžāϤ āϚāĻžāĻĒ āϕ⧇āύ⧇āĻ•ā§ā§ąāĻž ?


A. Different  B. Same  C. Zero  D. Maximum
Ans: B. Same
Explanation: Same depth → same pressure. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻāϕ⧇ āĻ—āϭ⧀⧰āϤāĻž → āĻāϕ⧇ āϚāĻžāĻĒāĨ¤


9. Liquid pressure does NOT depend on — | āϤ⧰āϞ āϚāĻžāĻĒ āĻ•āĻŋāĻšā§° āĻ“āĻĒā§°āϤ āύāĻŋā§°ā§āĻ­ā§° āύāϕ⧰⧇ ?


A. Depth  B. Density  C. Shape of container  D. Gravity
Ans: C. Shape of container
Explanation: Shape does not affect pressure. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻĒāĻžāĻ¤ā§ā§°ā§° āφāĻ•ā§ƒāϤāĻŋā§° āĻĒā§ā§°āĻ­āĻžā§ą āύāĻžāĻĨāĻžāϕ⧇āĨ¤


10. Unit of liquid pressure is — | āϤ⧰āϞ āϚāĻžāĻĒā§° āĻāĻ•āĻ• āĻ•āĻŋ ?


A. Newton  B. Pascal  C. Joule  D. Watt
Ans: B. Pascal
Explanation: SI unit is Pascal. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: SI āĻāĻ•āĻ• āĻĒāĻžāĻ¸ā§āϕ⧇āϞāĨ¤


Revision (āĻĒ⧁āύ⧰āĻžāϞ⧋āϚāύāĻž) : Pressure increases with depth (āĻ—āϭ⧀⧰āϤāĻž āĻŦāĻžāĻĸāĻŧāĻŋāϞ⧇ āϚāĻžāĻĒ āĻŦāĻžāĻĸāĻŧ⧇)