Density & Relative Density : āϘāύāĻ¤ā§āĻŦ āφ⧰⧁ āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ










1) Density (āϘāύāĻ¤ā§āĻŦ) : Density is defined as mass per unit volume. āϘāύāĻ¤ā§āĻŦ āĻšā§ˆāϛ⧇ āĻāĻ•āĻ• āĻ†ā§ŸāϤāύāϤ āĻĨāĻ•āĻž āĻ­ā§°āĨ¤

Formula / āϏ⧂āĻ¤ā§ā§° : Density = Mass/Volume = m/V


Where / āϝ’āϤ: i. m = Mass (āĻ­ā§°), ii. V = Volume (āĻ†ā§ŸāϤāύ)


SI Unit / SI āĻāĻ•āĻ•kg/m3 (kilogram per cubic metre : āĻ•āĻŋāϞ⧋āĻ—ā§ā§°āĻžāĻŽ āĻĒā§āϰāϤāĻŋ āϘāύ āĻŽāĻŋāϟāĻžā§°)



2) Important Points (āϗ⧁⧰⧁āĻ¤ā§āĻŦāĻĒā§‚āĻ°ā§āĻŖ āĻ•āĻĨāĻžāĻŦā§‹ā§°)

  • Greater density → more mass in less volume (āĻ…āϧāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻŽāĻžāύ⧇ āĻ•āĻŽ āĻ†ā§ŸāϤāύāϤ āĻŦ⧇āĻ›āĻŋ āĻ­ā§° āĻĨāĻžāϕ⧇āĨ¤)

  • Iron is denser than wood. (āϞ⧋āĻšāĻžā§° āϘāύāĻ¤ā§āĻŦ āĻ•āĻžāĻ āϤāĻ•ā§ˆ āĻŦ⧇āĻ›āĻŋāĨ¤)

  • Density helps determine floating and sinking. (āϘāύāĻ¤ā§āĻŦ⧇ āĻŦāĻ¸ā§āϤ⧁ āĻ­āĻžāρāĻšāĻŋāĻŦ āύ⧇ āĻĄā§āĻŦāĻŋāĻŦ āϏ⧇āχāĻŸā§‹ āύāĻŋā§°ā§āϧāĻžā§°āĻŖ āϕ⧰⧇āĨ¤)


3) Relative Density (āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ) : Relative density is the ratio of density of a substance to the density of water. (āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻšā§ˆāϛ⧇ āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦ āφ⧰⧁ āĻĒāĻžāύ⧀⧰ āϘāύāĻ¤ā§āĻŦā§° āĻ…āύ⧁āĻĒāĻžāϤāĨ¤)

Formula / āϏ⧂āĻ¤ā§ā§° : Relative Density = Density of Substance / Density of Water


4) Characteristics of Relative Density (āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦā§° āĻŦ⧈āĻļāĻŋāĻˇā§āĻŸā§āϝ)

  • It has no unit. (āχāϝāĻŧāĻžā§° āϕ⧋āύ⧋ āĻāĻ•āĻ• āύāĻžāχāĨ¤)

  • It compares heaviness of substances. (āχ āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āύ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āĻ—āϧ⧁⧰āϤāĻž āϤ⧁āϞāύāĻž āϕ⧰⧇āĨ¤)


5) Applications (āĻŦā§āĻ¯ā§ąāĻšāĻžā§°)

  • Used in hydrometers. (āĻšāĻžāχāĻĄā§ā§°ā§‹āĻŽāĻŋāϟāĻžā§°āϤ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻšāϝāĻŧāĨ¤)

  • Used to test purity of milk. (āĻ—āĻžāϖ⧀⧰⧰ āĻŦāĻŋāĻļ⧁āĻĻā§āϧāϤāĻž āĻĒā§°ā§€āĻ•ā§āώāĻž āϕ⧰āĻŋāĻŦāϞ⧈ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻšāϝāĻŧāĨ¤)

  • Helps identify substances. (āĻĒāĻĻāĻžā§°ā§āĻĨ āϚāĻŋāύāĻžāĻ•ā§āϤ āϕ⧰āĻžāϤ āϏāĻšāĻžāϝāĻŧ āϕ⧰⧇āĨ¤)


6) Floatation Rule (āĻ­āĻžāρāĻšāύāĻŋ āύāĻŋāϝāĻŧāĻŽ)

  • Substance floats if its density is less than the liquid. (āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦ āϤ⧰āϞāϤāĻ•ā§ˆ āĻ•āĻŽ āĻšāϞ⧇ āχ āĻ­āĻžāρāĻšā§‡āĨ¤)

  • Substance sinks if its density is greater than the liquid. (āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦ āϤ⧰āϞāϤāĻ•ā§ˆ āĻŦ⧇āĻ›āĻŋ āĻšāϞ⧇ āχ āĻĄā§āĻŦ⧇āĨ¤)


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Density & Relative Density – 1 Mark PYQ MCQs



  1. Density means -. āϘāύāĻ¤ā§āĻŦ āĻŽāĻžāύ⧇ -


(a) Mass per unit volume | (b) Force per area | (c) Speed per time | (d) Weight per mass


Ans: (a) Mass per unit volume


Explanation: Density is mass contained in unit volume. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϘāύāĻ¤ā§āĻŦ āĻšā§ˆāϛ⧇ āĻāĻ•āĻ• āĻ†ā§ŸāϤāύāϤ āĻĨāĻ•āĻž āĻ­ā§°āĨ¤


2. SI unit of density is —. āϘāύāĻ¤ā§āĻŦā§° SI āĻāĻ•āĻ• āĻšā§ˆāϛ⧇ —


(a) kg/m² | (b) kg/m³ | (c) m/s | (d) N/m²


Ans:  (b) kg/m³


Explanation: Density is measured in kilogram per cubic metre. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϘāύāĻ¤ā§āĻŦ kg/m³-āϤ āĻŽāĻžāĻĒāĻž āĻšāϝāĻŧāĨ¤


3. Relative density is the ratio of density of substance to —. āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻšā§ˆāϛ⧇ āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦ āφ⧰⧁ — ā§° āϘāύāĻ¤ā§āĻŦā§° āĻ…āύ⧁āĻĒāĻžāϤāĨ¤


(a) air | (b) oil | (c) water | (d) mercury


Ans: (c) water


Explanation: Relative density compares a substance with water. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻĒāĻžāύ⧀⧰ āϏ⧈āϤ⧇ āϤ⧁āϞāύāĻž āϕ⧰āĻž āĻšāϝāĻŧāĨ¤


4. Relative density has —. āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦā§° — āĻĨāĻžāϕ⧇āĨ¤


(a) unit | (b) no unit | (c) kg | (d) litre


Ans: (b) no unit


Explanation: Relative density is a ratio, so it has no unit. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āχ āĻāϟāĻž āĻ…āύ⧁āĻĒāĻžāϤ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχāϝāĻŧāĻžā§° āϕ⧋āύ⧋ āĻāĻ•āĻ• āύāĻžāχāĨ¤


5. Which object floats in water ? āϕ⧋āύ āĻŦāĻ¸ā§āϤ⧁ āĻĒāĻžāύ⧀āϤ āĻ­āĻžāρāĻšā§‡ ?


(a) Stone | (b) Iron nail | (c) Wood | (d) Coin


Ans: (c) Wood


Explanation Wood has lower density than water, so it floats. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻ•āĻžāĻ ā§° āϘāύāĻ¤ā§āĻŦ āĻĒāĻžāύ⧀āϤāĻ•ā§ˆ āĻ•āĻŽ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχ āĻ­āĻžāρāĻšā§‡āĨ¤


6. Which object sinks in water ? āϕ⧋āύ āĻŦāĻ¸ā§āϤ⧁ āĻĒāĻžāύ⧀āϤ āĻĄā§āĻŦ⧇ ?


(a) Cork | (b) Wood | (c) Stone | (d) Sponge


Ans: (c) Stone


Explanation: Stone has greater density than water, so it sinks. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻļāĻŋāϞ⧰ āϘāύāĻ¤ā§āĻŦ āĻĒāĻžāύ⧀āϤāĻ•ā§ˆ āĻŦ⧇āĻ›āĻŋ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχ āĻĄā§āĻŦ⧇āĨ¤


7. Instrument used to measure relative density is —. āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻŽāĻžāĻĒāĻŋāĻŦāϞ⧈ āĻŦā§āĻ¯ā§ąāĻšā§ƒāϤ āϝāĻ¨ā§āĻ¤ā§ā§° āĻšā§ˆāϛ⧇ —


(a) Thermometer | (b) Barometer | (c) Hydrometer | (d) Ammeter


Ans: (c) Hydrometer


Explanation: Hydrometer measures relative density of liquids. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: Hydrometer-āĻ āϤ⧰āϞ⧰ āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻŽāĻžāĻĒ⧇āĨ¤


8. Iron is — than wood. āϞ⧋āĻšāĻž āĻ•āĻžāĻ āϤāĻ•ā§ˆ —āĨ¤


(a) lighter | (b) less dense | (c) denser | (d) softer


Ans: (c) denser


Explanation: Iron contains more mass in less volume. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϞ⧋āĻšāĻžāϤ āĻ•āĻŽ āĻ†ā§ŸāϤāύāϤ āĻ…āϧāĻŋāĻ• āĻ­ā§° āĻĨāĻžāϕ⧇āĨ¤


9. Density depends on —. āϘāύāĻ¤ā§āĻŦ āύāĻŋā§°ā§āĻ­ā§° āϕ⧰⧇ —


(a) mass and volume | (b) colour and shape | (c) temperature only | (d) speed only


Ans: (a) mass and volume


Explanation: Density is calculated using mass and volume. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϘāύāĻ¤ā§āĻŦ āĻ­ā§° āφ⧰⧁ āĻ†ā§ŸāϤāύ⧰ āĻ“āĻĒā§°āϤ āύāĻŋā§°ā§āĻ­ā§° āϕ⧰⧇āĨ¤

























10. Substance with lower density than liquid will —. āϤ⧰āϞāϤāĻ•ā§ˆ āĻ•āĻŽ āϘāύāĻ¤ā§āĻŦ āĻĨāĻ•āĻž āĻĒāĻĻāĻžā§°ā§āĻĨ —āĨ¤

(a) sink | (b) float | (c) melt | (d) evaporate


Ans: (b) float


Explanation: A substance floats if its density is less than the liquid. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦ āϤ⧰āϞāϤāĻ•ā§ˆ āĻ•āĻŽ āĻšāϞ⧇ āχ āĻ­āĻžāρāĻšā§‡āĨ¤===============================================================


Density & Relative Density PYQ MCQs (āϘāύāĻ¤ā§āĻŦ āφ⧰⧁ āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ – āĻŦāĻšā§ āĻŦāĻŋāĻ•āĻ˛ā§āĻĒā§€ āĻĒā§ā§°āĻļā§














2 Marks Questions / ⧍ āύāĻŽā§āĻŦā§°ā§° āĻĒā§ā§°āĻļā§āύ

1. What is the SI unit of density ? āϘāύāĻ¤ā§āĻŦā§° SI āĻāĻ•āĻ• āĻ•āĻŋ ?

(a) kg/m² | (b) kg/m³ | (c) g/cm | (d) m³/kg

Ans:  (b) kg/m³

Explanation: Density is mass per unit volume, so its SI unit is kilogram per cubic metre (kg/m³). āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϘāύāĻ¤ā§āĻŦ āĻšā§ˆāϛ⧇ āĻāĻ•āĻ• āĻ†ā§ŸāϤāύāϤ āĻ­ā§°, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχāϝāĻŧāĻžā§° SI āĻāĻ•āĻ• āĻšā§ˆāϛ⧇ kg/m³

āĨ¤2. Relative density has - . āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦā§° — āĻĨāĻžāϕ⧇āĨ¤

(a) unit | (b) no unit | (c) metre | (d) litre

Ans: (b) no unit

Explanation: Relative density is a ratio, so it has no unit. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻāϟāĻž āĻ…āύ⧁āĻĒāĻžāϤ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχāϝāĻŧāĻžā§° āϕ⧋āύ⧋ āĻāĻ•āĻ• āύāĻžāχāĨ¤

3. Which substance has higher density ? āϕ⧋āύ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦ āĻŦ⧇āĻ›āĻŋ ?

(a) Wood | (b) Cotton | (c) Iron | (d) Sponge

Ans:  (c) Iron

Explanation: Iron contains more mass in less volume, so it has higher density. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϞ⧋āĻšāĻžāϤ āĻ•āĻŽ āĻ†ā§ŸāϤāύāϤ āĻ…āϧāĻŋāĻ• āĻ­ā§° āĻĨāĻžāϕ⧇, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχāϝāĻŧāĻžā§° āϘāύāĻ¤ā§āĻŦ āĻŦ⧇āĻ›āĻŋāĨ¤

4. A substance floats in water if its density is — . āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨ āĻĒāĻžāύ⧀āϤ āĻ­āĻžāρāĻšā§‡ āϝāĻĻāĻŋ āχāϝāĻŧāĻžā§° āϘāύāĻ¤ā§āĻŦ — āĻšāϝāĻŧāĨ¤

(a) greater than water | (b) equal to water | (c) less than water | (d) very high

Ans: (c) less than water

Explanation: A body floats when its density is less than the density of water. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϕ⧋āύ⧋ āĻŦāĻ¸ā§āϤ⧁⧰ āϘāύāĻ¤ā§āĻŦ āĻĒāĻžāύ⧀āϤāĻ•ā§ˆ āĻ•āĻŽ āĻšāϞ⧇ āχ āĻĒāĻžāύ⧀āϤ āĻ­āĻžāρāĻšā§‡āĨ¤

5. Which instrument is used to measure relative density ? āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻŽāĻžāĻĒāĻŋāĻŦāϞ⧈ āϕ⧋āύ āϝāĻ¨ā§āĻ¤ā§ā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϕ⧰āĻž āĻšāϝāĻŧ ?

(a) Thermometer | (b) Hydrometer | (c) Barometer | (d) Lactometer

Ans: (b) Hydrometer

Explanation: Hydrometer is used to measure relative density of liquids. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϤ⧰āϞ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻŽāĻžāĻĒāĻŋāĻŦāϞ⧈ Hydrometer āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϕ⧰āĻž āĻšāϝāĻŧāĨ¤

5 Marks Questions / ā§Ģ āύāĻŽā§āĻŦā§°ā§° āĻĒā§ā§°āĻļā§āύ

1. Define density and write its SI unit. āϘāύāĻ¤ā§āĻŦā§° āϏāĻ‚āĻœā§āĻžāĻž āĻĻāĻŋāϝāĻŧāĻž āφ⧰⧁ āχāϝāĻŧāĻžā§° SI āĻāĻ•āĻ• āϞāĻŋāĻ–āĻžāĨ¤

(a) Mass per unit volume | (b) Force per area | (c) Work per time | (d) Energy per mass

Ans: (a) Mass per unit volume

Explanation: Density is defined as mass per unit volume. Its SI unit is kg/m³. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āϘāύāĻ¤ā§āĻŦ āĻšā§ˆāϛ⧇ āĻāĻ•āĻ• āĻ†ā§ŸāϤāύāϤ āĻĨāĻ•āĻž āĻ­ā§°āĨ¤ āχāϝāĻŧāĻžā§° SI āĻāĻ•āĻ• āĻšā§ˆāϛ⧇ kg/m³āĨ¤

2. What is relative density ? āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻ•āĻŋ ?

(a) Ratio of mass and weight | (b) Ratio of density of substance to density of water | (c) Ratio of force and area | (d) Ratio of volume and mass

Ans: (c) Ratio of force and area

Explanation: Relative density compares the density of a substance with the density of water. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ⧇ āϕ⧋āύ⧋ āĻĒāĻĻāĻžā§°ā§āĻĨā§° āϘāύāĻ¤ā§āĻŦāĻ• āĻĒāĻžāύ⧀⧰ āϘāύāĻ¤ā§āĻŦā§° āϏ⧈āϤ⧇ āϤ⧁āϞāύāĻž āϕ⧰⧇āĨ¤

3. Why does a stone sink in water ? āĻļāĻŋāϞ āĻĒāĻžāύ⧀āϤ āĻ•āĻŋāϝāĻŧ āĻĄā§āĻŦ⧇ ?

(a) Low volume | (b) Low mass | (c) Density greater than water | (d) Less weight

Ans: (c) Density greater than water

Explanation: Stone sinks because its density is greater than the density of water. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻļāĻŋāϞ⧰ āϘāύāĻ¤ā§āĻŦ āĻĒāĻžāύ⧀āϤāĻ•ā§ˆ āĻŦ⧇āĻ›āĻŋ āĻšā§‹ā§ąāĻž āĻŦāĻžāĻŦ⧇ āχ āĻĄā§āĻŦ⧇āĨ¤

4. Why does wood float on water ? āĻ•āĻžāĻ  āĻĒāĻžāύ⧀āϤ āĻ•āĻŋāϝāĻŧ āĻ­āĻžāρāĻšā§‡ ?

(a) High density | (b) Low density | (c) Heavy weight | (d) Large size

Ans: (b) Low density

Explanation: Wood floats because its density is less than water. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻ•āĻžāĻ ā§° āϘāύāĻ¤ā§āĻŦ āĻĒāĻžāύ⧀āϤāĻ•ā§ˆ āĻ•āĻŽ āĻšā§‹ā§ąāĻž āĻŦāĻžāĻŦ⧇ āχ āĻ­āĻžāρāĻšā§‡āĨ¤

5. Which statement is correct about relative density ? āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āϏāĻŽā§āĻĒā§°ā§āϕ⧇ āϕ⧋āύāĻŸā§‹ āωāĻ•ā§āϤāĻŋ āϏāĻ āĻŋāĻ• ?

(a) It has SI unit | (b) It is measured in kg | (c) It has no unit | (d) It is always greater than 1

Ans: (c) It has no unit

Explanation: Relative density is only a ratio, so it has no unit. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āφāĻĒ⧇āĻ•ā§āώāĻŋāĻ• āϘāύāĻ¤ā§āĻŦ āĻ•ā§‡ā§ąāϞ āĻāϟāĻž āĻ…āύ⧁āĻĒāĻžāϤ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āχāϝāĻŧāĻžā§° āϕ⧋āύ⧋ āĻāĻ•āĻ• āύāĻžāχāĨ¤