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General ScienceMediumAsked in: NDA · NDA-I 2021, GAT

Which one of the following statements about the cleansing action of soap is not true?

  1. A.The oil and dirt gets collected in the centre of the micelle.
  2. B.Soap micelles scatter light.
  3. C.Soaps are ammonium salts of long chain carboxylic acids.
  4. D.Soap forms insoluble precipitates with the calcium and magnesium ions in hard water.

Correct answer

C. Soaps are ammonium salts of long chain carboxylic acids.

Explanation

The correct answer is C. Soaps are sodium or potassium salts of long-chain carboxylic (fatty) acids, not ammonium salts.

A soap molecule has a long hydrocarbon tail that mixes with oil and an ionic head that faces water. In water the molecules cluster into micelles: the tails point inwards and trap oil and grease, while the heads stay outside, so rinsing carries the dirt away. Soap is made by heating fats or oils with sodium hydroxide (saponification); potassium soaps are softer.

A is wrong to choose because the oily dirt really does gather at the centre of the micelle.

B is wrong to choose because micelles are large enough to form a colloid, so they scatter light.

D is wrong to choose because calcium and magnesium ions do form insoluble scum with soap, which is why it lathers poorly in hard water.

Exam tip: soap = Na/K salt of fatty acid; micelle traps oil inside; hard water forms scum, so detergents are used there.

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Q1.General ScienceAsked in: CDS · CDS-II 2016, GKEasy

The pressure exerted by a 760 mm column of mercury at 0 °C is known as

  1. A.1 pascal
  2. B.1 atmosphere
  3. C.1 bar
  4. D.1 poise
Show answer
Correct answer: B. 1 atmosphere

Standard atmospheric pressure at sea level is defined as the pressure of a 760 mm column of mercury at 0 °C. In 1643 Evangelista Torricelli showed that air pressure holds up a column of mercury about 760 mm (76 cm) tall in a glass tube, inventing the mercury barometer.

Q2.General ScienceAsked in: CDS · CDS-I 2023, GKEasy

Sound and light waves are

  1. A.respectively longitudinal and transverse in air
  2. B.respectively transverse and longitudinal in air
  3. C.both longitudinal in air
  4. D.both transverse in air
Show answer
Correct answer: A. respectively longitudinal and transverse in air

Sound travels as compressions and rarefactions, while light is a transverse electromagnetic wave. In a longitudinal wave the particles of the medium vibrate back and forth along the direction in which the wave moves.

Q4.General ScienceAsked in: NDA · NDA-II 2018, GATMedium

A planet has a mass M₁ and radius R₁. The value of acceleration due to gravity on its surface is g₁. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?

  1. A.g₁
  2. B.2g₁
  3. C.g₁/2
  4. D.g₁/4
Show answer
Correct answer: C. g₁/2

Surface gravity is g = GM/R², so doubling the mass doubles g while doubling the radius divides it by four, leaving g₁ × 2/4 = g₁/2.