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General ScienceMediumAsked in: UPSC CAPF · CAPF 2026, Paper I

Consider the following statements in the light of octane number and cetane number of fuels: 1. Cetane number is used for gasoline and octane number is used for diesel. 2. Octane number of n-hexadecane is 100 and cetane number of isooctane is 100. Which of the statements given above is/are correct?

  1. A.1 only
  2. B.2 only
  3. C.Both 1 and 2
  4. D.Neither 1 nor 2

Correct answer

D. Neither 1 nor 2

Explanation

The correct answer is D, Neither 1 nor 2. Both statements swap the two scales: octane number rates petrol, cetane number rates diesel, and their reference fuels are the other way round.

Octane number measures how well petrol (gasoline) resists knocking in a spark-ignition engine. Its scale sets isooctane (2,2,4-trimethylpentane) at 100 and n-heptane at 0. Cetane number measures how readily diesel ignites under compression in a diesel engine, where quick ignition is wanted. Its scale sets n-hexadecane, called cetane, at 100 and alpha-methylnaphthalene at 0. So a good petrol has a high octane number and a good diesel a high cetane number.

A is wrong because statement 1 reverses the fuels: octane is for gasoline and cetane is for diesel. B is wrong because statement 2 reverses the reference compounds: isooctane has octane number 100, and n-hexadecane has cetane number 100. C is wrong because neither statement is correct.

Exam tip: Octane = petrol, isooctane 100, n-heptane 0; Cetane = diesel, n-hexadecane 100.

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Q2.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
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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.

Q5.General ScienceAsked in: NDA · NDA-I 2021, GATMedium

Which one of the following conclusions could not be derived from Rutherford's α-particle scattering experiment?

  1. A.Most of the space in the atom is empty.
  2. B.The radius of the atom is about 10⁵ times the radius of the nucleus.
  3. C.Electrons move in a circular path of fixed energy called orbits.
  4. D.Nearly all the mass of the atom resides in the nucleus.
Show answer
Correct answer: C. Electrons move in a circular path of fixed energy called orbits.

. Orbits of fixed energy were proposed by Niels Bohr in 1913; Rutherford's experiment said nothing about the energy of electrons.