AIEEE Questions

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Proof of Sum of cubes of first n even natural numbers ::

Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

Here in the option B) H2SO4 - Sulfuric acid is reacting with sodium hydroxide (NaOH), a base to produce a salt (Sodium Sulfate), and water (H2O). This is characteristic of of acid-base neutralization reactions.

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

An approach to studying biology that aims to model the dynamic behavior of whole biological systems based on a study of the interactions among the system's parts.

A rotating column of air is called as a Tornado which extends from the thunderstorm to the ground.

German Chemist, Adolf von Baeyer first synthesized Barbituric Acid in 1864.