List of practice Questions

The actinoids exhibit more number of oxidation states in general than the lanthanoids because

The curve represented by the equation 4x² + 16y² - 24x - 32y - 12 = 0 is

The derivative of${\tan }^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)$ with respect to ${\tan }^{-1}\left(\frac{2x\sqrt{1-x^2}}{1-2x^2}\right)$ at $x=0$

The voltage gain is the highest in

A symmetric double convex lens is cut in two equal parts by a plane perpendicular to the principal axis. If the power of the original lens is 4D, the power of a cut lens will be

Five balls numbered 1 to 5 are suspended using separate threads. The pairs of balls (1, 2), (2, 4) and (5, 1) show attraction while the pairs (2, 3) and (4, 5) show repulsion. The ball 1 is :

If momentum $(p)$, area $(A)$ and time $(t)$ are taken to be fundamental quantities, then energy has the dimensional formula

Consider the following reactions, ‘I’ and ‘II’:

Which of the above reactions effectively give(s) 4-methyl hex-2-yne?

In OF2, H2O and OCl2, there is sp³ hybridisation of central atom. The bond length and bond angle of OF2, H2O and OCl2 are given as:

Which of the following is the correct statement about the differences in the bond angles of the compounds given above?

A sample containing 1.0 mole of an ideal gas is expanded reversibly and isothermally to ten times its original volume in two separate experiments. The expansion is carried out at 300 K and 600 K, respectively. Choose the correct option.

Which of the following statements about natural rubber is true?

A compound 'X' on heating gives a colourless gas. The residue is dissolved in water to obtain 'Y'. Excess CO2 is passed through aqueous solution of 'Y', when 'Z' is formed. 'Z', on gentle heating, gives back 'X'. The compound 'X' is

Acylation of the benzene ring is brought about by reacting it with acid halides in the presence of a Lewis acid. The compound ‘X’ used to bring about the above conversion is

The locus of the middle points of all chords of the parabola y² = 4ax passing through the vertex is 

A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

If $x,\frac{3}{2},z$ are in $AP;x,3,z$ are in GP; then which one of the following will be in HP?

Let a , b, c be three real numbers such that a + 2b + 4c = 0. Then the equation ax² + bx + c = 0 

If α and β are the roots of the equation x² + x + 1 = 0, then the equation whose roots are α¹⁹ and β⁷ is 

At a certain temperature, the vapour pressures of benzene and toluene are 119 torr and 37 torr, respectively. The mole fraction of toluene in the vapour phase, which is in equilibrium with a solution of benzene and toluene in 1 : 1 molar ratio, is

Which of the following statements are correct with respect to the unit of radioactivity?(i) The SI unit of radioactivity is curie [Ci].(ii) 1 Ci = 3.7 x 10^-10 dps(iii) 1 Bq = 3.7 x 10^-10 Ci(iv) The SI unit of radioactivity is becquerel (Bq).(v) 1 Ci = 3.7 x 10¹⁰ Bq

An organic compound contains C = 40%, H = 6.67%, N = 46.67% and rest is oxygen. On heating, it gives NH3 along with solid residue and solid residue gives violet colour with alkaline copper sulphate solution. If molecular mass of this organic compound is 60 g, then the compound is:

The coordination number of Ni²⁺ is 4.NiCI2 + KCN (excess) → A (cyano complex)A + conc. HCI (excess) → B (chloro complex)The IUPAC names of A and B, respectively, are

The equation  8x²+ 12y²– 4x + 4y – 1 = 0  represents 

If the straight line  y = mx lies outside of the circle x²+ y²– 20y + 90 = 0, then the value of m will satisfy