List of practice Questions

If y = (cosx²)², then \(\frac{dy}{dx}\) is equal to

At x = 1, the function f(x) = \(\left\{ \begin{aligned}     & x^3-1\ \ \ \ \ \ 1<x<\infin \\     & x-1\ \ \ \ \ -\infin<x≤1 \\      \end{aligned} \right.\) is

If x³ - 2x² - 9x + 18 = 0 and A = \(\begin{vmatrix}     1 & 2 & 3 \\     4 & x & 6 \\     7 & 8 & 9 \\ \end{vmatrix}\) then the maximum value of A is

If f(x) = \(\begin{vmatrix}     cosx & 1 & 0 \\     0 & 2cosx & 3 \\     0 & 1 & 2cosx \\ \end{vmatrix}\) then \(\lim\limits_{x\rightarrow\pi} f(x)=\)

If A and B are invertible matrices then which of the following is not correct ?

Zeta potential is

If A and B are matrices of order 3 and |A| = 5, |B| = 3 then |3AB| is

Which of the following is an incorrect statement ?

A colloidal solution is subjected to an electric field than colloidal particles more towards anode. The amount of electrolytes of BaCl₂, AlCl₃ and NaCl required to coagulate the given colloid is in the order

Let M be 2 × 2 symmetric matrix with integer entries, then M is invertible if

Arrange benzene, n-hexane and ethyne in decreasing order of their acidic behaviour

If \(A=\begin{bmatrix}     1 & -2 & 1 \\     2 & 1 & 3 \\ \end{bmatrix}\ B=\begin{bmatrix}     2 & 1 \\     3 & 2 \\     1 & 1 \\ \end{bmatrix}\) then (AB)' is equal to

Higher order (>3) reactions are rare due to

The correct IUPAC name of

The rate of a gaseous reaction is given by the expression k[A][B]². If the volume of vessel is reduced to one half of the initial volume, the reaction rate as compared to original rate is

If the rate constant for a first order reaction is k, the time(t) required for the completion of 99% of the reaction is given by

The third ionisation enthalpy is highest in

For a reaction A + 2B → Products, when concentration of B alone is increased half life remains the same. If concentration of A alone is doubled, rate remains the same. The unit of rate constant for the reaction is

\(H_{2(g)}+2AgCl_{(s)}⇌2Ag_{(s)}+2HCl_{(aq)}\)
\(E^{\degree}_{cell}\) at 25° C for the cell is 0.22 V. The equilibrium constant at 25° C is

The resistance of 0.01 m KCl solution at 298 K is 1500Ω. If the conductivity of 0.01 m KCl solution at 298 K is 0.1466 × 10^-3 S cm^-1. The cell constant of the conductivity cell in cm^-1 is

The number of angular and radial nodes in 3p orbital respectively are

Consider the following electrodes
P = Zn²⁺ (0.0001 M)/Zn  Q = Zn²⁺ (0.1 M)/Zn
R = Zn²⁺ (0.01 M)/Zn       S = Zn²⁺ (0.001 M)/Zn
E°Zn/Zn²⁺ = 0.76 V Electrode potentials of the above electrodes in volts are in the order

The vapour pressure of pure liquids A and B are 450 and 700 mm of Hg at 350 K respectively. If the total vapour pressure of the mixture is 600 mm of Hg, the composition of the mixture in the solution is

The K_H value (K bar) of Argon (I), Carbondioxide (II) formuldehyde (III) and methane (IV) are respectively 40.3, 167, 1.83×10^-5 and 0.413 at 298 K. The increasing order of solubility of gas in liquid is

Choose the correct statement