The incorrect statements regarding geometrical isomerism are : (A) Propene shows geometrical isomerism. (B) Trans isomer has identical atoms/groups on the opposite sides of the dou
A liquid when kept inside a thermally insulated closed vessel at 25^\circ\text{C} was mechanically stirred from outside. What will be the correct option for the following thermodyn
Which of the following electronegativity order is incorrect?
Lanthanoid ions with 4f^7 configuration are : (A) \text{Eu}^{2+} (B) \text{Gd}^{3+} (C) \text{Eu}^{3+} (D) \text{Tb}^{3+} (E) \text{Sm}^{2+} Choose the correct answer from the opti
Given below are two statements : Statement I : One mole of propyne reacts with excess of sodium to liberate half a mole of \text{H}_2 gas. Statement II : Four \text{g} of propyne r
The compounds which give positive Fehling's test are : (A) \text{Ph-CHO} (B) \text{Ph-CO-CH}_3 (C) \text{HOCH}_2 - \text{CO} - (\text{CHOH})_3 - \text{CH}_2 - \text{OH} (D) \text{C
Which of the following electrolyte can be used to obtain \text{H}_2\text{S}_2\text{O}_8 by the process of electrolysis?
Given below are two statements : Statement I : \text{CH}_3 - \text{O} - \text{CH}_2 - \text{Cl} will undergo \text{S}_{\text{N}}1 reaction though it is a primary halide. Statement
Which of the following acids is a vitamin?
Which of the following statement is not true for radioactive decay?
Nitrobenzene \xrightarrow{\text{(i) } \text{Br}_2, \text{ AcOH}} \xrightarrow{\text{(ii) } \text{Sn, HCl}} \xrightarrow{\text{(iii) } \text{NaNO}_2, \text{HCl, 273 K}} \xrightarrow
A vessel at 1000\text{ K} contains \text{CO}_2 with a pressure of 0.5\text{ atm} . Some of \text{CO}_2 is converted into \text{CO} on addition of graphite. If total pressure at equ
The IUPAC name of the following compound is : \begin{array}{c} \phantom{\text{CH}_3-\text{C}}\text{COOH}\phantom{\text{--CH}_2-\text{CH}_2-\text{C}}\text{COOCH}_3 \\ \phantom{\text
In which of the following complexes the \text{CFSE}, \Delta_\text{o} will be equal to zero?
Arrange the following solutions in order of their increasing boiling points. (i) 10^{-4}\text{M NaCl} (ii) 10^{-4}\text{M Urea} (iii) 10^{-3}\text{M NaCl} (iv) 10^{-2}\text{M NaCl}
The number of molecules/ions that show linear geometry among the following is _______ \text{SO}_2, \text{BeCl}_2, \text{CO}_2, \text{N}_3^-, \text{NO}_2, \text{F}_2\text{O}, \text{
Consider the following sequence of reactions : Nitrobenzene \xrightarrow{\text{(i) } \text{Sn} + \text{HCl}} \xrightarrow{\text{(ii) } \text{NaNO}_2, \text{HCl, } 0^\circ\text{C}}
Some \text{CO}_2 gas was kept in a sealed container at a pressure of 1\text{ atm} and at 273\text{ K} . This entire amount of \text{CO}_2 gas was later passed through an aqueous so
In Carius method for estimation of halogens, 180\text{ mg} of an organic compound produced 143.5\text{ mg} of \text{AgCl}. The percentage composition of chlorine in the compound is
Let a_1, a_2, a_3, ext{...} be a G.P. of increasing positive terms. If a_1 a_5 = 28 and a_2 + a_4 = 29, then a_6 is equal to:
From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter is ' M ', is :
Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of 16\left((\sec^{-1} x)^2 + (\operatorname{cosec}^{-1} x)^2\right)
Let f : \mathbf{R} \to \mathbf{R} be a twice differentiable function such that f(x + y) = f(x)f(y) for all x, y \in \mathbf{R}. If f'(0) = 4a and f satisfies f''(x) - 3af'(x) - f(x
Let the foci of a hyperbola be (1, 14) and (1, -12). If it passes through the point (1, 6), then the length of its latus-rectum is :
A coin is tossed three times. Let X denote the number of times a tail follows a head. If \mu and \sigma^2 denote the mean and variance of X, then the value of 64\left(\mu + \sigma^
The number of non-empty equivalence relations on the set \{1, 2, 3\} is :
A circle C of radius 2 lies in the second quadrant and touches both the coordinate axes. Let r be the radius of a circle that has centre at the point (2, 5) and intersects the circ
Let x = x(y) be the solution of the differential equation y^2 ext{ }dx + egin{pmatrix}x - rac{1}{y} ext{ }dy = 0 ight.. If x(1) = 1, then xegin{pmatrix} rac{1}{2} ight) is :
Let z_1, z_2 and z_3 be three complex numbers on the circle |z| = 1 with \arg(z_1) = \frac{-\pi}{4}, \arg(z_2) = 0 and \arg(z_3) = \frac{\pi}{4}. If |z_1\bar{z}_2 + z_2\bar{z}_3 +
Let A be a square matrix of order 3 such that \det(A) = -2 and \det(3\operatorname{adj}(-6\operatorname{adj}(3A))) = 2^{m+n} \cdot 3^{mn}, m > n. Then 4m + 2n is equal to _______