In Carius method, 0.75\text{ g} of an organic compound gave 1.2\text{ g} of barium sulphate, find percentage of sulphur (molar mass 32\text{ g mol}^{-1}). Molar mass of barium sulp
Given below are two statements : Statement I : The number of species among \mathrm{SF_4}, \mathrm{NH_4^+}, [\mathrm{NiCl_4}]^{2-}, \mathrm{XeF_4}, [\mathrm{PtCl_4}]^{2-}, \mathrm{S
An organic compound (P) on treatment with aqueous ammonia under hot condition forms compound (Q) which on heating with \mathrm{Br_2} and \mathrm{KOH} forms compound (R) having mole
Which of the following represents the correct trend for the mentioned property ? A. \mathrm{F > P > S > B} - First Ionization Energy B. \mathrm{Cl > F > S > P} - Electron Affinity
From the following, the least stable structure is :
Elements \mathrm{P} and \mathrm{Q} form two types of non-volatile, non-ionizable compounds \mathrm{PQ} and \mathrm{PQ_2}. When 1\text{ g} of \mathrm{PQ} is dissolved in 50\text{ g}
Identify A in the following reaction.
Given below are two statements : Statement I: The number of pairs among [\mathrm{SiO_2}, \mathrm{CO_2}], [\mathrm{SnO}, \mathrm{SnO_2}], [\mathrm{PbO}, \mathrm{PbO_2}] and [\mathrm
An organic compound " \mathrm{P} " of molecular formula \mathrm{C_6H_{12}O_3} gives positive Iodoform test but negative Tollen's test. When "\mathrm{P}" is treated with dilute acid
For the reaction, \mathrm{N_2O_4 \rightleftharpoons 2NO_2}, graph is plotted as shown below. Identify correct statements. A. Standard free energy change for the reaction is -5.40\t
14.0\text{ g} of calcium metal is allowed to react with excess \mathrm{HCl} at 1.0\text{ atm} pressure and 273\text{ K}. Which of the following statements is incorrect? [Given : Mo
\mathrm{MnO_4^{2-}}, in acidic medium, disproportionates to :
Consider the following reactions. \mathrm{PbCl_2 + K_2CrO_4 \rightarrow A + 2KCl} (Hot solution) \mathrm{A + NaOH \rightleftharpoons B + Na_2CrO_4} \mathrm{PbSO_4 + 4CH_3COONH_4 \r
Given below are two statements : Statement I : Among [\mathrm{Cu(NH_3)_4}]^{2+}, [\mathrm{Ni(en)_3}]^{2+}, [\mathrm{Ni(NH_3)_6}]^{2+} and [\mathrm{Mn(H_2O)_6}]^{2+}, [\mathrm{Mn(H_
Identify correct statements from the following : A. Propanal and propanone are functional isomers. B. Ethoxyethane and methoxypropane are metamers. C. But-2-ene shows optical isome
Given below are two statements : Statement I: When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited hydroge
Identify the correct statements. A. Arginine and Tryptophan are essential amino acids. B. Histidine does not contain heterocyclic ring in its structure. C. Proline is a six membere
A hydrocarbon ' \mathrm{P} ' (\mathrm{C_4H_8}) on reaction with \mathrm{HCl} gives an optically active compound ' \mathrm{Q} ' (\mathrm{C_4H_9Cl}) which on reaction with one mole o
The \mathrm{pH} and conductance of a weak acid (\mathrm{HX}) was found to be 5 and 4 \times 10^{-5}\text{ S}, respectively. The conductance was measured under standard condition us
Pre-exponential factors of two different reactions of same order are identical. Let activation energy of first reaction exceeds the activation energy of second reaction by 20\text{
Let the mean and variance of 7 observations 2, 4, 10, x, 12, 14, y, x > y, be 8 and 16 respectively. Two numbers are chosen from \{1, 2, 3, x - 4, y, 5\} one after another without
Let f : \mathbf{R} \rightarrow (0, \infty) be a twice differentiable function such that f(3) = 18, f'(3) = 0 and f''(3) = 4. Then evaluate: \lim_{x \to 1} \left(\log_e\left(\frac{f
The value of \operatorname{cosec} 10^\circ - \sqrt{3}\sec 10^\circ is equal to :
The sum of all the roots of the equation (x - 1)^2 - 5|x - 1| + 6 = 0, is :
The value of \int_{-\pi/6}^{\pi/6} \left(\frac{\pi + 4x^{11}}{1 - \sin(|x| + \pi/6)}\right) dx is equal to :
Let a_1, a_2, a_3, \dots be a G.P. of increasing positive terms such that a_2 \cdot a_3 \cdot a_4 = 64 and a_1 + a_3 + a_5 = \frac{813}{7}. Then a_3 + a_5 + a_7 is equal to:
Let y = y(x) be the solution curve of the differential equation (1 + x^2) dy + (y - \tan^{-1} x) dx = 0, with initial condition y(0) = 1. Then find the value of y(1).
If the domain of the function f(x) = \cos^{-1}\left(\frac{2x-5}{11-3x}\right) + \sin^{-1}(2x^2 - 3x + 1) is the interval [\alpha, \beta], then \alpha + 2\beta is equal to:
Let a point \mathrm{A} lie between the parallel lines L_1 and L_2 such that its distances from L_1 and L_2 are 6 and 3 units, respectively. Then the area (in sq. units) of the equi
If x^2 + x + 1 = 0, then the value of \left(x + \frac{1}{x}\right)^4 + \left(x^2 + \frac{1}{x^2}\right)^4 + \left(x^3 + \frac{1}{x^3}\right)^4 + \dots + \left(x^{25} + \frac{1}{x^{