List of practice Questions

Which of the following compound is most acidic ?
Equilibrium constants $K_1$, and $K_2$ for the following equilibria I. $NO _{( g )}+\frac{1}{2} O _{2( g )} \rightleftharpoons NO _{2( g )}$ II. $2 NO _{2( g )} \rightleftharpoons 2 NO _{( g )}+ O _{2( g )}$ are related as :
The half-life period of a order reaction is 60 minutes What percentage will be left over after 240 minutes ?
Consider an optical system consisting of a concave mirror $ M_1 $ and convex mirror $ M_2 $ of radii of curvature $ 60 \,cm $ and $ 20\, cm $ , respectively. Two mirrors are separated by a distance of $ 40\, cm $ . An object $ O $ is placed at a distance $ 80\, cm $ from $ P $ . The final image is formed at a distance
The spin only magnetic moment $ (\mu_s) $ of a complex $ [Mn(Br_4)]^{4-} $ is $ 5.9\, BM $ . The geometry of the complex will be
The maximum value of $\left( \frac{1}{x} \right)^x$ is
If $A= \frac {1} { \pi}\begin{bmatrix} \sin^{-1} (\pi x) & \tan^{-1} (\frac {x}{\pi}) \\[0.3em] \sin^{-1}\frac {x}{\pi}& \cot^{-1}(\pi x) \end{bmatrix}$ , $B= \frac {1} { \pi}\begin{bmatrix} -\cos^{-1} (\pi x) & \tan^{-1} (\frac {x}{\pi}) \\[0.3em] \sin^{-1}(\frac {x}{\pi})& -\tan^{-1}(\pi x) \end{bmatrix}$ then $A - B$ is equal to
The length of latus rectum o f the parabola $4y^2 + 3x + 3y + 1 = 0$ is
The value of $\int \frac{e^{6 \log x} -e^{5 \log x}}{e^{4 \log x} - e^{3 \log x}} dx$ is equal to
The value of the $\sin \; 1^{\circ} + \sin \; 2^{\circ} +......+ \sin 359^{\circ}$ is equal to
As per $IUPAC$ norms, the name of the complex $[Co(en)_2(ONO)Cl]Cl$ is
An organic compound X is oxidised by using acidified $K_2Cr_2O_7$ solution. The product obtained reacts with phenyl hydrazine but does not answer silver mirror test. The compound X is,
The shape of $XeF_6$ is,
A capacitor of capacitance $10\, \mu F$ is connected to an $AC$ source and an $AC$ Ammeter. If the source voltage varies as $V = 50 \sqrt{2} \, \sin \, 100 t$, the reading of the ammeter is
Nature of equipotential surface for a point charge is
The hottest region of Bunsen flame shown in the figure below is :
Which of the following is incorrect in a galvanic cell ?
Effective resistance between $A$ and $B$ in the following circuit
Four metal plates are arranged as shown. Capacitance between $X$ and $Y (A \to$ Area of each plate, $d \to$ distance between the plates)
If $\vec{a}$ and $\vec{b}$ are unit vectors then what is the angle between $\vec{a}$ and $\vec{b}$ for $\sqrt{3} \, \vec{a} - \vec{b}$ to be unit vector ?
Van-Arkel method of refining Zirconium involves,

When an electrolyte is dissociated in solution, the van't Hoff factor \((i)\) is,

A metallic wire of cross sectional area $ 4 \, mm^{2} $ carries a current of $ 3.2 \, A $ . If $ 5 \times 10^{26} $ charge carriers flow across the wire per unit volume, then their drift velocity in $ m \,s^{-1} $ is
For hydrogen-oxygen fuel cell, the cell reaction is \(2H_2(g)+O_2(g)\rightarrow2H_2O(I)\), If \(\triangle{G}\degree_{f}(H_2O)=-237.2KJmol^{-1}\) then emf ofthis cell is
Group 15 elements have more electron gain enthalpy than group 16-elements. The correct reason for this is