List of practice Questions

The solubility of $BaSO _{4}$ in water is $2.42 \times 10^{-3}\, gL ^{-1}$ at $298 \,K$. The value of its solubility product $\left( K _{ sp }\right)$ will be (Given molar mass of $BaSO _{4}=233 \,g\, mol ^{-1}$ )
Match the metal ions given in Column I with the spin magnetic moments of the ions given in Column II and assign the correct code :
Column I Column II
a. $Co^{3+}$ i. $\sqrt{8} B.M$
b. $Cr^{3+}$ 11. $\sqrt{35} B.M$
c. $Fe^{3+}$ iii. $\sqrt{3} B.M$
d $Ni^{2+}$ iv $\sqrt{24} B.M$
v $\sqrt{15} B.M$
Which one of the following ions exhibits $d-d$ transition and paramagnetism as well ?
Given van der Waals constant for $NH _{3}, H _{2}, O _{2}$ and $CO _{2}$ are respectively $4.17, 0.244, 1.36$ and $3.59$, which one of the following gases is most easily liquefied?
Chipko Movement took place in
An astronomical refracting telescope will have large angular magnification and high angular resolution, when it has an objective lens of
What modulation index and side bands are produced when a message of frequency $ 10 \,kHz $ and peak voltage of $ 10 $ volts is used to modulate a carrier frequency of $ 1 \,MHz $ and peak voltage of 20 volts ?
The resistance of the platinum wire of a platinum resistance thermometer at the ice point is $ 5\,\Omega $ and at steam point is $ 5.23\,\Omega $ . When the thermometer is inserted in a hot bath, the resistance of the platinum wire will be $ 5.795\,\Omega $ . Calculate the temperature of the bath.
Calculate the molarity of a solution of $ 30\,g $ of $ Co(NO_3)_2.6H_2O $ in $ 4.3\, L $ of solution ? Consider atomic mass of $ Co = 59\, u $ , $ N = 14\, u $ , $ O = 16\,u $ , $ H = 1\,u $
If $\vec{a} , \vec{b} , \vec{c}$ are mutually perpendicular vectors having magnitudes 1, 2, 3 respectively, then $[\vec{a} + \vec{b} + \vec{c} \, \, \vec{b} - \vec{a} - \vec{c}] = ?$
If $2 \sin \left( \theta + \frac{\pi}{3}\right) = \cos \left( \theta -\frac{\pi}{6}\right) , $ then $\tan \, \theta = $
An electric bulb, a capacitor, a battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turned on ?
What will be the current flowing through the $6 \,K \Omega$ resistor in the circuit shown, where the breakdown voltage of the zener is $6\, V$ ?
On $R$, a relation $\rho$ is defined by $x \rho y$ if and only if $x - y$ is zero or irrational. Then
The value of the integral $I = \int\limits^{2014}_{1/2014} \frac{\tan^{-1} x}{x} dx $ is
The electrostatic force between the metal plate of an isolated parallel plate capacitor $C$ having charge $Q$ and area $A$, is
Consider the change in oxidation state of Bromine corresponding to different emf values as shown in the diagram below : is Then the species undergoing disproportionation is
All of the following are part of an operon except
If $f : R \to R$ be defined by $f(x) = e^x $ and $g : R \to R $ be defined by $g(x) = x^2$. The mapping $g of : R \to R $ be defined by $(g o f ) (x) = g[f(x)] \forall x \in R$ , Then
$C_4H_10 O { ->[{K_2Cr_2O_7}][{H_2SO_4}] }C_4H_5O { ->[{I_2/NaOH}][{\text{Warm}}] }CHI_3$ Here, N is
If aniline is treated with conc. $H_2SO_4$ and heated at $200^{\circ}C$, the product is
Ferric ion forms a Prussian blue precipitate due to the formation of
A compound formed by elements $X$ and $Y$ crystallizes in the cubic structure, where $X$ atoms are at the corners of a cube and $Y$ atoms are at the centres of the body. The formula of the compound is
The nucleus ${^{64}_{29}Cu}$ accepts an orbital electron to yield.
Select the INCORRECT statement with reference to DNA fingerprinting. It is _________