List of practice Questions

In a reaction, A + B $\rightarrow$ Product, rate is doubled when the concentration of B is doubled and rate increases by a factor of 8 when the concentrations of both the reactants (A and B) are doubled. Rate law for the reaction can be written as
The supportive skeletal structures in the human external ears and in the nose tip are examples of
The unit of thermal conductivity is
A short solenoid of radius $a$, number of turns per unit length $n_{1}$ and length $L$ is kept coaxially inside a very long solenoid of radius $b$, number of turns per unit length $n_{2}$. What is the mutual inductance of the system?
Desalination of sea water can be done by
If the product of $n$ positive real numbers is one, then their sum is
The effective atomic number for $\left[R h\left(H_{2} O\right)_{6}\right]^{3+}$ (at. no. for $R h$ is $45$ ) is
A certain vector in the $x y$ plane has an $x$-component of $12\, m$ and a $y$-component of $8\, m$. It is then rotated in the $x-y$ plane so that its $x$-component is halved. Then ifs new $y$-component is approximately
Which of the two (i) compressing a gas isothermally until its volume is reduced by half (ii) compressing the same gas adiabatically until its volume is reduced by half, will require more work to be done?
Boron is unable to form $BF _{6}^{3}$ because of
$\frac {\sin 70^\circ\, +\cos 40^\circ} {\cos 70^\circ + \sin 40^\circ}$=
Water is flowing through a very narrow tube. The velocity of water below which the flow remains a streamline flow is known as
Number of atoms in 560 $cm^3$ of oxygen at S.T.P. is
The volume of $CO_2$ (in $cm^3$) liberated at S.T.P. when 1.06 g of anhydrous sodium carbonate is treated with excess of dilute HCl is [atomic mass of Na= 23]
The temperature of one mole of an ideal gas increases from 298 K when it absorbs 200 J of heat at constant volume. The change in the internal energy of the gas is
The enthalpy of neutralization of HCI and NaOH is x kJ. The heat evolved when 500 ml of 2 N HCl is mixed with 250 mt of 4 N NaOH will be
$ y =\tan^{-1} \left( \frac{1}{1+x+x^{2}} \right) + \tan ^{-1} \left( \frac{1}{x^{2}+3x+3} \right) + \tan ^{-1} \left( \frac{1}{x^{2}+5x+7} \right) + ......+ $ upto $n$ terms, then $ \frac{dy}{dx} $ at $x = 0$ and $n = 1$ is equal to
If $y = \sin^{2} \left(\tan^{-1} \sqrt{\frac{1-x^{2}}{1+x^{2}}}\right), $ then $\frac{dy}{dx}$ =
If $(4)^{\log_9 3} + (9)^{\log_2 4} = (10)^{\log_x 83}$, then X is equal to
If $\omega$ is a cube root of unity, then the value of determinant $\begin{vmatrix}1+\omega&\omega^{2}&\omega \\ \omega^{2} + \omega &-\omega &\omega^{2} \\ 1+\omega^{2} &\omega &\omega^{2} \end{vmatrix}$
IUPAC name of $ {[CrCl_2(NH3)4]NO_3}$ is
A particle executes simple harmonic motion with amplitude A. The distance moved by the particle in one oscillation is
The current in a coil changes from 1 mA to 5 mA in 4 ms. ? If the coefficient of self-inductance of the 'coil is 10 mH,. the magnitude of "self-induced" emf is?
The atomic number of the element with highest ionization energy among the following is
The heat of formation of $ {H_2O_{(l)}}$ is -286 kJ. The? heat of formation of $ { H_2O_{(g)}}$ is likely to be