List of practice Questions

An ammeter reads upto $1$ ampere. Its internal resistance is $0.81\, ohm$. To increase the range to $10\, A$ the value of the required shunt is
A resistor is constructed as hollow cylinder of dimensions $ {{r}_{a}}=0.5\,cm $ and $ {{r}_{b}}=1.0\,cm $ and $ \rho =3.5\times {{10}^{-5}}\Omega m $ . The resistance of the configuration for the length of 5 cm cylinder is ... $ \times {{10}^{-3}}\Omega $ .
What would be the freezing point of aqueous solution containing $17\, g$ of $C _{2} H _{5} OH$ in $1000\, g$ of water?
Azeotropic mixture of $ HCl $ and water has:
The ionic strength of a solution containing 0.1 mole/kg of KCl and 0.2 mole/kg of $CuSO_4$ is
What is the effect of dilution on the equivalent conductance of strong electrolyte?
For a particle executing SHM the displacement x is given by x = A cos $\omega t$. Identify the graph which represents the variation of potential energy (PE) as a function of time t and displacement x.
Two springs of force constants $k$ and $2k$ are connected to a mass as shown below. The frequency of oscillation of the mass is
A mass of $30 \,kg$ is suspended from a spring of spring constant $15\, N/m$. The time period of vertical oscillations of mass is
The velocity of a particle in S.H.M. at displacement y from mean position is ( $ a= $ amplitude $ \omega = $ angular frequency)
In first order reaction, the concentration of reactant decreases from $800\, mol\, cm ^{-3}$ to $50\, mol\, cm ^{-3}$ in $2 \times 10^{4} s$. The rate constant is
Volume of $ C{{O}_{2}} $ obtained from complete decomposition of $ 20\,\,g\,\,CaC{{O}_{3}} $ at STP is:
When potassium dichromate crystals are heated, we get
$n$ identical spherical drops each of radius $r$ are charged to same potential $V$. They combine to form a bigger drop. The potential of the big drop will be :
An electric dipole placed in a nonuniform electric field experiences
Which one of the following metal is used in galvanization?
A capillary tube of radius $r$ can support a liquid of weight $6.28 \times 10^{-4} \,N$. If the surface tension of the liquid is $5 \times 10^{-2} \,N / m$. The radius of capillary must be
Which of the following are isoelectronic and isostructural ? $NO_3^-$, $CO_3^{2-}$, $ClO_3^{-}$, $SO_3$
If $1,\omega,\omega^2$ are the cube roots of unity, then $\Delta=\begin{vmatrix} 1&\omega^n &\omega^{2n} \\[0.3em] \omega^n &\omega^{2n} & 1 \\[0.3em] \omega^{2n} &1& \omega^n \end{vmatrix}$ is equal to
A charge $q$ is placed at the centre of line joining two equal point charges each equal to $+Q$. The system of $3$ charges will be in equilibrium if $q$ is equal to
In the circuit shown, the effective capacitance between A and B is
The correct order of stability of carbocations, is:
The $ IUPAC $ name of the following compound is:
Strongest nucleophile is:
Magnetic permeability is maximum for: