List of practice Questions

The average power dissipated in a pure capacitance $AC$ circuit is

The number of molecules in $18 \,mg$ of water in terms of Avogadro number $N$ is

The set of quantum numbers $ n=4,l=0 $ and $ s=+\frac{1}{2} $ correspond to the most loosely bound, ground state electron of which one of the following atoms?

In a transistor, the base is

Which one of the following is aromatic?

The solubility product of a sparingly soluble metal hydroxide $M ( OH )_{2}$ at $298 \,K$ is $5 \times 10^{-16} mol ^{3} d m^{-9}$. The $pH$ value of its aqueous and saturated solution is

In AC circuit Ohm's law is applicable for

Parkinson's disease is linked to abnormalities in the levels of dopamine in the body. The structure of dopamine is

Aluminium reacts with NaOH and forms compound 'X'. If the coordination number of aluminium in 'X' is 6, the correct formula of X is

If the equation $ (a+1){{x}^{2}}-(a+2)x+(a+3)=0 $ has roots equal in magnitude but opposite in signs, then the roots of the equation are

The bacteriostatic antibiotic among the following is

The shortest wavelength of $X$-rays coming from an $X$-ray tube depends on the

The total number of acyclic structural and optical isomers possible for a hydrocarbon of molecular formula $ C_{7}H_{16} $ is

In Young's double slit experiment, the fringe width with light of wavelength $6000 \,?$ is $3 \,mm$. The fringe width, when the wavelength of light is changed to $4000 \,?$ is

The correct vector relation between linear velocity $ \vec{v} $ and angular velocity $ \vec{\omega } $ in rigid body dynamics is ( where $ \vec{r} $ is the position vector)

In which one of the following equilibria, the increase of pressure over the equilibrium will favour the reaction?

The maximum range of a projectile is $ 100\,m $ . The maximum height reached by it is

If $ (3,\,\,3) $ is a vertex of a triangle and $ (-3,\,\,6) $ and $ (9,\,\,6) $ are the mid points of the two sides through this vertex, then the centroid of the triangle is

When an excess and a very dilute aqueous solution of $ KI $ is added to a very dilute aqueous solution of silver nitrate, the colloidal particles of silver iodide are associated with the Helmholtz double layer

The given figure gives electric lines of force due to two charges $ q_{1}$ and $q_{2}$ . What are the signs of the two charges?

If the electron in a hydrogen atom jumps from an orbit with level $n_{1} =2$ to an orbit with level $n_{2} =1$ the emitted radiation has a wavelength given by

If$\vec{a}+2\vec{b}+3\vec{c}=\vec{0}$ then $\vec{a} \times \vec{b}+\vec{b} \times \,\vec{c}+\vec{c} \times \vec{a} $ =

Lattice energy of an ionic compound depends upon

If $x$ is numerically so small so that $x^{2}$ and higher powers of $x$ can be neglected, then $\left(1+\frac{2 x}{3}\right)^{3 / 2} \cdot(32+5 x)^{-1 / 5}$ is approximately equal to

The coefficient of $x^{24}$ in the expansion of $\left(1+x^{2}\right)^{12}\left(1+x^{12}\right)\left(1+x^{24}\right)$ is