List of practice Questions

In the complex ion $\left[Cu\left(CN\right)_{4}\right]^{3-}$ the hybridization state, oxidation state and number of unpaired electrons of copper are respectively

If the equation $x^2 + y^2 -10x + 21 = 0$ has real roots $x = a$ and $y=\beta$ then

From Brewster�s law, except for polished metallic surfaces, the polarising angle

If $r. v. x :$ waiting time in minutes for bus and $p.d.f.$ of $x$ is given by $f(x) = \begin{cases} \frac{1}{5} , & 0\le x\le5 \\[2ex] 0, & \text{otherwise} \end{cases}$ then probability of waiting time not more than $4$ minutes is = _______

For $N^{3-} >O^{2-}>F^{-} and Na^{+},$ the order in which their ionic radii varies is

The maximum number of 2p electrons with electronic spin $=-\frac{1}{2}$ are

Which of the following is the correct option for free expansion of an ideal gas under adiabatic condition?

Two strings $A$ and $B$ of same material are stretched by same tension. The radius of the string $A$ is double the radius of string $B$. Transverse wave travels on string $A$ with speed ?$V_A$? and on string $B$ with speed ?$V_B$?. The ratio $\frac{V_{A}}{V_{B}}$ is

Wire having tension $225\, N$ produces six beats per second when it is tuned with a fork. When tension changes to $256\, N$, it is tuned with the same fork, the number of beats remain unchanged. The frequency of the fork will be

Which of the following is incorrect?

Which of the followings is invert sugar?

Work done in increasing the size of a soap bubble from a radius of $ 3 \,cm $ to $ 5 \,cm $ is nearly (surface tension of soap solution $ = 0.03\, Nm^{-1} $ ).

Two wires of equal cross section, but one made up of steel and the other copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. If (Y for steel = $2.0\times 10^{11}\,Nm^{-2}$ and $Y for copper = 1.1 \times 10^{11}\,Nm^{-2}$, the ratio of the lengths of the two wires is

The molecule which is linear is

If $ y = sec(tan^{-1}x) $ , then $ \frac{dy}{dx} $ at $ x = 1 $ is

For complexes $ [NiCl_4]^{2-} $ and $ Ni(CO)_4 $ which one of the following statement is true

If $ f(x) = \frac{x}{2} -1 $ then on the interval $ [0,\pi] $

Chemical formula for ?inorganic benzene? is

An ion with a charge of $ + 32 \times 10^{-19}C $ is in a region where a uniform electric field of $ 5 \times 10^4\, V/m $ is perpendicular to a uniform magnetic field of $ 0.8 \,T $ . If its acceleration is zero, then its speed must be

An ideal gas at pressure $ P $ is adiabatically compressed so that its density becomes $ n $ times the initial value. The final pressure of the gas will be $ \left(\gamma = \frac{C_{P}}{C_{V}}\right) $

A quantity of a substance in a closed system is made to undergo a reversible process from an initial volume of $ 3 \,m^3 $ and initial pressure $ 10^5\, N/m^2 $ to a final volume of $ 5\, m^3 $ . If the pressure is proportional to the square of the volume (i.e. $ p = AV^2 $ ), the work done by the substance will be

A polygon has $44$ diagonals. The number of its sides are

If origin is the centroid of a $ \Delta PQR $ with vertices $ P(2a,2,6),Q(-4,3b,- 10) $ and $ (8,14,2c) $ , then the value of $ a,b $ and $ c $ are respectively.

Given that the points $ P(3,2, - 4) $ , $ Q(5,4, - 6) $ and $ R(9,8,-10) $ are collinear, the ratio in which $ Q $ divides $ PR $ externally is

Consider the following propositions : p : I take medicine q : I can sleep Then, the compound statement $ \sim p \rightarrow \sim q $ means