List of practice Questions

Peptization is a :

The plane which bisects the line segment joining the points (-3,-3,4) and (3,7,6) at right angles, passes through which one of the following points ?

The primary pollutant that leads to photochemical smog is :

Two plane mirrors arc inclined to each other such that a ray of light incident on the first mirror $(M_1)$ and parallel to the second mirror $(M_2)$ is finally reflected from the second mirror $(M_2)$ parallel to the first mirror $(M_1)$. The angle between the two mirrors will be :

The correct statements among I to III are : (I) Valence bond theory cannot explain the color exhibited by transition metal complexes. (II) Valence bond theory can predict quantitatively the magnetic properties of transtition metal complexes. (III) Valence bond theory cannot distinguish ligands as weak and strong field ones.

The amount of sugar $ {(C_{12}H_{22}O_{11})}$ required to prepare $2\, L$ of its $0.1\, M$ aqueous solution is :

If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction ${Zn(s) + cu^{2+} (aq) <=> Zn^{2+} (aq) + Cu(s)}$ at 300 K is approximately. ${(R = 8 \; JK^{-1} \; mol^{-1} , F = 96000 \; C \; mol^{-1})}$

The plane through the intersection of the planes $x + y + z = 1$ and $2x + 3y - z + 4 = 0$ and parallel to y-axis also passes through the point :

Two integers are selected at random from the set {1, 2,...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :

A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights $h_{sph}$ and $h_{cyl}$ on the incline. The ratio $\frac{h_{sph}}{h_{cyl}}$ is given by :

The sum $1+ \frac{1^{3} +2^{3}}{1+2} + \frac{1^{3}+2^{3}+3^{3}}{1+2+3} +.... + \frac{1^{3} +2^{3}+3^{3} +....+15^{3}}{1+2+3+...+15} - \frac{1}{2} \left(1+2+3+...+15\right)$

Maximum kinetic energy gained by the charged particle in the cyclotron is independent of

Where is respiratory electron transport system (ETS) located in plants ?

Which colour of the light has the longest wavelength?

In the Hall-Heroult process, aluminium is formed at the cathode. The cathode is made out of :

The IUPAC name of the following compound is :

Let $Z$ be the set of integers. If $A \, = \, \{ x \in Z : 2^{ (x+2) (x^2 - 5x + 6)} \}=1$ and $B \, = \, \{ \, x \in Z: -3 <2x -1 <9 \}$, then the number of subsets of the set $A \times B$, is :

Water flows into a large tank with flat bottom at the rate of $10^{-4} \; m^3 s^{-1}$. Water is also leaking out of a hole of area $1\, cm^2$ at its bottom. If the height of the water in the tank remains steady, then this height is :

A body of mass $1\, kg$ falls freely from a height of $100\, m$ on a platform of mass $3\, kg$ which is mounted on a spring having spring constant $k = 1.25 \times 10^6 \; N/m$. The body sticks to the platform and the spring's maximum compression is found to be $x$. Given that $g = 10 \; ms^{-2}$, the value of $x$ will be close to :

An organic compound 'X' showing the following solubility profile is -

For coagulation of arscnious sulphide sol, which one of the following salt solution will be most effective ?

In comparison to boron, berylium has :

Let $A$ and $B$ be two invertible matrices of order $3 \times 3$. If $\text{det} (ABA^T) = 8$ and $\text{det} (AB^{-1}) = 8$, then $\text{det} (BA^{-1} BT) $ is equal to :

A solid having density of $9 \times 10^3 \; kg \; m^{-3}$ forms face centred cubic crystals of edge length $200 \sqrt{2}$ pm. What is the molar mass of the solid ? [Avogadro constant $\simeq 6 \times 10^{23} \, mol^{-1}, \pi \simeq 3]$

Good reducing nature of ${H_3PO_2}$ ttributed to the presence of: