List of practice Questions

By simplifying the expression: $$ i^{18} - 3i^7 + i^2(1 + i^4)(i^{22}) $$ we get:
Find the values of $ x $ for which the expressions $$ \sin x + i\cos 2x \quad \text{and} \quad \cos x - i\sin 2x $$ are conjugate to each other.
The locus of a point $ z $ satisfying: $$ |z|^2 = \text{Re}(z) $$ is a circle with centre:
Which of the following is formed when SO3 is absorbed by concentrated H2SO4?
The crystal field theory is successful in explaining which of the following?
A ball is projected from the ground into the air. At a height of 5 m, its velocity is \( \vec{v} = (5 \hat{i} + 5 \hat{j}) \, \text{m/s} \). The maximum height reached by the ball is: \( (g = 10 \, \text{m/s}^2) \)
If $f(x) = \begin{cases} \dfrac{x^2 \log(\cos x)}{\log(1+x)}, & x \neq 0 \\ 0, & x = 0 \end{cases}$, then at $x=0$, $f(x)$ is
Let $f(x) = \begin{cases} \dfrac{1}{|x|}, & |x|>1 \\ ax^2 + b, & |x| \leq 1 \end{cases}$. If $\lim_{x \to 1} f(x)$ and $\lim_{x \to -1} f(x)$ exist, then the possible values for $a$ and $b$ are
In semiconductors, which of the following are true:
Identify the major product of the following reaction: bromination of aniline (Br2} + NaOH).
bromination of aniline (Br2 + NaOH).
Finkelstein reaction is used for the synthesis of
Which among the following will have highest density?
Identify the major product (Y) from the following reaction.
major product (Y) from the following reaction
An aryl carboxylic acid on treatment with sodium hydrogen carbonate liberates a gaseous molecule. Identify the gas molecule liberated.
The macromolecular colloids of the following are:
Assertion (A): Animal skins are colloidal in nature.
Reason (R): Animal skin has positively charged particles.
In the reaction of phosphorous with conc. HNO3, the oxidized and reduced products respectively are
Assertion (A): Transition metals and their complexes show catalytic activity.
Reason (R): The activation energy of a reaction is lowered by the catalyst.
The hybridizations of carbon in graphite, diamond and C60 are respectively
The major product of the following reaction is (Grignard Reagent with D2}O)
Grignard Reagent with D2O
Identify the ortho and para directing groups towards aromatic electrophilic substitution reactions from the following list: -OH, -CN, COOH, -OCH3, -NHCOCH3, -CHO
Match List I with List II:
Which of the following solids is not a molecular solid?
A solution containing 6.0 g of urea is isotonic with a solution containing 10 g of a non-electrolytic solute X. The molar mass of X (in g mol\textsuperscript{-1}) is
x% (w/v) solution of urea is isotonic with 4% (w/v) solution of non-volatile solute of molar mass 120 g mol-1. The value of x is