List of practice Questions

Consider the following four compounds I, II, III and IV. Choose the correct statement(s)

order of basicity

The $1^{\text {st }}, 2^{\text {nd }}$, and the $3^{\text {rd }}$ ionization enthalpies, $I_{1}, I_{2}$, and $I_{3}$, of four atoms with atomic numbers $n, n+1$, $n+2$, and $n+3$, where 𝑛 < 10, are tabulated below. What is the value of n?

Atomic Number	Ionization Enthalpy (kJ/mol)
Atomic Number	I₁	I₂	I₃
n	1681	3374	6050
n+1	2081	3952	6122
n+2	469	4562	6910
n+3	738	1451	7733

The structure of a peptide is given below:

peptide

If the absolute values of the net charge of the peptide at $pH =2, pH =6$, and $pH =11$ are $\left| z _{1}\right|,\left| z _{2}\right|$, and $\left| z _{3}\right|$, respectively, then what is $\left|z_{1}\right|+\left|z_{2}\right|+\left|z_{3}\right|$ ?

Which of the following plots is (are) correct for the given reaction? ([P] $_{0}$ is the initial concentration of $P$ )

the initial concentration of P

If a line makes an angle of $\pi/3$ with each of $x$ and and $y$-axis, then the acute angle made by $z$-axis is

A uniform electric field, E=-400\(\sqrt3\vec{Y}\)YNC^-1is applied in a region. A charged particle of mass m carrying positive charge q is projected in this region with an initial speed of 2√10 × 10⁶ ms⁻¹. This particle is aimed to hit a target T, which is 5 m away from its entry point into the field schematically in the figure. Take \(\frac{q}{m}\) = 10¹⁰ckg^-1.

A uniform electric field

\(cos 201° cos 202° cos 203°.........cos 300°=\)

If the curves $2x = y^2$ and $2xy = K$ intersect perpendicularly, then the value of $K^2$ is

The distance of the point (1, 2, -4) from the line $\frac{x-3}{2} = \frac {y-3}{3} = \frac {z+5}{6}$ is

The standard deviation of the data $6, 7, 8, 9, 10$ is

if $(xe)^y = e^x$, then $\frac{dy}{dx}$ is =

The maximum value of $\frac{log_ex}{x}$, if x > 0 is

If $y = 2x^{n+1} + \frac {3}{x^n}$ ,then $x^2 \frac{d^2y}{dx^2}$ is

Dissolution of the synaptonemal complex occurs during:

Bt cotton variety that was developed by the introduction of toxin gene of Bacillus thuringiensis (Bt) is resistant to

The value of $\int^{\frac{1}{2}}_{-\frac{1}{2}}cos^{-1}xdx$ is

The feasible region of an LPP is shown in the figure. If $Z = 11x + 7y$, then the maximum value of $Z$ occurs at

The general solution of the differential equation $x^2dy - 2xydx = x^4\cos\,x\, dx$ is

In the chemical reaction between stoichiometric quantities of $KMnO _{4}$ and $KI$ in weakly basic solution, what is the number of moles of $I _{2}$ released for $4$ moles of $KMnO _{4}$ consumed?

Consider the following transformations of a compound $P$

transformations of a compound

Choose the correct option(s)

Liquid $A$ and $B$ form ideal solution for all compositions of $A$ and $B$ at $25^{\circ} C$. Two such solutions with $025$ and $050$ mole fractions of $A$ have the total vapour pressures of $03$ and $04$ bar, respectively. What is the vapour pressure of pure liquid $B$ in bar?

A metal exists as an oxide with formula $M_{0.96}O$. Metal $M$ can exist as $M^{2+}$ and $M^{3+}$ in its oxide $M_{0.96}O$. The percentage of $M^{3+}$ in the oxide is nearly

Events $E_1$ and $E_2$ from a partition of the sample space S. A is any event such that $P(E_1) = P(E_2) = \frac{1}{2}, P(E_2/A) = \frac{1}{2}$ and $P(A/E_2)=\frac{2}{3}$, then $P(E_1/A) $ is

If $A = \{a,b,c\}$, then the number of binary operations on $A$ is

The Fischer projection of D-erythrose is shown below.

Fischer projection of D-erythrose

D-Erythrose and its isomers are listed as P, Q, R, and S in Column-I. Choose the correct relationship of P, Q, R, and S with D-erythrose from Column II.

D-Erythrose and its isomers

D-Erythrose and its isomers