List of practice Questions

The volume correction factor for a non-ideal gas in terms of critical pressure ($p_c$), critical molar volume ($V_c$), critical temperature ($T_c$), and gas constant ($R$) is

The CORRECT statement regarding the molecules BF$_3$ and CH$_4$ is

Reaction of BCl$_3$ with NH$_4$Cl at 140 °C produces compound P. Further, P reacts with NaBH$_4$ to give a colorless liquid Q. The reaction of Q with H$_2$O at 100 °C produces compound R and a diatomic gas S. Among the following, the CORRECT statement is

The complex that does NOT obey the 18-electron rule is (Given: Atomic numbers of Ti, Mn, Ta and Ir are 22, 25, 73 and 77, respectively)

Hybridization of the central atoms in I$_3^-$, ClF$_3$ and SF$_4$, respectively, are

The decreasing order of C=C bond length in the following complexes is \[ \text{I: [Cl$_3$Pt(CH$_2$=CH$_2$)]}^- \quad \text{II: [Cl$_3$Pt(C(CN)$_2$=C(CN)$_2$)]}^- \quad \text{III: [Cl$_3$Pt(CF$_2$=CH$_2$)]}^- \quad \text{IV: [Cl$_3$Pt(CF$_2$=CF$_2$)]}^- \]

Two sets of quantum numbers with the same number of radial nodes are

A, B and C, a startup business, each investing rs. 20,000. After five months, A withdraw 5000. B rupees 4000 and C invested rupees 6000 more. At the end of the year, a total profit of rs 69900 was recorded. What is the share of B ?

The velocity of blood in a blood vessel of 2.0 cm radius is 30 cm/s. When the blood vessel bifurcates into 2 smaller vessels of radius 1.0 cm each, the velocity of blood in each of the smaller vessels is ______ cm/s. Assume vessel walls are rigid, and blood is incompressible.

The equation $\sin \frac{\theta}{2}\, (\sin \frac{\theta}{2} + \cos \frac{\theta}{2}) = \beta$ has a solution, where $\beta$ is a natural number. Then $\beta$ is ______.

In the circuit shown below, the power dissipated across the 3$\Omega$ resistor is ______ W.

The number of chiral carbons in strychnine is ______.

A function $f : D \to \mathbb{R}$ is defined as $f(x) = \dfrac{x^2 + 1}{x^2 + x + 1}$ where $D \subseteq \mathbb{R}$ is the domain. The domain(s) on which the function $f(x)$ is one-to-one is/are

Oleic acid, shown below, is

Match the cell junctions listed in Group A with their correct functions listed in Group B:

The value of the integral $\int_0^4 (x - f(x))\,dx$, where

is:

If $x + \dfrac{1}{x} = 1$, then the value of $x^6 + \dfrac{1}{x^6}$ is

Which one of the following represents the motion of an object with a positive acceleration?

Which one of the following isomers is thermodynamically most stable?

Which one of the following is the major product of the hydrogenation reaction given below?

The following methylation is carried out in various solvents such as benzene, tetrahydrofuran (THF), dimethoxyethane (DME), dimethyl sulfoxide (DMSO) and N,N-dimethylformamide (DMF). Which one of the following is TRUE for the effect of solvent on the reaction rate?

IUPAC name of the following molecule is