Vapour pressures of chloroform \(\left( CHCl _3\right)\) and dichloromethane \(\left( CH _2 Cl _2\right)\) at 298 K are 200 mmHg and 415 mmHg , respectively. Calculate the vapor pressure of the solution prepared by mixing 0.2 mol of \(CHCl _3\) and 0.5 mol of \(CH _2 Cl _2\) at 298 K

The standard reduction potential of \(Ag ^{+} / Ag^{-}\) electrode is \(+0.80 V\)
Choose the correct statement based on this information.

Match List-I with List-II

List-I	List-II
(A) Catalysts alter the rate of reaction	(I) cannot be fraction or zero
(B) Molecularity	(II) by lowering the activation energy
(C) Second half life of a first order reaction	(III) is the same as the first
(D) \(e^{-E_a / R T}\)	(IV) refers to the fraction of molecules with energy equal to or greater than activation energy

Choose the correct answer from the options given below:

what is Mohr's salt colour ?

Gabriel synthesis is used for the synthesis of:

Werner was the first to describe the bonding features in coordination compounds. But his theory could not answer basic questions like :
(i) Why only certain elements possess the remarkable property of forming coordination compounds ?
(ii) Why the bonds in coordination compounds have directional properties ?
(iii) Why coordination compounds have characteristics magnetic and optical properties ?
Many approaches have been put forth to explain the nature of bonding in coordination compounds vix. Valence Bond Theory (VBT), Crystal Field Theory (CFT), Ligand Field Theory (LFT) and Molecular Orbital Theory (MOT).
We shall focus our attention on elementary treatment of the application of VBT and CFT to coordination compounds.
According to this theory, the metal atom or ion under the influence of ligands can use its ( \(n -1\) )d, ns np or ns, np, nd orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on.
These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding.
Predict the type of hybridisation state in \(\left[ CoF _6\right]^{3-}\)

The decreasing order of basicity of following amines in aqueous phase ;
(A) N, N-Dimethylmethamine
(B) Methanamine
(C) N-Ethylethanamine
(D) Phenylmethanamine
Choose the correct answer from the options given below :

The half life of a first order reaction having rate constant, \(k=1.7 \times 10^{-5} s^{-1}\) is

A wire of resistance \( 18 \, \Omega \) is bent in the form of an equilateral triangle. The effective resistance between any two corners of the triangle is :

Match List-I with List-II

List-I	List-II
(A) The equation of the line passing through the points \((-1,0,2)\) and \((3,4,6)\) is	(I) \(\vec{r}=(-\hat{i}+2 \hat{k})+\lambda(4 \hat{i}+4 \hat{j}+4 \hat{k})\)
(B) The vector equation of the line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{4-z}{5}\) is	(II) \(\vec{r}=(\hat{i}+3 \hat{j}+2 \hat{k})+\lambda(2 \hat{i}+\hat{j}+3 \hat{k})\)
(C) The equation of the line passing through \((1,3,2)\) and parallel to \(\frac{x+1}{2}=\frac{y-1}{1}=\frac{z+1}{3}\) is	(III) \(\vec{r}=(-\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(2 \hat{i}+\hat{j}+4 \hat{k})\)
(D) The equation of the line along \(2 \hat{i}+\hat{j}+4 \hat{k}\) and passing through \((-1,2,3)\) is	(IV) \(\vec{r}=(\hat{i}-\hat{j}+4 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}-5 \hat{k})\)

where \(\lambda\) is an arbitrary constant.
Choose the correct answer from the options given below:

Match List-I with List-II for a cyclotron

LIST I	LIST II
(A) Frequency of revolution of charged particle	(I) Bqv
(B) Velocity of charged particle	(II) \(\frac{q^2 B^2 R^2}{2m}\)
(C) Kinetic energy of charged particle	(III) \(\frac{qBR}{m}\)
(D) Force on charged particle when it is inside	(IV) \(\frac{B q}{2 \pi m}\)

The simplest form of \(\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right), x \neq 0\) is:

Identify the type of defect in the above solid. (The image for the 'above solid' is missing but question asks to identify defect in 'the above solid')