Basic Mathematical And Analytical Chemistry - Chemistry MCQ

A gas ‘X’ is passed through water to form a saturated solution. The aqueous solution on treatment with silver nitrate gives a white precipitate. The saturated aqueous solution also dissolves magnesium ribbon with evolution of a colorless gas ‘y’. Identify ‘X’ and ‘Y’:

Brown ring test for nitrates depends upon:

Find the eigen value of the following 3 × 3 matrix given that 2 is one of the eigen values. Compute the determinant of the matrix using the eigen values:

For square matrices M and N, if NM = M and NM = N, then:

Value of the given determinant is:

Which one of the following is an identity matrix?

The value of integral 

A reagent used to test presence of Fe⁺² ion is:

An aqueous solution of substance gives a white precipitate on treatment with dil. HCl which dissolves on heating. When H₂S is passed through the hot acidic solution a black ppt. is obtained.The substance is:

Bi(dmg)₂ complex has following color?

When H₂S gas is passed through the HCl containing aqueous solution of CuCl₂, HgCl₂, BiCl₃ and CoCl₂, which does not precipitate out:

A mixture when heated with conc H₂SO₄ with MnO₂ brown fumes are formed due to:

X and Y transformed co-ordinates obtained from p and q as follows:

The correct set of linear equations that represent X and Y are:

Two matrices are given as X  If X^T is the transpose of X, then, calculate X^TY?

The scalar product of two vectors u and v, where u 

The function y = x exp (-x² ) has a minimum at x =- 1/√2. The second derivation of the function at the minimum is:

 is a differential equation for a/an:

With K₄[Fe(CN)₆], Cu  ion gives:

Nesseler’sraegant i s:

What product is formed by mixing the solution of K₄[Fe(CN)₆] with the solution of FeCl₃ :

Which is the correct structure of Alizarin adsorption indicator:
 

Mn⁺² ions in presence of S^2– gives a precipitate of following color?

A vector  is rotated through an angle and is also doubled in magnitude resulting in  An acceptable value of x is:

  where h, π, m and α are constant. C is:

The maximum of a function Ae^-ax2 (A < 0, a> 0) is at x = ?

The matrix which transforms

Which of the following is not a solution of the equation: