If the volume of $15.9 \mathrm{g}$ of carbon tetrachloride is $10\mathrm{ml}$, calculate its density.

The correct order of decreasing acid strength of following acids is
(1) trichloro acetic acid
(2) trifluoro acetic acid
(3) acetic acid
(4) formic acid

Match List-I with List-II
\(\begin{array}{|c|l|l|l|}\hline & \text{List-I (Reaction)} & & \text{List-II (Enzyme)} \\ \hline \text{A.} & \begin{array}{l} \text{Hydrolysis of starch to} \\ \text{maltose}\end{array} & \text{I} & \text{Diastase} \\ \hline \text{B.} & \begin{array}{l} \text{Conversion of proteins} \\ \text{to peptides} \end{array} & \text{II} & \text{Pepsin} \\ \hline \text{C.} & \begin{array}{l} \text{Hydrolysis of sucrose} \\ \text{to glucose and fructose}\end{array} & \text{III} & \text{Invertase} \\ \hline \text{D.} & \text{Glucose to ethanol} & \text{IV} & \text{Zymase} \\ \hline\end{array}\)
The correct answer is

\[
\mathrm{CH}_3 \mathrm{MgBr}+\mathrm{CO}_2 \stackrel{\text { Dry ether }}{\longrightarrow} Y \stackrel{\mathrm{H}_3 \mathrm{O}^{\oplus}}{\longrightarrow} Z
\]
Identify \(Z\) from the following.

Match the following

The correct answer is

Identify the incorrect statements from the following.
I. For adiabatic process, \(\Delta \mathrm{U}=\mathrm{w}_{\mathrm{ad}}\)
II) Enthalpy is an intensive property
III) For the process, \(\mathrm{H}_2 \mathrm{O}(l) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{s})\), the entropy increases

Calcium phosphide reacts with water to form \(\mathrm{Ca}(\mathrm{OH})_2\) and \(X\). When \(X\) is passed into \(\mathrm{CuSO}_4\) solution. \(Y\) and \(\mathrm{H}_2 \mathrm{SO}_4\) are formed. What is \(Y\) ?

\(\vec{c}\) is a vector along the bisector of the internal angle between the vectors \(\vec{a}=4 \hat{i}+7 \hat{j}-4 \hat{k}\) and \(\vec{b}=12 \hat{i}-3 \hat{j}+4 \hat{k}\). If the magnitude of \(\vec{c}\) is \(3 \sqrt{13}\) then \(\vec{c}=\)

If \(\left|z_1\right|=1,\left|z_2\right|=2,\left|z_3\right|=3\) and \(\left|9 z_1 z_2+4 z_1 z_3+z_2 z_3\right|=12\), then the value of \(\left|z_1+z_2+z_3\right|\) is

If \(\theta\) lies in the first quadrant and \(5 \tan \theta=4\), then \(\frac{5 \sin \theta-3 \cos \theta}{\sin \theta+2 \cos \theta}\) is equal to

The equation of hyperbola whose eccentricity is \(\frac{5}{3}\) and distance between the foci is 10 units is

Salts of \(A, B\) and \(C\) were electrolysed under identical conditions using the same quantity of electricity. It was found that when \(2.1 \mathrm{~g}\) of \(A\) was deposited, the weights of \(B\) and \(C\) deposited were \(2.7 \mathrm{~g}\) and \(9.6 \mathrm{~g}\). If the atomic mass of \(A, B\) and \(C\) respectively are 7,27 and 64 respectively, then the valancies of \(A, B\) and \(C\) respectively are

The resultant magnetic moment of three magnetic dipoles, each of the magnetic moment \(M\) shown in the arrangement is