Chemistry
List I | List II |
A. Technicium | I. Non-metal |
B. Fluorine | II. Transition metal |
C. Tellurium | III. Lanthanoid |
D. Dysprosium | IV. Metalloid |
At $T(\mathrm{~K})$, the equilibrium constant for the reaction $\mathrm{H}_2(g)+\mathrm{Br}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HBr}(\mathrm{g})$
is $1.6 \times 10^5$. If 10 bar of HBr is introduced into a sealed vessel at $T(\mathrm{~K})$, the equilibrium pressure of HBr (in bar) is approximately
Which of the following are correct?
i. Basic structural unit of silicates is $-R_2 \mathrm{SiO}-$
ii. Silicones are biocompatible
iii. Producer gas contains CO and $\mathrm{N}_2$
The correct option is
The mass % of urea solution is 6 . The total weight of the solution is 1000 g . What is its concentration in $\mathrm{mol} \mathrm{L}^{-1}$ ? (Density of water $=1.0 \mathrm{~g} \mathrm{~mL}^{-1}$ )
( $\mathrm{C}=12 \mathrm{u}, \mathrm{N}=14 \mathrm{u}, \mathrm{O}=16 \mathrm{u}, \mathrm{H}=1 \mathrm{u}$ )
A non- volatile solute is dissolved in water. The $\Delta T_{\mathrm{b}}$ of resultant solution is 0.052 K . What is the freezing point of the solution ( in K )?
( $K_b$ of water $=0.52 \mathrm{~K} \mathrm{kgmol}^{-1}$,
$K_f$ of water $=1.86 \mathrm{~K} \mathrm{kgmol}^{-1}$,
freezing point of water $=273 \mathrm{~K}$ )
The standard reduction potentials of $2 \mathrm{H}^{+} / \mathrm{H}_2, \mathrm{Cu}^{2+} / \mathrm{Cu}, \mathrm{Zn}^{2+} / \mathrm{Zn}$ and $\mathrm{NO}_3^{-}, \mathrm{H}^{-} / \mathrm{NO}$ are 0.0 , +0.34 . -0.76 and 0.97 V respectively. Observe the following reactions
I. $\mathrm{Zn}+\mathrm{HCI} \rightarrow$
II. $\mathrm{Cu}+\mathrm{HCl} \rightarrow$
III. $\mathrm{Cu}+\mathrm{HNO}_3 \rightarrow$
Which reactions does not liberate $\mathrm{H}_2(g)$ ?
$5 \mathrm{Br}^{-}(a q)+\mathrm{BrO}_3^{-}(a q)+6 \mathrm{H}^{+}(a q) \longrightarrow 3 \mathrm{Br}_2(a q)+3 \mathrm{H}_2 \mathrm{O}(l)$ is $X$ $\mathrm{mol} \mathrm{L} \mathrm{min}^{-1}$. What is the rate (in $\mathrm{mol} \mathrm{L}^{-1} \mathrm{~min}^{-1}$ ) of this reaction?
List I | List II |
A. Aerosol | I. Milk |
B. Foam | II. Soap lather |
C. Emulsion | III. Cheese |
D. Gel | IV. Smoke |
$\mathrm{Xe}(g)+2 \mathrm{~F}_2(g) \xrightarrow[7 \text { bar }]{873 \mathrm{~K}} \mathrm{XeF}_4(\mathrm{~s})$
The ratio of $\mathrm{Xe}: \mathrm{F}_2$ required in the above reaction is
Arrange the following in the increasing order of number of unpaired electrons present in the central metal ion
I. $\left[\mathrm{MnCl}_6\right]^{3-}$
II. $\left[\mathrm{FeF}_6\right]^{3-}$
III. $\left[\mathrm{Mn}(\mathrm{CN})_6\right]^{3-}$
IV. $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}$
What are $A$ and $B$ in the following reaction sequence ?
$$ \mathrm{CH}_3 \mathrm{COOH} \xrightarrow{A} X \xrightarrow[\mathrm{H}^{+}]{Y} B \text { (Analgesic drug) } $$
What are $X$ and $Y$ respectively in the following reactions?
Mathematics
If the mean deviation about the mean is $m$ and variance is $\sigma^2$ for the following data, then $m+\sigma^2=$
$\mathbf{x}$ | 1 | 3 | 5 | 7 | 9 |
$\mathbf{f}$ | 4 | 24 | 28 | 16 | 8 |
The values of $a$ and $b$ for which the function
$ f(x)=\left\{\begin{array}{cl}1+|\sin x|^{\frac{a}{\sin x \mid}} & \frac{-\pi}{6} < x < 0 \\ b, & x=0 \quad \text { is continuous at } x=0 \\ e^{\frac{\tan 2 x}{\tan 3 x},} & 0 < x < \frac{\pi}{6}\end{array}\right. $
are
If $f(x)=\left\{\begin{array}{cc}2 x+3, & x \leq 1 \\ a x^2+b x, & x>1\end{array}\right.$
is differentiable, $\forall x \in R$, then $f^{\prime}(2)=$
Physics

The speed of the electron in a hydrogen atom in the $n=3$ level is
(Planck's constant $=6.6 \times 10^{-34} \mathrm{Js}$ )
One mole of radium has an activity of $\frac{1}{3.7}$ kilo curie. Its decay constant is
(Avagadro number $=6 \times 10^{23} \mathrm{~mol}^{-1}$ )