Given below are two statements.
Statement I: HX bond length is higher in HCL than HF.
Statement II: The lowest boiling point in hydride of group 15 element is $\mathrm { PH } _ { 3 }$
(A) Both statement I and statement II is correct
(B) Both statement I and statement II is incorrect
(C) Statement I is correct but statement II is incorrect
(D) Statement I is incorrect but statement II is correct

Given below are two statements.\
Statement I: Sublimation is a purification technique that is used to separate those solid substances which changes from solid to vapour state without passing through liquid state.\ Statement II: If external atmospheric pressure is reduced then boiling point of substance is decreased.\ In the light of the above statements, choose the correct option.\ (A) Both statement I and statement II are correct\ (B) Both statement I and statement II are incorrect\ (C) Statement I is correct but statement II is incorrect\ (D) Statement I is incorrect but statement II is correct

Two non electrolytes solutes A and B of $( 0.3 \mathrm {~g} )$ and $( 0.9 \mathrm {~g}$ respectively are dissolved in 100 ml solution. (molar mass of A and B are $\mathbf { 3 0 ~ g } / \mathbf { ~ m o l }$ and $\mathbf { 9 0g } / \mathbf { m o l }$ respectively. Calculate of osmotic pressure at 300 K (in atm)

$\underset { \mathbf { g } } { \mathbf { P } _ { \mathbf { 2 } } } + \underset { \mathbf { g } } { \mathbf { Q } _ { \mathbf { 2 } } } \rightleftharpoons \underset { \mathbf { g } } { 2 \mathbf { P Q } }$
2 mol each of $\mathrm { P } _ { 2 } ; \mathrm { Q } _ { 2 }$ \& PQ are at equilibrium. If 1 mol each of $\mathrm { P } _ { 2 }$ \& $\mathrm { Q } _ { 2 }$ are added at eq. Find new concentration of $\mathrm { P } _ { 2 }$ at equilibrium?
(A) 1.33
(B) 2.33
(C) 3
(D) 4

At equivalence point $\mathbf { X ~ m l }$ of $\mathbf { 0 . 0 2 ~ M ~ H C l }$ has reacted with $\mathbf { 5 ~ m L }$ of $\mathbf { 0 . 0 2 ~ M }$ of a weak base. The $\mathbf { p K } _ { \mathbf { b } }$ of weak base is $\mathbf { 5 . 6 9 }$ and the pH of the resulting solution is Y at half of the equivalence point. The value of $( \mathrm { x } + \mathrm { y } )$ is: (A) 8.81 (B) 5 (C) 3.81 (D) 13.31

What will be the ratio of wavelength of 3rd line at Paschen Series to 2nd line of Balmer series of H-atom?
(A) $\frac{9}{4}$
(B) $\frac{3}{2}$
(C) $\frac{2}{3}$
(D) $\frac{16}{4}$

Consider the following graph of concentration vs time.\
Find half-life of reaction.\ (A) 600 s\ (B) 200 s\ (C) 300 s\ (D) 100 s

In H-like atom ratio of speed in two orbits is 3:2, then ratio of energy is
(A) $5 : 3$
(B) $2 : 1$
(C) $9 : 4$
(D) 2 : 3

Which is correct option. (A) $\left[ \mathrm { Ni } ( \mathrm { CN } ) _ { 4 } \right] ^ { 2 - }$ is paramagnetic while $[ \mathrm { NiCl } ] _ { 4 } { } ^ { 2 - }$ and $\left[ \mathrm { Ni } ( \mathrm { CO } ) _ { 4 } \right]$ are diamagnetic. (B) $\left[ \mathrm { Ni } ( \mathrm { CN } ) _ { 4 } \right] ^ { 2 - }$ and $\left[ \mathrm { Ni } ( \mathrm { CO } ) _ { 4 } \right]$ are diamagnetic while $\left[ \mathrm { NiCl } _ { 4 } \right] ^ { 2 - }$ is paramagnetic. (C) $\left[ \mathrm { NiCl } _ { 4 } \right] ^ { 2 - }$ and $\left[ \mathrm { Ni } ( \mathrm { CO } ) _ { 4 } \right]$ are paramagnetic while $\left[ \mathrm { NI } ( \mathrm { CN } ) _ { 4 } \right] ^ { 2 - }$ is diamagnetic. (D) $\left[ \mathrm { NiCl } _ { 4 } \right] ^ { 2 - }$ and $\left[ \mathrm { Ni } ( \mathrm { CN } ) _ { 4 } \right] ^ { 2 - }$ are paramagnetic while $\left[ \mathrm { Ni } ( \mathrm { CO } ) _ { 4 } \right]$ is diamagnetic.

Which of the following is the correct order with respect to the property indicated?
(A) CI > F (lonisation energy) (B) $(\mathrm{K}_{2}\mathrm{O} > \mathrm{Na}_{2}\mathrm{O} > \mathrm{Al}_{2}\mathrm{O}_{3})$ (Basic nature) (C) $\mathrm{K} > \mathrm{Na} > \mathrm{Al} > \mathrm{Mg}$ (metallic character) (D) None of these

Osmotic pressure of a solution is 12 atm. What is the concentration of NaCl solution which is isotonic to the given solution at 300 K? $R = 0.082 \text{ L atm K}^{-1} \text{ mol}^{-1}$. Assume 100\% dissociation.
(A) 0.4878 M
(B) 0.02439 M
(C) 0.2439 M
(D) 0.04878 M

A binary solution is formed by mixing Acetone (A) and $\mathrm { CS } _ { 2 } ( \mathrm {~B} )$. The variation of vapour pressure v/s mole fraction will be

Which of following compound contains $\mathbf { 3 }$ unpaired electrons？ （4） $\left[ \mathrm { CoF } _ { 6 } \right] ^ { 4 - }$ （B） $\left[ \mathrm { TiF } _ { 6 } \right] ^ { 3 - }$ （C） $\mathrm { V } _ { 2 } \mathrm { O } _ { 5 }$ （D） $\left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] ^ { 3 - }$

The wave number of three spectral lines of H -atom are given. Identify the correct set of spectral lines belonging to Balmer series (A) $\frac { 5 \mathrm { R } } { 36 } , \frac { 3 \mathrm { R } } { 16 } , \frac { 21 \mathrm { R } } { 100 }$ (B) $\frac { 3 \mathrm { R } } { 4 } , \frac { 3 \mathrm { R } } { 16 } , \frac { 7 \mathrm { R } } { 144 }$ (C) $\frac { 7 \mathrm { R } } { 144 } , \frac { 3 \mathrm { R } } { 16 } , \frac { 16 \mathrm { R } } { 255 }$ (D) $\frac { 5 \mathrm { R } } { 36 } , \frac { 3 \mathrm { R } } { 16 } , \frac { 21 \mathrm { R } } { 24 }$

For two chemical reactions A and B, if the difference between their activation energy is 20 kJ at $300\mathrm{~K}$ $(\mathrm{R} = 8.3\mathrm{~J}\mathrm{~K}^{-1}\mathrm{~mol}^{-1})$.
Determine $\boldsymbol{\operatorname{ln}}\frac{\mathbf{k}_{\mathbf{2}}}{\mathbf{k}_{\mathbf{1}}}$.

$\mathrm{K_2Cr_2O_7}$ is heated with KCl in presence of $\mathrm{H_2SO_4}$. Find the correct match of product with their oxidation state.
(A) $\mathrm{CrO_2Cl_2}$, +6
(B) $\mathrm{Cr_2O_2Cl_2}$, +6
(C) $\mathrm{Cr_2O_2Cl}$, +5
(D) $\mathrm{CrO_2Cl_2}$, +5

$\mathrm { K } _ { 2 } \mathrm { Cr } _ { 2 } \mathrm { O } _ { 7 } + \mathrm { I } ^ { - } + \mathrm { H } ^ { + } \rightarrow \mathrm { I } _ { 2 }$ ( $\mathrm { x } =$ number of moles of e exchanged per $\mathrm { mol } \mathrm { I } _ { 2 }$ )
$\mathrm { K } _ { 2 } \mathrm { Cr } _ { 2 } \mathrm { O } _ { 7 } + \mathrm { S } ^ { 2 - } \rightarrow \mathrm { S }$
( $\mathrm { y } =$ number of $\mathrm { mb } ^ { 2 } \mathrm { i } ^ { 2 } \mathrm { e } ^ { 2 }$ of $\mathrm { e } ^ { - }$exchanged formole of S ) $\mathbf { x } + \mathbf { y }$ is
(A) 6
(B) 9
(C) 4
(D) 12

Given below are two statements
Statement I : Among $\mathrm { XeF } _ { 4 } , \mathrm { BF } _ { 4 } { } ^ { - }$ and $\mathrm { SF } _ { 4 }$ the species having equal M-X bond lengths are $\mathrm { XeF } _ { 4 }$ and $\overline { \mathrm { BF } } _ { 4 } ^ { - }$. ( $\mathbf { M } =$ central atom).
Statement II : Among $\mathbf { O } _ { 2 } ^ { - - } , \mathbf { O } _ { 2 } ^ { - } , \mathrm { F } _ { 2 }$ and $\mathbf { O } _ { 2 } ^ { + }$ the highest bond order is for $\mathrm { F } _ { 2 }$ and $\mathrm { O } _ { 2 } ^ { 2 - }$.
In the light of the above statements, choose the most appropriate option. (A) Both statement-I and statement-II are correct (B) Both statement-I and statement-II are incorrect (C) Statement-I is correct but statement-II is incorrect (D) Statement-I is incorrect but statement-II is correct

$\mathbf{80~mL}$ of organic compound is mixed with $\mathbf{264~mL~O}_{2}$, and ignited. It gives 224 mL of gaseous mixture at NTP. After passing KOH 164 mL of gas remains. The organic compound is
(A) $\mathrm{C}_{2}\mathrm{H}_{4}$ (B) $\mathrm{C}_{2}\mathrm{H}_{2}$ (C) $\mathrm{C}_{4}\mathrm{H}_{10}$ (D) $\mathrm{C}_{3}\mathrm{H}_{6}$

Match the column

Column-I

(A) $\underline { \mathrm { IF } } _ { 3 }$
(B) $\mathrm { IF } _ { 5 }$
(C) $\mathrm { IF } _ { 7 }$
(D) $\mathrm { ClO } _ { 4 } ^ { - }$

Column-II

(P) $\mathrm { sp } ^ { 3 } \mathrm {~d} ^ { 3 }$, pentagonal bipyramidal (Q) $\mathrm { sp } ^ { 3 } \mathrm {~d}$, T-shaped (R) $\mathbf { s p } ^ { \mathbf { 3 } }$, Tetrahedral (S) $\mathrm { sp } ^ { \mathbf { 3 } } \mathrm { d } ^ { \mathbf { 2 } }$, Square pyramidal

Consider the following reaction $\mathrm{Ca} + 2\mathrm{HCl} \rightarrow \mathrm{CaCl}_{2} + \mathrm{H}_{2}$
We have 14 g Ca reacts with excess of HCl. Choose the incorrect option.
(A) Mass produced of $\mathrm{CaCl}_{2}$ is $38.85\mathrm{~g}$ (B) Mole of $\mathbf{H}_{\mathbf{2}}$ produced is $\mathbf{0.35~mol}$ (C) Volume of $\mathrm{H}_{2}$ produced at STP is 7.945 (D) Mass of $\mathrm{CaCl}_{2}$ produced is $\mathbf{3.885}\mathrm{~g}$

$\mathbf{10}$ moles of $\mathbf{O}_{\mathbf{2}}$ is Heated at Constant volume from $\mathbf{30}{}^{\boldsymbol{\circ}}\mathbf{C}$ to $\mathbf{40}{}^{\boldsymbol{\circ}}\mathbf{C}$.
The change in internal energy is $\underline{\quad}$ Cal.
$(\mathrm{C}_{\mathrm{P},\overline{\mathrm{m}}} = 7\mathrm{Ca/mol}{}^{\circ}\mathrm{C} \quad \mathrm{R} = 2\mathrm{Cal/mol}{}^{\circ}\mathrm{C})$

Force required to move the wire AD with constant velocity

Diodes are ideal at steady state, find charge on capacitor

A charge of $10^{-8}\mathrm{C}$ in at origin another charge of $2\mu\mathrm{C}$ at $(2,2,1)$ now this charge is taken to point B. (4, 4, 2) find work done in the process