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The wavelength range of the visible spectrum extends from violet (400 nm) to red (750 nm). Express these wavelength in frequencies (Hz). $(1nm={10}^{-9}m)$.

Calculate r and a relationship from the following figure. All spheres are of equal radius r.

If r = x * a, round off x to 2 decimals and type 100x.

The value of van der Waals' constant $a$ for various gases are given

$\begin{array}{cc}\text{Gas}& a\left(L^{2}atmmo{l}^{-2}\right)\\ N_2& 1.390\\ O_2& 1.360\\ N{H}_3& 4.170\\ C{H}_4& 2.253\end{array}$

The order of liquefaction of these gases is

Heavy water freezes at

The minimum number of waves made by a Bohr electron in an orbit of maximum magnetic quantum number $+2$:

Arrange the following compounds in an increasing order of their acidic strengths.

Alcoholic fermentation is brought about by the action of [CPMT 1977, 79, 88; DPMT 1983]

The first and the second ionisation energies of magnesium are 7.646 eV and 15.035 eV respectively. The amount of energy in kJ needed to convert all the atoms of magnesium into $M{g}^{2+}$ ions present in 24 mg of magnesium vapour will be:

(Given $1eV=96.5kJmo{l}^{–1}$).

The paramagnetic species among the following is

Balance by Ion electon method, $C{r}_2{O}_7^{-2}+F{e}^{+2}\to C{r}^{+3}+H_{2}O$ (in acidic medium).

A chemical $\left(A\right)$ is used for water softening to remove temporary hardness. $\left(A\right)$ reacts with sodium carbonate to generate caustic soda. When $C{O}_2$ is bubbled through the solution of $\left(A\right)$, it turns cloudy. What is the chemical formula of $\left(A\right)$?

Elements X and Y have valence shell electronic configurations $X=n{s}^{2}n{p}^5;Y=n{s}^{2}n{p}^3$. Which compound is likely formed from X and Y?

The ratio of velocity of an electron in a certain Bohr's orbit ($n^{th}$ orbit) of H-atom to the velocity of light is $1:550$ . The wavenumber of radiation emitted when the electron jumps from the (n+1) to ground state:

(Rydberg constant $\left(R_H\right)=109678c{m}^{-1}$

The quantum number not obtained from Schrodinger’s wave equation is:

Among the following alkenes which one produces tertiary butyl alcohol on acid hydration?

Which of the following is a polar molecule?

Ionization constants of weak acid HA and weak base BOH are $3.0\times {10}^{-7}$ each at 298 K. The percent degree of hydrolysis of their salt at the dilution of 10 L is :

Which one of these causes the most damage when ingested?

The most stable carbonium ion among the following is

The catalyst used for olefin polymerization is:

The orbital angular momentum of $3p$ electron is :

Which of the following are organic compounds?

The correct order of stability of the following carbanions is:

$(C{H}_3{)}_3{C}^{-}{,}^{-}CC{l}_3,(C{H}_3{)}_{2}C{H}^{-},C_6{H}_5-C{H}_2^{-}$

Step-I: 0.5 L of saturated $Mg(OH{)}_2$ (aq.) is in contact with $Mg(OH{)}_2$(s).

Step-II: 0.5 L of $H_{2}O$ is added to 0.5 L of solution in step (I) and the solution is vigorously stirred, undissolved $Mg(OH{)}_2$(s) remains.

Step-III: 100 mL of the clear solution in step (II) is removed and added to 0.5 L of 0.1 M $HCl$(aq.).

Step-IV: 25 mL of the clear solution in step (II) is removed and added to 225 mL of 0.06 M $MgC{l}_2$(aq.) $(K_{sp},Mg(OH{)}_2=3.2\times {10}^{-11})$.

Which of the following are correct choices about above steps?

What is the approximate value of $pH$ of a $0.2M$ solution of ammonia? Given, $K_b=1.76\times {10}^{-5}$.

Calculate the volume of 10 moles of $H_2$ gas at STP.

In which of the following reaction, the value of $K_p$ will be equal to $K_c$

Which of the following is TRUE for carbanion?

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy?

In reduction

$C{H}_{3}COC{H}_3\left(g\right)\rightleftharpoons C{H}_{3}C{H}_3\left(g\right)+CO\left(g\right)$, if the initial pressure of $C{H}_{3}COC{H}_3\left(g\right)$ is $150mm$ and at equilibrium the mole fraction of $CO\left(g\right)$ is $\frac{1}{3}$ then the value $K_p$ is

Which of the following reaction will take place at fastest rate?

What is the molecular formula of heptane and ethane respectively?

Select the correct diagram for the ${\pi }^{\ast }2p_y$ - orbital:

Alveoli are tiny sacs in the lungs whose average diameter is $5\times {10}^{-10}m$. Consider an oxygen molecule $(5.3\times {10}^{-26}kg)$ trapped within an alveolus. Calculate the uncertainty in the velocity of the oxygen molecule.

The IUPAC name of

The maximum s-character is exhibited by the orbitals of which central atom?

In a sample of wood, the reading of a counter is $32\text{dpm}$ and in fresh sample of tree it is $122\text{dpm}$. Due to an error, the counter gives the reading 2 dpm in absence of ${}^{14}C$. The half-life of ${}^{14}C$ is 5770 years. The approximate age (in years) of wood sample is:

Dilution processes of different aqueous solution, with water, are given in LIST-I. The effects of dilution of the solutions on $\left[H^{+}\right]$ are given in LIST -II.

(Note: Degree of dissociation $\left(\alpha \right)$ of weak acid and weak base is << 1; degree of hydrolysis of salt << 1; $\left[H^{+}\right]$ represents the concentration of $H^{+}$ ions)

$\begin{array}{cc}\text{LIST -I}& \text{LIST-II}\\ \text{P. 10 mL of 0.1 M NaOH +20 mL of}& \text{1. The value of}\left[H^{+}\right]\text{does not}\\ \text{0.1 M acetic acid diluted to 60 mL}& \text{change on dilution}\\ \text{Q. 20 mL of 0.1 M NaOH +20 mL of}& \text{2. The value of}\left[H^{+}\right]\text{changes to half}\\ \text{0.1 M acetic acid diluted to 80 mL}& \text{of its initial value on dilution}\\ \text{R. 20 mL of 0.1 M HCl + 20 mL of 0.1}& \text{3. The value of}\left[H^{+}\right]\text{changes to two}\\ \text{M ammonia solution diluted to 80 mL}& \text{times of its initial value on dilution}\\ \text{S. 10 mL saturated solution of}Ni(OH{)}_2& \text{4. The value of}\left[H^{+}\right]\text{changes to}\frac{1}{\sqrt{2}}\\ \text{in equilibrium with excess solid}Ni(OH{)}_2& \text{times of its initial value on dilution}\\ \text{is diluted to 20 mL (solid}Ni(OH{)}_2\text{is still}& \\ \text{present after dilution).}& \\ & \text{5. The value of}\left[H^{+}\right]\text{changes to}\sqrt{2}\\ & \text{times of its initial value on dilution}\end{array}$

Match each process given in LIST -I with one or more effect(s) in LIST -II. The correct option is

Which of the following comprise of stereoisomers?

What is the work which could be obtained from an isothermal reversible expansion of 1 mol of $C{l}_2$ from $1d{m}^3$ to $50d{m}^3$ at 273 K using ideal gas behaviour.

At ${90}^{\circ }$C pure water has [${H_{3}O}^{+}$] = ${10}^{-6}$mol ${litre}^{-1}$. The value of $K_W$ at ${90}^{\circ }$C is

Choose the complex having the IUPAC name sodium hexanitrito -N- cobaltate(III):

Arrange the following in increasing acidic character

Phenol, m - nitrophenol, m - chlorophenol, m - cresol

I II III IV

The correct structure of product A from the following reaction is:

Intra-molecular H-bonding is present in