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The de Broglie wavelength of an electron moving in a circular orbit is $\lambda .$ The minimum radius of orbit is:

What is the conc. of acetic acid that must be added to 0.5M HCOOH solution so that the dissociation of both acids is the same? [An example of Isohydric solutions] $K_a$ of acetic acid $1.8\times {10}^{-5},K_a$ of formic acid = $2.4\times {10}^{-4}$

The equivalent weight of a divalent metal is $W$. The molecular weight of its chloride

Both alkane and alkene can be prepared from in one step reaction

At 298K 1 atm, 1 volume of N₂ reacts with 3 volumes of H₂ to give 2 volumes of NH₃. The ratio 1:3:2 illustrates:

Acetic anhydride reacts with phosphorus pentachloride to yield

'x' moles of $N_2$ gas at S.T.P conditions occupy a volume of 10 litres, then the volume of '2x' moles of $C{H}_4$ at ${273}^{0}C$ and 1.5 atm is

Which of the following molecules has the highest bond angle?

In the Claus process, Hydrogen sulphide reacts with sulphur dioxide to yield elemental sulphur. This is:

Which of the following explains the particle like nature?

Which of the following expressions represents the spectrum of Balmer series (If n is the principal quantum number of the higher energy level) in a hydrogen atom?

The maximum number of electrons that can be present in s, p, d and f respectively are:

At extremely low pressure van der Waal’s equation can be expressed as

3g of $H_2$ and 24g of $O_2$ are present in a gaseous mixture at constant temperature and pressure. Find the partial pressure of hydrogen.

Match the thermodynamic processes given below:

$\begin{array}{cc}\text{Column I}& \text{Column II}\\ \text{A. Freezing of water at 273K and 1 atm}& \text{p. q=0}\\ \text{B. Expansion of 1 mole of an ideal gas into a vacuum under isolated conditions}& \text{q. W=0}\\ \text{C. Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container}& \text{r. ΔSsys<0}\\ \text{D. Reversible heating of H2(g) at 1 atm from 300 K to 600K, followed by reversible cooling to 300K at 1 atm}& \text{s. ΔU=0}\\ & \text{t. ΔG=0}\end{array}$

Which of the following compounds is polar and has a central atom with $s{p}^3$ hybridisation?

The wave function $\left(\Psi \right)$ of $2s$ is given by:

${\Psi }_{2s}=\frac{1}{2\sqrt{2\pi }}{\left(\frac{1}{a_0}\right)}^{\frac{1}{2}}\{2-\frac{r}{a_0}\}{e}^{-\frac{r}{2a_0}}$

At $r=r_0$, radial node is formed. Thus for $2s$, $r_0$ in terms of $a_0$ is:

The reversible expansion of an ideal gas under adiabatic and isothermal condition is shown in the figure. Which of the following statements is incorrect?

Which
of the following types of metals make the most efficient catalysts [DPMT 1985]

Which of the following reagents will give the maximum yield of 3-fluorobromobenzene?

What are the products formed when diborane reacts with each of the following compounds?

In a Millikan's oil drop experiment, the charge on an oil drop is calculated to be $-6.4\times {10}^{-19}\text{C}$. The number of excess electrons on the drop is:

How to determine mole fraction of solvent when moles of solute and solvent are given?

The solubility of $PbC{l}_2$ in water is $0.01Mat{25}^{\circ }\text{C}$. Its maximum concentration in $0.1MNaCl$ will be:

The wavelength (in $\stackrel{o}{A}$) of an emission line obtained for $L{i}^{2+}$ during an electronic transition $n_2=2$ and $n=1$ is (R = Rydberg constant)

For an acid indicator having the formula $HIn$ . Choose the correct options when the ratio $\frac{\left[I{n}^{-}\right]}{\left[HIn\right]}=10$

The electrochemical cell shown below is a concentration cell.$M|M^{2+}$ (Saturated solution of a sparingly soluble salt, $M{X}_2\left)||M^{2+}\right(0.001mold{m}^{-3})M.$ The emf of the cell depends on the difference in concentration of $M^{2+}$ ions at the two electrodes. The emf of the cell at 298K is 0.059



The value of $\Delta G\left(kJmo{l}^{-1}\right)$ for the given cell is: (take$1F=96500Cmo{l}^{-1})$

Equal volumes of three acid solutions of $pH3,4,and5$ are mixed in a vessel. What will be the $H^{+}$ ion concentration of the mixture ?

$antilo{g}_b(-x)=b^{-x}$

Which of the following has highest boiling point ?

Calculate % ionic character in HCl.

$Bondlength=1.275\stackrel{\circ }{A},{\mu }_{observed}=1.03D$

1. 10

The empirical formula of a commercial ion exchange resin is $C_8{H}_{7}S{O}_{3}Na(M.M=206)$. The resin can be used to soften water according to the reaction:

$C{a}^{2+}+2C_8{H}_{7}S{O}_{3}Na\to Ca(C_8{H}_{7}S{O}_3{)}_2+2N{a}^{+}$

What would be the maximum uptake of $C{a}^{2+}$ by the resin expressed in $\text{mol/g}$ of resin?

Consider a weak base, $BOH$. Molar concentration of $BOH$ that provides $[OH{]}^{-}$ of $1.5\times {10}^{-3}\text{M}$ will be :

Given: $K_b\left(BOH\right)=1.5\times {10}^{-5}$

Consider a system containing one mole of a diatomic gas, contained by a piston. What is the temperature change of the gas, if $q=50J$ and $W=-100J?$

(Given $C_v=\frac{5}{2}R$ )

Consider the following carbocations:-

I. II. III. IV.

The stability sequence follows the order:-

The relative lowering of vapour pressure produced by dissolving 71.5 g of a substance in 1000 g of water is 0.00713. The molecular weight of the substance will be:

The IUPAC name of the following componds is

The drawbacks of Mendeleev's Periodic Table are:

Which of the following substances do not have standard enthalpy of formation as zero?

The correct sequence of decrease in the bond angles of the following hydrides is

Which of the following is not a process involved in the extraction of copper?

Chlorination of toluene in the presence of light and heat followed by treatment with aqueous NaOH gives

[IIT-JEE 1990]

An aqueous solution of potash alum is -

Which of the following solution in water possesses the lowest vapour pressure:

1 mole of an aliphatic compound $C_3{H}_8$ is completely burnt in an excess of $O_2$. The reacted moles of oxygen are: