A real gas would be most likely to obey the ideal gas laws at

The wavenumber of the first line \(\left(n_2=3\right)\) in the Balmer series of hydrogen is \(\overline{\mathrm{v}}_1 \mathrm{~cm}^{-1}\). What is the wavenumber (in \(\mathrm{cm}^{-1}\) ) of the second line ( \(\mathrm{n}_2=4\) ) in the Balmer series of \(\mathrm{He}^{+}\)?

If two particles $A$ and $B$ are moving with the same velocity, but wavelength of $A$ is found to be double than that of $B.$ Which of the following statements are correct?

Which one of the following ions exhibit paramagnetic property?

A flask contains 98 mg of \(\mathrm{H}_2 \mathrm{SO}_4\). If \(3.01 \times 10^{20}\) molecules of \(\mathrm{H}_2 \mathrm{SO}_4\) are removed from the flask, the number of moles of \(\mathrm{H}_2 \mathrm{SO}_4\) remained in flask is \(\left(\mathrm{N}=6.02 \times 10^{23}\right)\)

Match the following
\(\begin{array}{ll}
\text{List - I} & \text{List - II} \\
\text{A) } \mathrm{Al}_2 \mathrm{O}_3+2 \mathrm{NaOH}+3 \mathrm{H}_2 \mathrm{O} \rightarrow 2 \mathrm{Na}\left[\mathrm{Al}(\mathrm{OH})_4\right] & \text{I) Roasting} \\
\text{B) } \mathrm{Ni}(\mathrm{CO})_4 \xrightarrow{230^{\circ} \mathrm{C}} \mathrm{Ni}+4 \mathrm{CO} & \text{II) Calcination} \\
\text{C) } \mathrm{Fe}_2 \mathrm{O}_3 \cdot 3 \mathrm{H}_2 \mathrm{O} \xrightarrow{\Delta} \mathrm{Fe}_2 \mathrm{O}_3+3 \mathrm{H}_2 \mathrm{O} & \text{II) Vapour phase refining} \\
\text{D) } 2 \mathrm{PbS}+3 \mathrm{O}_2 \rightarrow 2 \mathrm{PbO}+2 \mathrm{SO}_2 & \text{IV) Electrolysis} \\
& \text{V) Leaching}
\end{array}\)
The correct answer is

Boron halides usually are Lewi's acids in nature. This is due to

Chlorine containing artificial sweetner is

A speech signal of \(3 \mathrm{kHz}\) is used to modulate a carrier signal of frequency \(1 \mathrm{MHz}\), using amplitude modulation. The frequencies of the side bands will be

A vessel contains 3 moles of \(\mathrm{He}, 1\) mole of Ar, 5 moles of \(\mathrm{N}_2\) and 3 moles of \(\mathrm{H}_2\). If the vibrational modes are ignored, the total internal energy of the system of gases is

If the locus of the points on the curve \(x^3 y^2+\frac{x^2}{y}=5\) at which the tangent is parallel to \(\mathrm{X}\)-axis is \(\mathrm{f}(\mathrm{x}, \mathrm{y})=0\), then the point that lies on this curve \(f(x, y)=0\) is

The chemical formula of feldspar is

Statement I The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is \({ }^9 C_3\).
Statement II The number of ways of choosing 3 places from 9 different places is \({ }^9 \mathrm{C}_3\).