How many orbitals is/are possible with \(n=3\), \(l=1\) and \(m_l=-1\) value?

2.0 g of \(\mathrm{H}_2\) diffuses through a porous container in 10 minutes. How many grams of \(\mathrm{O}_2\) would diffuse from the same container in the same time under similar conditions?

The rate equation for a first-order reaction is given by $\left[\mathrm{R}\right]={\left[\mathrm{R}\right]}_0{\mathrm{e}}^{-\mathrm{kt}}$. A straight line with positive slope is obtained by plotting (${\left[\mathrm{R}\right]}_0=$ Initial concentration of the reactant, $\left[\mathrm{R}\right]=$ concentration of the reactant at time $\mathrm{t}$)

Calculate the coordination number of \(\mathrm{Na}^{+}\)in \(\mathrm{NaCl}\) crystal, given radius of \(\mathrm{Na}^{+}\)and \(\mathrm{Cl}^{-}\)are \(95 \mathrm{pm}\) and \(181 \mathrm{pm}\) respectively.

Which of the following is the common monomer for the polymers Bakelite and Melamine ?

From the following data at \(25^{\circ} \mathrm{C}\), calculate the \(\Delta_{\mathrm{r}} \mathrm{H}^0\) for \(\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightarrow 2 \mathrm{H}(\mathrm{g})+\mathrm{O}(\mathrm{g})\)
reaction: \(\Delta_{\mathrm{r}} \mathrm{H}^0\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)\)
\[
\begin{array}{ll}
\frac{1}{2} \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{OH}(\mathrm{g}) & 42.09 \\
\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g}) & -242 \\
\mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{H}(\mathrm{g}) & 436 \\
\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{O}(\mathrm{g}) & 496
\end{array}
\]

Identify the monomer that can undergo polymerisation by free radical, cationic and anionic mechanisms.

A particle of mass \(0.4 \mathrm{~kg}\) executes simple harmonic motion of amplitude \(0.4 \mathrm{~m}\). When it passes through the mean position, its kinetic energy is \(256 \times 10^{-3} \mathrm{~J}\). If the initial phase of the oscillation is \(\pi / 4\), then the equation of its motion is

\(P\) is a variable point such that the distance of \(P\) from \(A(4,0)\) is twice the distance of \(P\) from \(B(-4,0)\). If the line \(3 y-3 x-20=0\) intersects the locus of P at the points C and D , then the distance between C and D is

If the pair of lines \(2 x^2+3 x y+y^2=0\) makes angles \(\theta_1\) and \(\theta_2\) with the positive direction of the X-axis, then \(\left|\tan \left(\theta_1-\theta_2\right)\right|=\)

What is the volume (in litres) of oxygen required at STP to completely convert \(1.5 \mathrm{~mol}\) of sulphur into sulphur dioxide?

\(\sum_{r=1}^{15} r^2\left(\frac{{ }^{15} C_r}{{ }^{15} C_{r-1}}\right)=\)

In a triangle ABC, if \(\sin \frac{\mathrm{A}}{2}=\frac{1}{4} \sqrt{\frac{3}{5}}, \mathrm{a}=2, \mathrm{c}=5\) and b is an integer, then the area (in sq. units) of triangle ABC is