At STP, if 5.6 litres of a gas weights \(7.5 \mathrm{~g}\), then identify the gas.

\(\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}\) are electromagnetic radiations. Frequencies of \(\mathrm{a}, \mathrm{b}\) are \(3 \times 10^{15} \mathrm{~Hz}\), \(2 \times 10^{14} \mathrm{~Hz}\), respectively, whereas wavelength of c, d are \(400 \mathrm{~nm}, 750 \mathrm{~nm}\), respectively. The increasing order of their energies is

What is the quantity of electricity (in Coulombs) required to deposit all the silver from \(250 \mathrm{~mL}\) of \(1 \mathrm{M} \mathrm{AgNO}_3\) solution?

The role of copper diaphragm in Whytlaw-Gray's method is

Arrange the following species in the decreasing order of their bond orders:

Identify the correct statements from the following:
i. In the presence of UV light, \(\mathrm{CF}_2 \mathrm{Cl}_2(g)\) gives chlorine free radicals which will react with \(\mathrm{O}_3(g)\) to form \(\mathrm{O}_2(g)\).
ii. Drinking water with \(10 \mathrm{ppm}\) fluoride is better than drinking water with \(1 \mathrm{ppm}\) fluoride.
iii. The maximum permissible concentration of lead in drinking water is \(50 \mathrm{ppb}\).

The formation of oxide ion \(\mathrm{O}^{2-}\) from oxygen atom requires an exothermic reaction, followed by an endothermic step as shown below. The process of formation of \(\mathrm{O}^{2-}\) in gas phase is unfavorable \(\left(\Delta H^{\ominus}=+\right.\) ve \()\), even though it has stable configuration of the nearest noble gas neon. This is because
\(\begin{aligned} & \mathrm{O}(g)+e^{-} \longrightarrow \mathrm{O}^{-}(g) ; \Delta H^{\ominus}=-141 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \mathrm{O}^{-}(g)+e^{-} \longrightarrow \mathrm{O}^{2-}(g) ; \Delta H^{\ominus}=+760 \mathrm{~kJ} \mathrm{~mol}^{-1}\end{aligned}\)

The temperature of water of mass 100 g is rasied from \(24^{\circ} \mathrm{C}\) to \(90^{\circ} \mathrm{C}\) by adding steam to it. The mass of the steam added is
(Latent heat of steam \(=540 \mathrm{cal} \mathrm{g}^{-1}\) and specific heat capacity of water \(=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\) )

Which region of the atmosphere is the
domain of all living organisms

The sum of moments of all the particles in a system about its center of mass is always______

If \(\log \sqrt{x^2+y^2}=\tan ^{-1}\left(\frac{x}{y}\right)\), then \(\frac{d y}{d x}\) is equal to

If the eccentricity of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) passing through the point \((4,6)\) is 2, then the equation of the tangent to this hyperbola at \((4,6)\) is

A uniform rod of length $l$ and density $\rho$ is revolving about a vertical axis passing through its one end. If  $\omega$ is the angular velocity of the rod then the centrifugal force per unit area of the rod is