At \(25^{\circ} \mathrm{C}\), the percentage of ionization of ' \(x\) ' M acetic acid is 4.242. What is the value of \(x ?\left(\mathrm{~K}_{\mathrm{a}}=1.8 \times 10^{-5}\right)\)

In aqueous glucose solution, the mole fraction of water is 40 times to mole fraction of glucose. What is the weight percentage (w/w) of glucose in the solution?

The IUPAC name of the compound \(\left(\mathrm{CH}_3\right)_2 \mathrm{CH}-\mathrm{CH}=\mathrm{CH}-\mathrm{CHOH}-\mathrm{CH}_3\) is

\(\mathrm{K}_{\mathrm{H}}\) values for \(\mathrm{H}_2, \mathrm{CO}_2, \mathrm{CH}_4\) and \(\mathrm{O}_2\) at \(298 \mathrm{~K}\) are \(71.18,1.67,41.85\) and \(34.86 \mathrm{Kbar}\). respectively. Arrange these gases in the increasing order of their solubility.

Match the following reagents with the products obtained when they reacted with a ketone.
\begin{array}{|l|l|l|l|}\hline {|c|}{ List-I } & {c|}{ List-II } \\\hline A. & \mathrm{C}_6 \mathrm{H}_5 \mathrm{NHNH}_2 & I. & Schiff base \\\hline B. & \mathrm{NH}_2 \mathrm{OH} & II. & Hydrazone \\\hline C. & \mathrm{C}_6 \mathrm{H}_5 \mathrm{NH}_2 & III. & Oxime \\\hline & & IV. & Phenyl hydrazone \\\hline\end{array}
Correct answer is

The wavelengths of electron waves in two orbits is \(3: 5\). The ratio of kinetic energy of electrons will be

\(\mathrm{K}_{\mathrm{c}}\) for the following reaction is 99.0
\(\mathrm{A}_2(\mathrm{~g}) \stackrel{\mathrm{T}(\mathrm{~K})}{\rightleftharpoons} \mathrm{B}_2(\mathrm{~g})\)
In a one litre flask, 2 moles of \(\mathrm{A}_2\) was heated to \(\mathrm{T}(\mathrm{K})\) and the above equilibrium is reached. The concentrations at equilibrium of \(\mathrm{A}_2\) and \(\mathrm{B}_2\) are \(\mathrm{C}_1\left(\mathrm{~A}_2\right)\) and \(\mathrm{C}_2\left(\mathrm{~B}_2\right)\) respectively. Now, one mole of \(\mathrm{A}_2\) was added to flask and heated to \(\mathrm{T}(\mathrm{K})\) to establish the equilibrium again. The concentrations of \(\mathrm{A}_2\) and \(\mathrm{B}_2\) are \(\mathrm{C}_3\left(\mathrm{~A}_2\right)\) and \(\mathrm{C}_4\left(\mathrm{~B}_2\right)\) respectively. What is the value of \(\mathrm{C}_3\left(\mathrm{~A}_2\right)\) in \(\mathrm{mol}^{-1}\) ?

The magnetic field due to current carrying a circular loop of radius \(5 \mathrm{~cm}\) at a point on the axis at a distance of \(12 \mathrm{~cm}\) from the centre is \(250 \mu \mathrm{T}\). The magnetic field at the centre of the loop is

Assertion (A): \(\int_{\frac{\pi}{2}}^{\frac{3 \pi}{2}}[2 \sin x] d x=0\), where [.] denotes the greatest integer function

Reason (R) : \(2 \sin x\) is a decreasing function in \(\left[\frac{\pi}{2}, \frac{3 \pi}{2}\right]\)

The point \((3,4)\) is the focus and \(2 x-3 y+5=0\) is the directrix of a parabola. Its latusrectum is

Observe the following reactions. Identify the reaction in which the hybridisation of underlined atom is changed

If a person moving along a straight line path covers first half distance with velocity ' \(\mathrm{V}_1\) ' and the next half distance with velocity ' \(\mathrm{V}_2\) ', then the average velocity of the person is

A man \(2 \mathrm{~m}\) tall, walks at the rate of \(1 \frac{2}{3} \mathrm{~m} / \mathrm{s}\) towards a street light which is \(5 \frac{1}{3} \mathrm{~m}\) above the ground. The rate at which the length of his shadow is changing when he is \(3 \frac{1}{3} \mathrm{~m}\) away from the base of the light is ____