A solution is prepared by dissolving \(0.6\, g\) of urea (molar mass \(= 60\, g\, mol^{-1}\)) and \(1.8\, g\) of glucose (molar mass \(= 180\, g\, mol^{-1}\)) in \(100\, mL\) of water at \(27\,^oC\). The osmotic pressure of the solution is : ............. \(\mathrm{atm}\) \((R = 0.08206\, L\, atm\, K^{-1}\, mol^{-1})\)

The correct order of \(\left[\mathrm{FeF}_6\right]^{3-},\left[\mathrm{CoF}_6\right]^{3-},\left[\mathrm{Ni}(\mathrm{CO})_4\right]\) and \(\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}\) complex species based on the number of unpaired electrons present is which?

Which of the following statement is true with respect to \(\mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3\) and \(\mathrm{CH}_4\) ?
A. The central atoms of all the molecules are \(\mathrm{sp}^3\) hybridized.
B. The \(\mathrm{H}-\mathrm{O}-\mathrm{H}, \mathrm{H}-\mathrm{N}-\mathrm{H}\) and \(\mathrm{H}-\mathrm{C}-\mathrm{H}\) angles in the above molecules are \(104.5^{\circ}, 107.5^{\circ}\) and \(109.5^{\circ}\), respectively.
C. The increasing order of dipole moment is \(\mathrm{CH}_4 \lt \mathrm{NH}_3 \lt \mathrm{H}_2 \mathrm{O}\).
D. Both \(\mathrm{H}_2 \mathrm{O}\) and \(\mathrm{NH}_3\) are Lewis acids and \(\mathrm{CH}_4\) is a Lewis base.
E. A solution of \(\mathrm{NH}_3\) in \(\mathrm{H}_2 \mathrm{O}\) is basic. In this solution \(\mathrm{NH}_3\) and \(\mathrm{H}_2 \mathrm{O}\) act as Lowry-Bronsted acid and base respectively.
Choose the correct answer from the options given below:

To synthesise \(1.0\) mole of \(2 -\)methylpropan\(-2-\)ol from Ethylethanoate \(.....\) equivalents of \(\mathrm{CH}_{3} \mathrm{MgBr}\) reagent will be required. (Integer value)

\(2-\) chloro \(-2-\) methylpentane on reaction with sodium methoxide in methanol yields : \((1)\,\,\begin{array}{*{20}{c}}
  {\,\,\,\,\,\,C{H_3}} \\ 
  | \\ 
  {{C_2}{H_5}C{H_2}C - OC{H_3}} \\ 
  | \\ 
  {\,\,\,\,\,\,\,\,C{H_3}} 
\end{array}\) \((2)\,\,\begin{array}{*{20}{c}}
  {{C_2}{H_5}C{H_2}C = C{H_2}} \\ 
  {\,\,\,\,|} \\ 
  {\,\,\,\,\,\,\,\,\,\,C{H_3}} 
\end{array}\) \((3)\,\,\begin{array}{*{20}{c}}
  {{C_2}{H_5}CH = C - C{H_3}} \\ 
  {\,\,\,\,\,\,\,\,\,\,\,|} \\ 
  {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}} 
\end{array}\)

An average person needs about \(10000\, \mathrm{~kJ}\) energy per day. The amount of glucose (molar mass \(=180.0\, \mathrm{~g} \,\mathrm{~mol}^{-1}\) ) needed to meet this energy requirement is \(.....\,\mathrm{g}\). (Nearest integer) (Use : \(\Delta_{\mathrm{c}} \mathrm{H}(\) glucose \()=-2700\, \mathrm{~kJ}\, \mathrm{~mol}^{-1}\) )

Cerium \((IV)\) has a noble gas configuration. Which of the following is correct statement about it?

The speed of sound in oxygen at \(S.T.P. \)will be approximately _______. (Given, \(\mathrm{R}=8.3 \mathrm{JK}^{-1}, \gamma=1.4\) )

A galvanometer having a coil resistance \(100 \;\Omega\) gives a full scale deflection when a current of \(1 \;\mathrm{mA}\) is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of \(10\; \mathrm{V} ?\)......\(k\Omega\)

All the points in the set \(S\, = \left\{ {\frac{{\alpha \, + \,i}}{{\alpha \, - \,i}}\,:\,\alpha \, \in \,R} \right\}\,(i\, = \,\sqrt { - 1} )\) lie on a

The resistance of a galvanometer is \(50\, ohm\) and the maximum current which can be passed through it is \(0.002\, A\). What resistance must be connected to it in order to convert it into an ammeter of range \(0 -0.5\, A\) ?....\(ohm\)

In a Young's double slit experiment, the slits are separated by \(0.3\, {mm}\) and the screen is \(1.5\, {m}\) away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is \(2.4\, {cm}\). The frequency of light used is \(..........\,\times 10^{14} {Hz}\)

A three coulomb charge moves from the point \((0, -2, -5)\) to the point \((5, 1, 2)\) in an electric field expressed as \(\vec{E} = 2x\hat{i} + 3y^2\hat{j} + 4\hat{k}\) N/C. The work done in moving the charge is _______ J.