0.1 mole of compound ' S ' will weigh _______ g. (Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1} \mathrm{C}: 12, \mathrm{H}: 1, \mathrm{O}: 16\))

Match List \(I\) with List \(II\)

List \(I\) (Coordination entity)	List \(II\) (Wavelength of light absorbed in \(nm\))
\(A\) \({\left[ CoCl \left( NH _3\right)_5\right]^{2+}}\)	\(I\) \(310\)
\(B\) \({\left[ Co \left( NH _3\right)_6\right]^{3+}}\)	\(II\) \(475\)
\(C\) \({\left[ Co ( CN )_6\right]^{3-}}\)	\(III\) \(535\)
\(D\) \({\left[ Cu \left( H _2 O \right)_4\right]^{2+}}\)	\(IV\) \(600\)

Choose the correct answer from the options given below

The metal ions that have the calculated spin only magnetic moment value of 4.9 B.M. are _______.
A. \(\mathrm{Cr}^{2+}\)
B. \(\mathrm{Fe}^{2+}\)
C. \(\mathrm{Fe}^{3+}\)
D. \(\mathrm{Co}^{2+}\)
E. \(\mathrm{Mn}^{3+}\)
Choose the correct answer from the options given below.

Given below are two statements :
Statement (I) : Nitrogen, sulphur, halogen and phosphorus present in an organic compound are detected by Lassaigne's Test.
Statement (II) : The elements present in the compound are converted from covalent form into ionic form by fusing the compound with Magnesium in Lassaigne's test.
In the light of the above statements, choose the correct anower from the options given below :

The Born-Haber cycle for \(\mathrm{KCl}\) is evaluated with the following data : \(\Delta_{f} \mathrm{H}^{\ominus}\) for \(\mathrm{KCl}=-436.7 \,\mathrm{~kJ}\, \mathrm{~mol}^{-1}\) \(\Delta_{\text {sub }} \mathrm{H}^{\ominus}\) for \(\mathrm{K}=89.2 \,\mathrm{~kJ}\, \mathrm{~mol}^{-1}\) \(\Delta_{\text {ionization }} \,\mathrm{H}^{-}\) for \(\mathrm{K}=419.0\, \mathrm{~kJ}\, \mathrm{~mol}^{-1}\) \(\Delta_{\text {electron gain }} \mathrm{H}^{\ominus}\) for \(\mathrm{Cl}_{(\text {e) }}=-348.6 \,\mathrm{~kJ} \,\mathrm{~mol}^{-1}\) \(\Delta_{\mathrm{bond}} \mathrm{H}^{-}\) for \(\mathrm{Cl}_{2}=243.0 \,\mathrm{~kJ} \,\mathrm{~mol}^{-1}\) The magnitude of lattice enthalpy of \(\mathrm{KCl}\) in \(\mathrm{kJ} \mathrm{mol}^{-1}\) is ..... . (Nearest integer)

The mass of zinc produced by the electrolysis of zinc sulphate solution with a steady current of \(0.015\ A\) for \(15\) minutes is _______ \(\times 10^{-4} \mathrm{~g}\).\((\) Atomic mass of zinc \(=65.4 \ \mathrm{amu})\)

In the following reaction ' \(X\) ' is \(CH _3\left( CH _2\right)_4 CH _3 \xrightarrow[HCl,\Delta]{Anhy.AlCl_3} X\)

\([Ni(PPh_{3})_{2}Cl_{2}]\) is a paramagnetic complex. Identify the INCORRECT statements about this complex.
A. The complex exhibits geometrical isomerism.
B. The complex is white in colour.
C. The calculated spin-only magnetic moment of the complex is 2.84 BM.
D. The calculated CFSE (Crystal Field Stabilization Energy) of Ni in this complex is \(-0.8 \Delta_0\).
E. The geometrical arrangement of ligands in this complex is similar to that in \(Ni(CO)_{4}\).
Choose the correct answer from the options given below:

Arrange the following elements in the increasing order of number of unpaired electrons in it. \((A)\) \(\mathrm{Sc}\)      \((B) \mathrm{Cr}\)      \((C) \mathrm{V}\)      \((D)\) \(\mathrm{Ti}\)      \((E)\) \(\mathrm{Mn}\) Choose the correct answer from the options given below:

A particle undergoing simple harmonic motion has time dependent displacement given by \(x(t)\, = \,A\,\sin \,\frac{{\pi t}}{{90}}\). The ratio of kinetic to potential energy \(o\) the particle at \(t=210\,s\) will be

If one of the diameters of the circle \(x^{2}+y^{2}-2 x-6 y+6=0\) is a chord of another circle \('C'\), whose center is at \((2,1),\) then its radius is..........

Let \(S=\left\{Z \in C: \bar{z}=i\left(z^2+\operatorname{Re}(\bar{z})\right)\right\}\). Then \(\sum_{z \in S}|z|^2\) is equal to

An \(AC\) circuit has \(R =100 \Omega, C =2\, \mu F\) and \(L =80\, mH ,\) connected in series. The quality factor of the circuit is\(.......\)