The atomic number of Unnilunium is...........

Among the following oxides of 3d elements, the number of mixed oxides are _______
\(Ti_{2}O_{3}, V_{2}O_{4}, Cr_{2}O_{3}, Mn_{3}O_{4}, Fe_{3}O_{4}, Fe_{2}O_{3}, Co_{3}O_{4}\)

The shape/structure of \(\left[ XeF _{5}\right]^{-}\) and \(XeO _{3} F _{2}\)
respectively, are :

Which of the following \(3 d -m e t a l\) ion will give the lowest enthalpy of hydration \((\Delta_{ hyd } H )\) when dissolved in water?

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:

The strongest conjugate acid will result from:

Consider the sulphides \(\mathrm{HgS}, \mathrm{PbS}, \mathrm{CuS}, \mathrm{Sb}_{2} \mathrm{~S}_{3}\), \(\mathrm{As}_{2} \mathrm{~S}_{3}\) and \(\mathrm{CdS}\). Number of these sulphides soluble in \(50\, \% \,\mathrm{HNO}_{3}\) is .... .

On the ellipse \(\frac{x^{2}}{8}+\frac{y^{2}}{4}=1\) let \(P\) be a point in the second quadrant such that the tangent at \(\mathrm{P}\) to the ellipse is perpendicular to the line \(x+2 y=0\). Let \(S\) and \(\mathrm{S}^{\prime}\) be the foci of the ellipse and \(\mathrm{e}\) be its eccentricity. If \(\mathrm{A}\) is the area of the triangle \(SPS'\) then, the value of \(\left(5-\mathrm{e}^{2}\right) . \mathrm{A}\) is :

A copper wire of length \(3\text{ m}\) is stretched by \(3\text{ mm}\) by applying an external force. The volume of the wire is \(600 \times 10^{-6}\text{ m}^3\). The elastic potential energy stored in the wire in stretched condition would be _______ J.
(Given Young modulus of copper \(= 1.1 \times 10^{11}\text{ N/m}^2\))

In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted in green colour salt bead. The spin-only magnetic moment value of the salt is _______ BM.
(Nearest integer)
[Given atomic number of \(Cu =29, Ni =28, Mn =25, Fe =26\) ]

Let \(O\) be the origin and \(A\) be the point \(z _{1}=1+2 i\). If \(B\) is the point \(z _{2}, \operatorname{Re}\left( z _{2}\right)<0\), such that \(OAB\) is a right angled isosceles triangle with \(OB\) as hypotenuse, then which of the following is NOT true?

Energy of \(10\) non rigid diatomic molecules at temperature \(\mathrm{T}\) is _______.

The solubility of \(Ca ( OH )_{2}\) in water is ....... . [Given : The solubility product of \(Ca ( OH )_{2}\) in water \(\left.=5.5 \times 10^{-6}\right]\)