A metal chloride contains \(55.0 \%\) of chlorine by weight.\(100\,mL\) vapours of the metal chloride at \(STP\) weigh \(0.57\,g\). The molecular formula of the metal chloride is \(...\).(Given : Atomic mass of chlorine is \(35.5\,u\) )

A non-reducing sugar \("A"\) hydrolyses to give two reducing mono saccharides. Sugar \(A\) is

The standard heat of formation \(\left(\Delta_{t} \mathrm{H}_{298}^{0}\right)\) of ethane in \((kJ/mol)\), if the heat of combustion of ethane, hydrogen and graphite are \(-1560\), \(-393.5\) and \(-286 \;\mathrm{kJ} / \mathrm{mol},\) respectively is ........... \(\mathrm{kJ/mol}\)

The correct sequence of reagents for the preparation of \(Q\) and \(R\) is :

Which of the following gives a positive test with ninhydrin?

The IUPAC name of the following compound is _______.-

A diatomic molecule has a dipole moment of \(1.2 D\). If the bond distance is \(1 \mathring A\), then fractional charge on each atom is _______ \(\times 10^{-1}\) esu. (Given \(1 \mathrm{D}=10^{-18}\) esu \(\mathrm{cm}\) )

For the reaction \(C _{2} H _{6} \rightarrow C _{2} H _{4}+ H _{2}\) the reaction enthalpy \(\Delta_{ r } H =...........{ kJ\, mol ^{-1}}\). (Round off to the Nearest Integer). [Given : Bond enthalpies in \(kJ\) \(mol\) \(^{-1}:C-C : 347, C = C : 611 ; C - H : 414, H - H : 436]\)

The limiting molar conductivities of \(NaI , NaNO _{3}\) and \(AgNO _{3}\) are \(12.7,12.0\) and \(13.3 \,m\,S m ^{2} \,mol ^{-1}\), respectively (all at \(25^{\circ} C\) ). The limiting molar conductivity of \(AgI\) at this temperature is \(....\,m\,S m ^{2}\, mol ^{-1}\)

A circular disc reaches from top to bottom of an inclined plane of length \(l\). When it slips down the plane, if takes \(\mathrm{t} \mathrm{s}\). When it rolls down the plane then it takes \(\left(\frac{\alpha}{2}\right)^{1 / 2} \mathrm{t} s\), where \(\alpha\) is. _______.

Let \(\mathrm{L}_1: \frac{x-1}{3}=\frac{y-1}{-1}=\frac{z+1}{0}\) and \(\mathrm{L}_2: \frac{x-2}{2}=\frac{y}{0}=\frac{z+4}{\alpha}, \alpha \in \mathbf{R}\), be two lines, which intersect at the point \(B\). If \(P\) is the foot of perpendicular from the point \(A(1,1,-1)\) on \(L_2\), then the value of \(26 \alpha(\mathrm{~PB})^2\) is _________

In a series \(LCR\) circuit, the inductance, capacitance and resistance are \(L =100\, mH , C =100 \mu F\) and \(R =\) \(10 \Omega\) respectively. They are connected to an \(AC\) source of voltage \(220\, V\) and frequency of \(50\, Hz\). The approximate value of current in the circuit will be.....\(A.\)

Let M denote the set of all real matrices of order \(3 \times 3\) and let \(\mathrm{S}=\{-3,-2,-1,1,2\}\). Let
\(\mathrm{S}_1=\left\{\mathrm{A}=\left[a_{\mathrm{ij}}\right] \in \mathrm{M}: \mathrm{A}=\mathrm{A}^{\mathrm{T}} \text { and } a_{\mathrm{ij}} \in \mathrm{~S}, \forall \mathrm{i}, \mathrm{j}\right\}, \)
\( \mathrm{S}_2=\left\{\mathrm{A}=\left[a_{\mathrm{ij}}\right] \in \mathrm{M}: \mathrm{A}=-\mathrm{A}^{\mathrm{T}} \text { and } a_{\mathrm{ij}} \in \mathrm{~S}, \forall \mathrm{i}, \mathrm{j}\right\}, \)
\( \mathrm{S}_3=\{\mathrm{A}=\left[a_{\mathrm{ij}}\right] \in \mathrm{M}: a_{11}+a_{22}+a_{33}=0\) and \(a_{\mathrm{ij}} \in \mathrm{~S}, \forall \mathrm{i}, \mathrm{j}\}\)
If \(n\left(\mathrm{~S}_1 \cup_2 \mathrm{US}_3\right)=125 \alpha\), then \(\alpha\) equals _______