Which one of the following metals forms interstitial hydride easily ?

In a nucleophilic substitution reaction \(R - Br + C{l^ - }\xrightarrow{{DMF}}R - Cl + B{r^ - }\)  , which one of the following undergoes complete inversion of configuration?

From the given list, the number of compounds with \(+4\) oxidation state of Sulphur _______.
\(\mathrm{SO}_3, \mathrm{H}_2 \mathrm{SO}_3, \mathrm{SOCl}_2, \mathrm{SF}_4, \mathrm{BaSO}_4, \mathrm{H}_2 \mathrm{~S}_2 \mathrm{O}_7\)

Amongst the following the number of oxide(s) which are paramagnetic in nature is \(Na _{2} O , KO _{2}, NO _{2}, N _{2} O , ClO _{2}, NO , SO _{2}, Cl _{2} O\)

In neutral or faintly alkaline medium, \(KMnO _{4}\) being a powerful oxidant can oxidize, thiosulphate almost quantitatively, to sulphate. In this reaction overall change in oxidation state of manganese will be

The set having ions which are coloured and paramagnetic both is :

Choose the polar molecule from the following :

A rod of linear mass density ' \(\lambda\) ' and length ' \(L\) ' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its diameter is :

Decreasing order towards \(S_N 1\) reaction for the following compounds is:

Let \(a, b\) be two real numbers such that \(a b < 0\). If the complex number \(\frac{1+ ai }{ b + i }\) is of unit modulus and \(a+i b\) lies on the circle \(|z-1|=|2 z|\), then a possible value of \(\frac{1+[ a ]}{4 b }\), where \([ t ]\) is greatest integer function, is :

A galvanometer having a resistance of \(20\,\Omega \) and \(30\, divisions\) on both sides has figure of merit \(0.005\, ampere /division\). The resistance that should be connected in series such that it can be used as a voltmeter upto \(15\, volt\) is ........... \(\Omega\)

In an electrochemical reaction of lead, at standard temperature, if \(E _{\left( Pb ^{2+} / Pb \right)}^0= m\) Volt and \(E _{\left( Pb ^{4+} / Pb \right)}^0= n\) Volt, then the value of \(E _{\left( Pb ^{2+} / Pb ^{4+}\right)}^0\) is given by \(m-x n\). The value of \(x\) is \(...........\). (Nearest integer)

Consider a frame that is made up of two thin massless rods \(AB\) and \(AC\) as shown in the figure. \(A\) vertical force \(\overrightarrow{ P }\) of magnitude \(100 \;N\) is applied at point \(A\) of the frame. Suppose the force is \(\overrightarrow{ P }\) resolved parallel to the arms \(AB\) and \(AC\) of the frame. The magnitude of the resolved component along the arm \(AC\) is \(xN\). The value of \(x\), to the nearest integer, is ............ [Given : \(\sin \left(35^{\circ}\right)=0.573, \cos \left(35^{\circ}\right)=0.819\) \(\left.\sin \left(110^{\circ}\right)=0.939, \cos \left(110^{\circ}\right)=-0.342\right]\)