The logarithm of equilibrium constant for the reaction \(Pd ^{2+}+4 Cl ^{-} \rightleftharpoons PdCl _4^{2-}\) is (Nearest integer) Given \(: \frac{2.303 RT }{ F }=0.06 V\) \(Pd _{( aq )}^{2+}+2 e ^{-} \rightleftharpoons Pd ( s ) \quad E ^{\circ}=0.83\,V\) \(PdCl _4^{2-}( aq )+2 e ^{-} \rightleftharpoons Pd ( s )+4 Cl ^{-}( aq )\) \(E ^{\circ}=0.65\,V\)

The energy of one mole of photons of radiation of wavelength \(300 nm\) is ...... \(kJ \,mol ^{-1}\).  (Given : \(h =6.63 \times 10^{-34} \,Js , N _{ A }=6.02 \times 10^{23} \,mol ^{-1}\), \(c =3 \times 10^{8}\, ms ^{-1}\) )

\(0.01\) moles of a weak acid \(HA \left( K _{ a }=2.0 \times 10^{-6}\right)\) is dissolved in \(1.0\, L\) of \(0.1\, M\, HCl\) solution. The degree of dissociation of \(HA\) is ............. \(\times 10^{-5}\) (Round off to the Nearest Integer). [Neglect volume change on adding \(HA\). Assume degree of dissociation \(<< 1]\)

Which one of the following statements not true\(?\)

Given below are the two statements: one is labeled as Assertion \((A)\) and the other is labeled as Reason \((R)\). Assertion \((A)\): There is a considerable increase in covalent radius from \(\mathrm{N}\) to \(\mathrm{P}\). However from \(As\) to \(Bi\) only a small increase in covalent radius is observed. Reason \((R)\): covalent and ionic radii in a particular oxidation state increases down the group. In the light of the above statement, choose the most appropriate answer from the options given below:

Following figure shows dependence of molar conductance of two electrolytes on concentration. \(\Lambda \stackrel{0}{ m }\) is the limiting molar conductivity.The number of Incorrect statement(s) from the following is \(...........\) \((A)\) \(\Lambda \stackrel{0}{ m }\) for electrolyte \(A\) is obtained by extrapolation \((B)\) For electrolyte B, vx \(\Lambda m\) vs \(\sqrt{ c }\) graph is a straight line with intercept equal to \(\Lambda \stackrel{0}{ m }\) \((C)\) At infinite dilution, the value of degree of dissociation approach zero for electrolyte \(B\). \((D)\) \(\Lambda \stackrel{0}{ m }\) for any electrolyte \(A\) or \(B\) can be calculated using \(\lambda^{\circ}\) for individual ions.

For reaction

The correct order of set of reagents for the above conversion is _______.

The energy band gap of semiconducting material to produce violet (wavelength \(=4000 \,A^{\circ}\) ) LED is \(.......eV\). (Round off to the nearest integer).

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is \(5 \,m ,\) while the distance between one crest and one trough is \(1.5 \,m\) The possible wavelengths (in \(m\) ) of the waves are

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

List \(I\)	List \(II\)
\(A.\) Invertase	\(I.\) Starch into maltose
\(B.\) Zymase	\(II.\) Maltose into glucose
\(C.\) Diastase	\(III.\) Glucose into ethanol
\(D.\) Maltase	\(IV.\) Cane sugar into glucose

Choose the most appropriate answer from the options given below

The distance between object and its two times magnified real image as produced by a convex lens is \(45 \mathrm{~cm}\). The focal length of the lens used is _______ \(\mathrm{cm}\).

The initial velocity \(v_{i}\) required to project a body vertically upward from the surface of the earth to reach a height of \(10\, R ,\) where \(R\) is the radius of the earth, may be described in terms of escape velocity \(v_{ e }\) such that \(v_{i}=\sqrt{\frac{x}{y}} \times v_{ e } .\) The value of \(x\) will be ...... .

The alternating current is given by \({i}=\left\{\sqrt{42} \sin \left(\frac{2 \pi}{{T}} {t}\right)+10\right\} {A}\) The \(r.m.s.\) value of this current is \({A}\)