For a certain first order reaction \(32 \%\) of the reactant is left after \(570 \,s\). The rate constant of this reaction is ...........  \(\times 10^{-3} s ^{-1}\). (Round off to the Nearest Integer). \(\left[\right.\) Given \(\left.: \log _{10} 2=0.301, \ln 10=2.303\right]\)

An aqueous solution of \(\mathrm{NiCl}_{2}\) was heated with excess sodium cyanide in presence of strong oxidizing agent to form \(\left[\mathrm{Ni}(\mathrm{CN})_{6}\right]^{2-}\). The total change in number of unpaired electrons on metal centre is \(.....\)

If \(\lambda_0\) and \(\lambda \) be threshold wavelength and wavelength of incident light, the velocity of photoelectron ejected from the metal surface is

In chromyl chloride, the number of d-electrons present on chromium is same as in (Given at no. of \(Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26)\)

Given below are two statements, one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\) : Order of acidic nature of the following compounds is \(A > B > C\). \(image\) Reason \(R\) : Fluoro is a stronger electron withdrawing group than Chloro group. In the light of the above statements, choose the correct answer from the options given below:

Using the rules for significant figures, the correct answer for the expression \(\frac{0.02858 \times 0.112}{0.5702}\) will be .... .

\(X Y\) is the membrane / partition between two chambers 1 and 2 containing sugar solutions of concentration \(c_1\) and \(c_2\left(c_1 \gt c_2\right) \mathrm{mol} \mathrm{L}^{-1}\). For the reverse osmosis to take place identify the correct condition
(Here \(p_1\) and \(p_2\) are pressures applied on chamber 1 and 2)

(A) Membrane/Partition; Cellophane, \(\mathrm{p}_1 \gt \pi\)
(B) Membrane/Partition ; Porous. \(\mathrm{p}_2 \gt \pi\)
(C) Membrane/Partition ; Parchment paper, \(\mathrm{p}_1 \gt \pi\)
(D) Membrane/Partition : Cellophane, \(\mathrm{p}_2 \gt \pi\)
Choose the correct answer from the option given below :

In an experiment to determine the Young's modulus, steel wires of five different lengths \((1,2,3,4\) and \(5\,m )\) but of same cross section \(\left(2\,mm ^{2}\right)\) were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is \(x \times 10^{11}\,Nm ^{-2}\), then the value of \(x\) is

Let the system of equations \(x+2 y+3 z=5\), \(2 x+3 y+z=9,4 x+3 y+\lambda z=\mu\) have infinite number of solutions. Then \(\lambda+2 \mu\) is equal to :

Consider the cell at \(25^{\circ} \mathrm{C}\) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}(\mathrm{aq}),(1 \mathrm{M}) \| \mathrm{Fe}^{3+}(\mathrm{aq}), \mathrm{Fe}^{2+}(\mathrm{aq})\right| \mathrm{Pt}(\mathrm{s})\) The fraction of total iron present as \(\mathrm{Fe}^{3+}\) ion at the cell potential of \(1.500\, \mathrm{~V}\) is \(\mathrm{X} \times 10^{-2}\). The value of \(x\) is \(.....\) (Nearest integer). \(\left(\right.\) Given \(\left.E_{\mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}}^{0}=0.77\, \mathrm{~V}, \mathrm{E}_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{0}=-0.76 \,\mathrm{~V}\right)\)

In a cuboid of dimension \(2 L \times 2 L \times L\), a charge \(q\) is placed at the centre of the surface ' \(S\) ' having area of \(4 L ^2\). The flux through the opposite surface to ' \(S\) ' is given by

In a physical balance working on the principle of moments, when \(5\, mg\) weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just \(10 \%\) of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser need to be rotated further to reduce the output intensity to be zero, is.....\(^o\)