Integrated rate law equation for a first order gas phase reaction is given by: (where \(P_i\) is initial pressure and \(P_t\) is total pressure at time \(t\) )

Among the statements \((a)-(d)\), the incorrect ones are \((a)\) Octahedral \(Co(III)\) complexes with strong field ligands have very high magnetic moments \((b)\) When \(\Delta_{0}< P\), the \(d-\)electron configuration of \(Co(III)\) in an octahedral complex is \(t_{\text {eg }}^{4} e_{g}^{2}\) \((c)\) Wavelength of light absorbed by \(\left[\mathrm{Co}(\mathrm{en})_{3}\right]^{3+}\) is lower than that of \(\left[\mathrm{CoF}_{6}\right]^{3-}\) \((d)\) If the \(\Delta_{0}\) for an octahedral complex of \(\mathrm{Co}(\mathrm{III})\) is \(18,000 \;\mathrm{cm}^{-1},\) the \(\Delta_{\mathrm{t}}\) for its tetrahedral complex with the same ligand will be \(16,000\;\mathrm{cm}^{-1}\)

Half life of zero order reaction \(\mathrm{A} \rightarrow\) product is 1 hour, when initial concentration of reaction is \(2.0 \mathrm{~mol} \mathrm{~L} \mathrm{~L}^{-1}\). The time required to decrease concentration of A from 0.50 to \(0.25 \mathrm{~mol} \mathrm{~L}^{-1}\) is _______.

Number of molecules from the following which can exhibit hydrogen bonding is _______. (nearest integer)

If the principal quantam number \(n=6,\) the correct sequence of filling of electron will be

The percentage dissociation of a salt \(\left(\mathrm{MX}_3\right)\) solution at given temperature (van't Hoff factor \(\mathrm{i}=\) 2) is ______ % (Nearest integer)

Sea water contains \(29.25 \%\) \(NaCl\) and \(19 \%  \,MgCl _2\) by weight of solution. The normal boiling point of the sea water is \(..........{ }^{\circ} C\) (Nearest integer) Assume \(100 \%\) ionization for both \(NaCl\) and \(MgCl _2\) Given : \(K _{ b }\left( H _2 O \right)=0.52\,K\,kg\,mol ^{-1}\) Molar mass of \(NaCl\) and \(MgCl _2\) is 58.5 and \(95\,g\) \(mol ^{-1}\) respectively.

Let the sum of the first \(n\) terms of an A.P. be \(3n^2 + 5n\). Then the sum of squares of the first \(10\) terms of the A.P. is:

If \({E}\) and \({H}\) represents the intensity of electric field and magnetising field respectively, then the unit of \(E/H\) will be :

Let \(A\) and \(B\) be two events such that the probability that exactly one of them occurs is \(\frac{2}{5}\) and the probability that \(A\) or \(B\) occurs is \(\frac{1}{2}\) then the probability of both of them occur together is

All resistances in figure are \(1\,\Omega\) each. The value of current ' \(I\) ' is \(\frac{a}{5}\,A\). The value of \(a\) is

An inductor \((L = 0.03\;H)\) and a resistor \((R = 0.15 k\Omega )\) are connected in series to a battery of \(15\;V\) \(EMF\) in a circuit shown below. The key \(K_1\) has been kept closed for a long time. Then at \(t = 0\), \(K_1\) is opened and key \(K_2\) is closed simultaneously. At \(t = 1 \;ms\), the current in the circuit will be ........... \(mA\). (\({e^5} \cong 150)\)

Only litre buffer solution was prepared by adding 0.10 mol each of \(\mathrm{NH}_3\) and \(\mathrm{NH}_4 \mathrm{Cl}\) in deionised water. The change in pH on addition of 0.05 mol of HCl to the above solution is ________ \(\times 10^{-2}\), (Nearest integer) (Given : \(\mathrm{pK}_{\mathrm{b}}\) of \(\mathrm{NH}_3=4.745\) and \(\log _{10} 3=0.477\))