The spin only magnetic moment of the complex present in Fehling's reagent is \(B.M.\)(Nearest integer).

Total number of relatively more stable isomer(s) possible for octahedral complex \(\left[ Cu ( en )_{2}( SCN )_{2}\right]\) will be \(.........\)

The electron in the \(n ^{\text {th }}\) orbit of \(Li ^{2+}\) is excited to \((n+1)\) orbit using the radiation of energy \(1.47 \times 10^{-17}\,J\) (as shown in the diagram). The value of \(n\) is \(....\).Given \(R_H=2.18 \times 10^{-18}\,J\)

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)

Given below are two statements :
Statement (I): The metallic radius of Al is less than that of Ga.
Statement (II) : The ionic radius of \(\mathrm{Al}^{3+}\) is less than that of \(\mathrm{Ga}^{3+}\).
In the light of the above statements, choose the most appropriate answer from the options given below :

\(2.7 \mathrm{Kg}\) of each of water and acetic acid are mixed, The freezing point of the solution will be \(-\mathrm{x}^{\circ} \mathrm{C}\). Consider the acetic acid does not dimerise in water, nor dissociates in water \(\mathrm{x}=\) _______ (nearest integer) [Given : Molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\), acetic acid \(=60 \mathrm{~g} \mathrm{~mol}^{-1}\) ] \({ }^{\mathrm{K}_{\mathrm{f}}} \mathrm{H}_2 \mathrm{O}: 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) \(\mathrm{K}_{\mathrm{r}}\) acetic acid : \(3.90 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) freezing point: \(\mathrm{H}_2 \mathrm{O}=273 \mathrm{~K}\), acetic acid \(=290 \mathrm{~K}\) ]

Which of the following is NOT an example of fibrous protein?

\(Y = A \sin \left(\omega t +\phi_{0}\right)\) is the time-displacement equation of a SHM. At \(t=0\) the displacement of the particle is \(Y =\frac{ A }{2}\) and it is moving along negative \(x\) -direction. Then the initial phase angle \(\phi_{0}\) will be ...... .

A string of area of cross-section \(4\,mm ^{2}\) and length \(0.5\) is connected with a rigid body of mass \(2\,kg\). The body is rotated in a vertical circular path of radius \(0.5\,m\). The body acquires a speed of \(5\,m / s\) at the bottom of the circular path. Strain produced in the string when the body is at the bottom of the circle is \(\ldots . . \times 10^{-5}\). (Use Young's modulus \(10^{11}\,N / m ^{2}\) and \(g =10\,m / s ^{2}\) )

A plane containing the point \((3, 2, 0)\) and the line \(\frac{{x - 1}}{1} = \frac{{y - 2}}{5} = \frac{{z - 3}}{4}\) also contains the point

The reaction rate for the reaction \(\left[\mathrm{PtCl}_{4}\right]^{2-}+\mathrm{H}_{2} \mathrm{O} \rightleftharpoons\left[\mathrm{Pt}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}_{3}\right]^{-}+\mathrm{Cl}^{-}\) was measured as a function of concentrations of different species. It was observed that \(\frac{-\mathrm{d}\left[\left[\mathrm{PtCl}_{4}\right]^{2-}\right]}{\mathrm{dt}}=4.8 \times 10^{-5}\left[\left[\mathrm{PtCl}_{4}\right]^{2-}\right]-2.4 \times10^{-3}\)
\(\left[\left[\mathrm{Pt}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}_{3}\right]^{-}\right]\left[\mathrm{Cl}^{-}\right]\) where square brackets are used to denote molar concentrations. The equilibrium constant \(\mathrm{K}_{\mathrm{c}}=....\). (Nearest integer)

Four bulbs \(B_1 , B_2, B_3\) and \(B_4\) of \(100\, W\) each are connected to \(220\, V\) main as shown in the figure. The reading in an ideal ammeter will be ............... \(A\)

Identify correct statement from the following:
A. Propanal and propanone are functional isomers.
B. Ethoxyethane and methoxypropane are metamers.
C. But-2-ene shows optical isomerism.
D. But-1-ene and but-2-ene are functional isomers.
E. Pentane and 2, 2-dimethyl propane are chain isomers.
Choose the correct answer from the options given below: