The number of chiral centres present in \([ B ]\) is

\(X Y\) 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 :

An alkane \((Y)\) requires \(8\) moles of oxygen for complete combustion and on chlorination with Cl\(_2\)/h\(\nu\), \((Y)\) gives only one monochlorinated product \((Z)\). The total number of primary carbon atoms in \((Y)\) is __________.

"A" obtained by Ostwald's method involving air oxidation of \(NH _3\), upon further air oxidation produces "B". "B" on hydration forms an oxoacid of Nitrogen along with evolution of "A". The oxoacid also produces "A" and gives positive brown ring test

Consider the graph of \(G i b b s\) free energy \(G\) vs Extent of reaction. The number of statement/s from the following which are true with respect to points \((a), (b)\) and \((c)\) is \(.................\) \(A.\)Reaction is spontaneous at \((a)\) and \((b)\) \(B.\)Reaction is at equilibrium at point \((b)\) and nonspontaneous at point \((c)\) \(C.\)Reaction is spontaneous at \((a)\) and nonspontaneous at \((c)\) \(D.\)Reaction is non-spontaneous at \((a)\) and \((b)\)

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields?
A. \(\mathrm{n}=1, \mathrm{l}=0, \mathrm{~m}_1=0\)
B. \(\mathrm{n}=2, \mathrm{l}=0, \mathrm{~m}_1=0\)
C. \(\mathrm{n}=2, \mathrm{l}=1, \mathrm{~m}_1=1\)
D. \(\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=1\)
E. \(\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=0\)
Choose the correct answer from the options given below:

\(200\; mL\) of \(0.01\; M\; HCl\) is mixed with \(400 \;mL\) of \(0.01\; M\; H _{2} SO _{4}\). The \(pH\) of the mixture is

A charge \(Q\) is moving \(\overrightarrow{dl}\) distance in the magnetic field \(\overrightarrow{ B }\). Find the value of work done by \(\overrightarrow{ B }\).

Let \(f\left( x \right) = \int\limits_0^x {g\left( t \right)dt} \), where \(g\) is a non zero even function. If \(f(x+5) = g(x)\) , then \(\int\limits_0^x {f\left( t \right)dt} \) equals

Let \(\quad f(x)=\left|\begin{array}{ccc}1+\sin ^2 x & \cos ^2 x & \sin 2 x \\ \sin ^2 x & 1+\cos ^2 x & \sin 2 x \\ \sin ^2 x & \cos ^2 x & 1+\sin 2 x\end{array}\right|\), \(x \in\left[\frac{\pi}{6}, \frac{\pi}{3}\right]\). If \(\alpha\) and \( \beta\) respectively are the maximum and the minimum values of \(f\), then

The number of critical points of the function \(f(x)=(x-2)^{2 / 3}(2 x+1)\) is :

A liquid drop having \(6\) excess electrons is kept stationary under a uniform electric field of \(25.5\, k\,Vm^{-1}\) . The density of liquid is \(1.26\times10^3\, kg\, m^{-3}\) . The radius of the drop is (neglect buoyancy)

\('X'\) melts at low temperature and is a bad conductor of electricity in both liquid and solid state. \(X\) is