Identify correct statement/s :
(A) \(-\mathrm{OCH}_3\) and \(-\mathrm{NHCOCH}_3\) are activating group.
(B) -CN and -OH are meta directing group.
(C) -CN and \(-\mathrm{SO}_3 \mathrm{H}\) are meta directing group.
(D) Activating groups act as ortho - and para directing groups.
(E) Halides are activating groups.
Choose the correct answer from the options given below :

Consider the following equation: \(2 SO _2( g )+ O _2( g ) \rightleftharpoons 2 SO _3( g ), \Delta H =-190\,kJ\) The number of factors which will increase the yield of \(SO _3\) at equilibrium from the following is \(.............\). \(A.\) Increasing temperature \(B.\) Increasing pressure \(C.\) Adding more \(SO _2\) \(D.\) Adding more \(O _2\) \(E.\) Addition of catalyst

At \(25^{\circ} C\) and \(1\, atm\) pressure, the enthalpy of combustion of benzene\(_{(l)}\) and acetylene\(_{(g)}\) are \(-3268 \,kJ\, mol ^{-1}\) and \(-1300\, kJ\, mol ^{-1}\), respectively. The change in enthalpy for the reaction \(3 C _{2} {H _{2}}_{(g)} \rightarrow C _{6} {H _{6}}_{(l)}\), is \(.....\,kJ \,mol ^{-1}\)

Which of the following statements are correct, if the threshold frequency of caesium is \(5.16 \times 10^{14} \mathrm{~Hz}\) ?
A. When Cs is placed inside a vacuum chamber with an ammeter connected to it and yellow light is focused on Cs the ammeter shows the presence of current.
B. When the brightness of the yellow light is dimmed, the value of the current in the ammeter is reduced.
C. When a red light is used instead to the yellow light, the current produced is higher with respect to the yellow light.
D. When a blue light is used, the ammeter shows the formation of current.
E. When a white light is used, the ammeter shows formation of current.
Choose the correct answer from the options given below :

\('A'\) and \('B'\) respectively are: \(A \xrightarrow[\left( 2 \right)Zn-{{H}_{2}}O]{\left( 1 \right){{O}_{3}}}\) Ethane\(-1,2-\)dicarbaldehyde \(+\) Glyoxal\(/\)Oxaldehyde \(B \xrightarrow[\left( 2 \right)Zn-{{H}_{2}}O]{\left( 1 \right){{O}_{3}}} 5-\)oxohexanal

Consider the following pairs of electrons \((A)\) \((a)\) \(n=3,1=1, m_{l}=1, m_{s}=+\frac{1}{2}\) \(\quad (b)\) \(n =3,1=2, m _{l}=1, m _{s}=+\frac{1}{2}\) \((B)\) \((a)\) \(n =3,1=2, m _{l}=-2, m _{s}=-\frac{1}{2}\) \(\quad (b)\) \(n =3,1=2, m _{l}=-1, m _{s}=-\frac{1}{2}\) \((C)\) \((a)\) \(n=4,1=2, m_{l}=2, m_{s}=+\frac{1}{2}\) \(\quad (b)\) \(n =3,1=2, m _{l}=2, m _{s}=+\frac{1}{2}\) The pairs of electron present in degenerate orbitals is/are...... .

In the Claisen-Schmidt reaction to prepare \(351 \mathrm{~g}\) of dibenzalacetone using \(87 \mathrm{~g}\) of acetone, the amount of benzaldehyde required is _______ g. (Nearest integer)

In the figure shown, the current in the \(10\, V\) battery is close to

The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is \(10\,s^{-1}\).  At, \(t = 0\) the displacement is \(5\, m\). What is the maximum acceleration ? The initial phase is \(\frac{\pi }{4}\)

For the reaction \(\mathrm{A} \rightarrow \mathrm{B}\) the following graph was obtained. The time required (in seconds) for the concentration of A to reduce to \(2.5 \mathrm{~g} \mathrm{~L}^{-1}\) (if the initial concentration of A was \(50 \mathrm{~g} \mathrm{~L}^{-1}\)) is _______ (Nearest integer)
Given : \(\log 2=0.3010\) [We can assume in a hypothetical situation that the graph is correct, assuming its first order reaction, in reality the question is wrong.]

If \(a=\sin ^{-1}(\sin (5))\) and \(b=\cos ^{-1}(\cos (5))\), then \(a^2+b^2\) is equal to

If the tangent to the conic, \(y - 6 = x^2\) at \((2, 10)\) touches the circle, \(x^2 + y^2 + 8x - 2y = k\) (for some fixed \(k\) ) at a point \((\alpha ,\,\beta );\) then \((\alpha ,\,\beta )\)  is

A tub is filled with water and a wooden cube \(10\) cm \(\times\) \(10\) cm \(\times\) \(10\) cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by \(3.87\) cm. The mass of the metal coin is _______ gram.
(Take water density as \(1\) g/cm\(^3\) and density of wood as \(0.4\) g/cm\(^3\))