The product obtained from the electrolytic oxidation of acidified sulphate solution, is:

The electron gain enthalpy (in \(kJ/mol\)) of fluorine, chlorine, bromine and iodine, respectively are

Outermost electronic configuration of a group \(13\) element, \(E\), is \(4 \,\mathrm{~s}^{2}, 4 p^{1}\). The electronic configuration of an element of \(p\)-block period-five placed diagonally to element, \(E\) is :

Which of the following is not formed when \(H_2S\) reacts with acidic \(K_2Cr_2O_7\) solution ?

For the following Friedel Craft's alkylation reaction, which of the statements are correct?

A. Major product is n-propyl benzene.
B. iso-propyl carbocation intermediate is also generated.
C. Multiple substitution is inevitable.
D. Introducing electron-donating substituent on benzene will not produce any alkyl benzene.
Choose the correct answer from the options given below:

The number of significant figures in \(50000.020 \times 10^{-3}\) is ..... .

Arrange the following bonds according to their average bond energies in descending order  \(\mathrm{C}-\mathrm{Cl}, \mathrm{C}-\mathrm{Br}, \mathrm{C}-\mathrm{F}, \mathrm{C}-\mathrm{I}\)

Let \(P(4, -4)\) and \(Q(9, 6)\) be two points on the parabola, \(y^2 = 4x\) and let \(X\) be any point on the arc \(POQ\) of this parabola, where \(O\) is the vertex of this parabola, such that the area of \(\Delta PXQ\) is maximum. Then this maximum Area (in sq. units) is

For a first order reaction, \(A\to  P\), \(t_{1/2}\) (half-life) is\(10\,days\). The time required for \(\frac{{{1^{th}}}}{4}\) conversion of \(A\) (in days) is: \((\ln\, 2\, = 0.693,\, \ln\, 3\, = 1.1)\).

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 :

If the shortest distance between the straight lines \(3(x-1)=6(y-2)=2(z-1)\) and \(4(\mathrm{x}-2)=2(\mathrm{y}-\lambda)=(\mathrm{z}-3), \lambda \in \mathrm{R}\) is \(\frac{1}{\sqrt{38}}\), then the integral value of \(\lambda\) is equal to :

If \(0<\theta, \phi<\frac{\pi}{2}, x =\sum_{ n =0}^{\infty} \cos ^{2 n } \theta, y =\sum_{ n =0}^{\infty} \sin ^{2 n } \phi\) and \(z =\sum_{ n =0}^{\infty} \cos ^{2 n } \theta \cdot \sin ^{2 n } \phi\) then

Which of the following are correct expression for torque acting on a body?
A. \(\vec{\tau}=\vec{r}\times\vec{L}\)
B. \(\vec{\tau}=\frac{\mathrm{d}}{\mathrm{dt}}(\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}})\)
C. \(\vec{\tau}=\overrightarrow{\mathrm{r}} \times \frac{\mathrm{d} \mathrm{p}}{\mathrm{dt}}\)
D. \(\vec{\tau}=\mathrm{I} \vec{\alpha}\)
E. \(\vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{F}}\)
( \(\overrightarrow{\mathrm{r}}=\) position vector; \(\overrightarrow{\mathrm{p}}=\) linear momentum;
\(\overrightarrow{\mathrm{L}}=\) angular momentum; \(\vec{\alpha}=\) angular acceleration;
\(I=\) moment of inertia; \(\vec{F}=\) force; \(t=\) time)
Choose the correct answer from the options given below :