The major product obtained in the photo catalysed bromination of \(2-\) methylbutane is

Considering acetic acid dissociates in water, its dissociation constant is \(6.25 \times 10^{-5}\). If \(5 \mathrm{~mL}\) of acetic acid is dissolved in \(1\) litre water, the solution will freeze at \(-\mathrm{x} \times 10^{-2}{ }^{\circ} \mathrm{C}\), provided pure water freezes at \(0^{\circ} \mathrm{C}\). \(\mathrm{x}=\) _______ (Nearest integer) Given : \(\left(\mathrm{K}_{\mathrm{r}}\right)_{\text {water }}=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\). density of acetic acid is \(1.2 \mathrm{~g} \mathrm{~mol}^{-1}\) molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\). molar mass of acetic acid \(=60 \mathrm{~g} \mathrm{~mol}^{-1}\). density of water \(=1 \mathrm{~g} \mathrm{~cm}^{-3}\) Acetic acid dissociates as \(\mathrm{CH}_3 \mathrm{COOH} \rightleftharpoons \mathrm{CH}_3 \mathrm{COO}^{\oplus}+\mathrm{H}^{\oplus}\)

Choose the polar molecule from the following :

What are the functional groups present in the structure of maltose \(?\)

In which of the following reactions the hydrogen peroxide acts as a reducing agent?

Match List - I with List - II.


Choose the correct answer from the options given below :

For the reaction : \(Fe _{2} N ( s )+\frac{3}{2} H _{2}( g ) \rightleftharpoons 2 Fe ( s )+ NH _{3}( g )\)

The number of correct statement/s from the following is _____ .
Larger the activation energy, smaller is the value of the rate constant.
The higher is the activation energy, higher is the value of the temperature coefficient.
At lower temperatures, increase in temperature causes more change in the value of  k  than at higher temperature.
A plot of \(\ln k\) vs \(\frac{1}{T}\) is a straight line with slope equal to \(-\frac{ Ea }{ R }\)

Both the nucleus and the atom of some element are in their respective first excited states. They get de-excited by emitting photons of wavelengths \(\lambda _N,\,\lambda _A\)  respectively. The ratio \(\frac{{{\lambda _N}}}{{{\lambda _A}}}\)  is closest to

A uniform bar of length 12 cm and mass 20 m lies on a smooth horizontal table. Two point masses m and 2 m are moving in opposite directions with same speed of v and in the same plane as the bar. These masses strike the bar simultaneously and get stuck to it. After collision the entire system is rotating with angular frequency \( \omega \). The ratio of v and \( \omega \) is:

At any instant the velocity of a particle of mass \(500\,g\) is \(\left(2 t \hat{ i }+3 t ^2 \hat{ j }\right)\,ms ^{-1}\). If the force acting on the particle at \(t=1 s\) is \((\hat{i}+x \hat{j}) N\). Then the value of \(x\) will be:

The area of the region, enclosed by the circle  \(\mathrm{x}^{2}+\mathrm{y}^{2}=2\) which is not common to the region bounded by the parabola \(y^{2}=x\) and the straight line \(\mathrm{y}=\mathrm{x},\) is

Let \(f(x)=\int x^3 \sqrt{3-x^2} d x\). If \(5 f(\sqrt{2})=-4\), then \(f(1)\) is equal to