The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was:

An organic compound A upon reacting with $$N{H}_3$$ gives $$B.$$ On heating $$B$$ gives $$C.$$ $$C$$ in presence of $$KOH$$ reacts with $$B{r}_2$$ to given $$C{H}_{3}C{H}_{2}N{H}_{2}2.$$ $$A$$ is :

Given $$E_{C{r}^{2+}/Cr}^o$$ = -0.74 V; $$E_{Mn{O}_4^{-}/M{n}^{2+}}^o$$ = 1.51 V $$E_{C{r}_2{O}_7^{2-}/C{r}^{3+}}^o$$ = 1.33 V; $$E_{Cl/C{l}^{-}}^o$$ = 1.36 V Based on the data given above, strongest oxidising agent will be :

Four successive members of the first row transition elements are listed below with atomic numbers. Which one of them is expected to have the highest $$E_{M^{3+}/M^{2+}}^0$$ value?

Which of the following arrangements does not represent the correct order of the property stated against it?

Which one of the following molecules is expected to exhibit diamagnetic behaviour?

In which of the following pairs of molecules/ions, both the species are not likely to exist?

Stability of the species Li2, $$L{i}_2^{-}$$ and $$L{i}_2^{+}$$ increases in the order of:

Synthesis of each molecule of glucose in photosynthesis involves:

Let A = \left( {\matrix{ 1 & 0 & 0 \cr 2 & 1 & 0 \cr 3 & 2 & 1 \cr } } \right). If $$u_1$$ and $$u_2$$ are column matrices such that $$A{u}_1=\left(\text{matrix}1\text{cr}0\text{cr}0\text{cr}\right)$$ and $$A{u}_2=\left(\text{matrix}0\text{cr}1\text{cr}0\text{cr}\right),$$ then $$u_1+u_2$$ is equal to :

Let $$P$$ and $$Q$$ be $$3\times 3$$ matrices $$P\ne Q.$$ If $$P^3=Q^3$$ and $$P^{2}Q=Q^{2}P$$ then determinant of $$\left(P^2+Q^2\right)$$ is equal to :

Three numbers are chosen at random without replacement from $$\left\{1,2,3,..8\right\}.$$ The probability that their minimum is $$3,$$ given that their maximum is $$6,$$ is :

The population $$p$$ $$(t)$$ at time $$t$$ of a certain mouse species satisfies the differential equation {{dp\left( t \right)} \over {dt}} = 0.5\,p\left( t \right) - 450.\,\, If $$p(0)=850,$$ then the time at which the population becomes zero is :

If the line $$2x+y=k$$ passes through the point which divides the line segment joining the points $$(1,1)$$ and $$(2,4)$$ in the ratio $$3:2$$, then $$k$$ equals :

If $$n$$ is a positive integer, then $${\left(\sqrt{3}+1\right)}^{2n}-{\left(\sqrt{3}-1\right)}^{2n}$$ is :

If the \int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - 2\cos x} \right| + k,} then $$a$$ is equal to :

If $$g\left(x\right)=\underset{0}{\overset{x}{\int }}\cos 4tdt,$$ then $$g\left(x+\pi \right)$$ equals

If $$z\ne 1$$ and \,{{{z^2}} \over {z - 1}}\, is real, then the point represented by the complex number z lies :

The length of the diameter of the circle which touches the $$x$$-axis at the point $$(1,0)$$ and passes through the point $$(2,3)$$ is :

STATEMENT-1 : An equation of a common tangent to the parabola $$y^2=16\sqrt{3}x$$ and the ellipse $$2x^2+y^2=4$$ is $$y=2x+2\sqrt{3}$$ STATEMENT-2 :If line y = mx + {{4\sqrt 3 } \over m},\left( {m \ne 0} \right) is a common tangent to the parabola $$y^2=16\sqrt{3x}$$and the ellipse $$2x^2+y^2=4$$, then $$m$$ satisfies $$m^4+2m^2=24$$