An octahedral complex having molecular composition Co. \(5 \mathrm{NH}_3. \mathrm{Cl}. \mathrm{SO}_4\) has two isomers A and B. The solution of A gives a white precipitate with \(\mathrm{AgNO}_3\) solution and the solution of B gives white precipitate with \(\mathrm{BaCl}_2\) solution. The type of isomerism exhibited by the complex is which?

The major product formed when \(1, 1, 1-\) trichloro­ propane is treated with aqueous potassium hydroxide is

A metal surface is exposed to \(500\, \mathrm{~nm}\) radiation. The threshold frequency of the metal for photoelectric current is \(4.3 \times 10^{14}\, \mathrm{~Hz}\). The velocity of ejected electron is \(.......\,\times 10^{5} \mathrm{~ms}^{-1}\) (Nearest integer) [Use : \(\left.\mathrm{h}=6.63 \times 10^{-34}\, \mathrm{Js}, \mathrm{m}_{\mathrm{e}}=9.0 \times 10^{-31}\, \mathrm{~kg}\right]\)

The equilibrium constant for the reaction \(Zn ( s )+ Sn ^{2+}( aq ) \rightleftharpoons Zn ^{2+}( aq )+ Sn ( s )\) is \(1 \times 10^{20}\) at \(298 K\). The magnitude of standard electrode potential of \(Sn / Sn ^{2+}\) if \(E _{ Zn ^{2+/ / nn }}^0=-0.76 V\) is \(............\times 10^{-2}\,V\). (Nearest integer) Given : \(\frac{2.303 RT }{ F }=0.059\,V\)

The half-life of radioisotopic bromine \(- 82\) is \(36\) hours. The fraction which remains after one day is _______ \(\times 10^{-2}\). (Given antilog \(0.2006=1.587\) )

The number of molecules and moles in \(2.8375\) litres of \(O _2\) at STP are respectively

Given below are two statements :
Statement I : Noradrenaline is a neurotransmitter.
Statement II : Low level of noradrenaline is not the cause of depression in human.
In the light of the above statements, choose the correct answer from the options given below

Identify the correct statements :
A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination.
B. When a dielectric medium is placed between the charged plates of a capacitor, displacement of charges cannot occur due to insulation property of dielectric.
C. Increasing of area of capacitor plate or decreasing of thickness of dielectric is an alternate method to increase the capacitance.
D. For a point charge, concentric spherical shells centered at the location of the charge are equipotential surfaces.
Choose the correct answer from the options given below.

The metallic bob of simple pendulum has the relative density \(5\). The time period of this pendulum is \(10\,s\). If the metallic bob is immersed in water, then the new time period becomes \(5 \sqrt{ x } s\). The value of \(x\) will be.

Match the List\(-I\) with List\(-II\) 

List \(I\)	List \(II\)
\(A\) Microwaves	\(I\) Radio active decay of the nucleus
\(B\) Gamma rays	\(II\) Rapid acceleration and deceleration of electron in aerials
\(C\) Radio waves	\(III\) Inner shell electrons
\(D\) \(X\)-rays	\(IV\) Klystron valve

Choose the correct answer from the options given below

In a Young's double slit experiment, light of \(500\, nm\) is used to produce an interference pattern. When the distance between the slits is \(0.05\, mm\), the angular width (in degree) of the fringes formed on the distance screen is close to\(........^o\)

If \({\cos ^{ - 1}}\left( {\frac{2}{{3x}}} \right) + {\cos ^{ - 1}}\,\left( {\frac{3}{{4x}}} \right) = \frac{\pi }{2},\,x > \frac{3}{4}\) then \(x\) is equal to

The vehicles carrying inflammable fluids usually have _______ metallic chains touching the ground.