The primary and secondary valencies of cobalt respectively in $$\mathrm{[Co(NH_3)_5Cl]Cl_2}$$ are :

'A' and 'B' formed in the following set of reactions are :

Decreasing order of the hydrogen bonding in following forms of water is correctly represented by A. Liquid water B. Ice

Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis

An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is :

In the following given reaction, 'A' is

'R' formed in the following sequence of reactions is :

The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is

Compound (X) undergoes following sequence of reactions to give the Lactone (Y).

In the depression of freezing point experiment A. Vapour pressure of the solution is less than that of pure solvent B. V

Order of Covalent bond; $$\mathrm{A.~KF > KI ; LiF > KF}$$ $$\mathrm{B.~KF KF}$$ $$\mathrm{C.~SnCl_4 > SnCl_2 ; CuCl >

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. $${v^

Increasing order of stability of the resonance structures is : Choose the correct answer from the options given below :

For independent process at 300 K .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-sty

When $$\mathrm{Fe_{0.93}O}$$ is heated in presence of oxygen, it converts to $$\mathrm{Fe_2O_3}$$. The number of correct

5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution wo

Uracil is a base present in RNA with the following structure. % of N in uracil is ___________ Given: Molar mass N = 14

Number of moles of AgCl formed in the following reaction is _____________

The number of correct statement/s from the following is __________ A. Larger the activation energy, smaller is the value

The dissociation constant of acetic acid is $$x\times10^{-5}$$. When 25 mL of 0.2 $$\mathrm{M~CH_3COONa}$$ solution is m

At 298 K, a 1 litre solution containing 10 mmol of $$\mathrm{C{r_2}O_7^{2 - }}$$ and 100 mmol of $$\mathrm{Cr^{3+}}$$ sh

The d-electronic configuration of $$\mathrm{[CoCl_4]^{2-}}$$ in tetrahedral crystal field in $${e^mt_2^n}$$. Sum of "m"

If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line

Let $$\mathrm{p,q\in\mathbb{R}}$$ and $${\left( {1 - \sqrt 3 i} \right)^{200}} = {2^{199}}(p + iq),i = \sqrt { - 1} $$ t

Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations $$x + y

The relation $$\mathrm{R = \{ (a,b):\gcd (a,b) = 1,2a \ne b,a,b \in \mathbb{Z}\}}$$ is :

$$\mathop {\lim }\limits_{t \to 0} {\left( {{1^{{1 \over {{{\sin }^2}t}}}} + {2^{{1 \over {{{\sin }^2}t}}}}\, + \,...\,

$${\tan ^{ - 1}}\left( {{{1 + \sqrt 3 } \over {3 + \sqrt 3 }}} \right) + {\sec ^{ - 1}}\left( {\sqrt {{{8 + 4\sqrt 3 } \

Let $$y = y(x)$$ be the solution of the differential equation $${x^3}dy + (xy - 1)dx = 0,x > 0,y\left( {{1 \over 2}} \ri

Let $$\Omega$$ be the sample space and $$\mathrm{A \subseteq \Omega}$$ be an event. Given below are two statements : (S1

The area enclosed by the curves $${y^2} + 4x = 4$$ and $$y - 2x = 2$$ is :

The equation $${x^2} - 4x + [x] + 3 = x[x]$$, where $$[x]$$ denotes the greatest integer function, has :

If A and B are two non-zero n $$\times$$ n matrices such that $$\mathrm{A^2+B=A^2B}$$, then :

For three positive integers p, q, r, $${x^{p{q^2}}} = {y^{qr}} = {z^{{p^2}r}}$$ and r = pq + 1 such that 3, 3 log$$_yx$$

Let PQR be a triangle. The points A, B and C are on the sides QR, RP and PQ respectively such that $${{QA} \over {AR}} =

Let $$f(x) = \left\{ {\matrix{ {{x^2}\sin \left( {{1 \over x}} \right)} & {,\,x \ne 0} \cr 0 & {,\,x = 0} \cr

Let $$\lambda \in \mathbb{R}$$ and let the equation E be $$|x{|^2} - 2|x| + |\lambda - 3| = 0$$. Then the largest eleme

The shortest distance between the lines $${{x - 2} \over 3} = {{y + 1} \over 2} = {{z - 6} \over 2}$$ and $${{x - 6} \ov

The 4$$^\mathrm{th}$$ term of GP is 500 and its common ratio is $$\frac{1}{m},m\in\mathbb{N}$$. Let $$\mathrm{S_n}$$ den

Let C be the largest circle centred at (2, 0) and inscribed in the ellipse $${{{x^2}} \over {36}} + {{{y^2}} \over {16}}

A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can cho

The value of $$12\int\limits_0^3 {\left| {{x^2} - 3x + 2} \right|dx} $$ is ____________

The value of $${8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos

The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits o

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Phot

As per given figure, a weightless pulley P is attached on a double inclined frictionless surfaces. The tension in the st

Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is $$

A 100 m long wire having cross-sectional area $$\mathrm{6.25\times10^{-4}~m^2}$$ and Young's modulus is $$\mathrm{10^{10

The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's

From the photoelectric effect experiment, following observations are made. Identify which of these are correct. A. The s

Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magni

A circular loop of radius $$r$$ is carrying current I A. The ratio of magnetic field at the center of circular loop and

If two charges q$$_1$$ and q$$_2$$ are separated with distance 'd' and placed in a medium of dielectric constant K. What

A conducting circular loop of radius $$\frac{10}{\sqrt\pi}$$ cm is placed perpendicular to a uniform magnetic field of 0

1 g of a liquid is converted to vapour at 3 $$\times$$ 10$$^5$$ Pa pressure. If 10% of the heat supplied is used for inc

As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 $$\Omeg

A travelling wave is described by the equation $$y(x,t) = [0.05\sin (8x - 4t)]$$ m The velocity of the wave is : [all th

The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can

Given below are two statements : Statement I : The temperature of a gas is $$-73^\circ$$C. When the gas is heated to $$5

Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:soli

Given below are two statements : Statement I : An elevator can go up or down with uniform speed when its weight is balan

In $$\overrightarrow E $$ and $$\overrightarrow K $$ represent electric field and propagation vectors of the EM waves in

A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively.

A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a

Vectors $$a\widehat i + b\widehat j + \widehat k$$ and $$2\widehat i - 3\widehat j + 4\widehat k$$ are perpendicular to

A hole is drilled in a metal sheet. At $$\mathrm{27^\circ C}$$, the diameter of hole is 5 cm. When the sheet is heated

Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ wi

As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an obje

A stream of a positively charged particles having $${q \over m} = 2 \times {10^{11}}{C \over {kg}}$$ and velocity $${\ov

A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of $$\mathrm{5^{th}}$$