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

Based upon VSEPR theory, match the shape (geometry) of the molecules in List-I with the molecules in List-II and select

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

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

Which of the following will have maximum stabilization due to crystal field?

'A' and 'B' respectively are:

The major product of the following reaction is :

Which of the following reactions will yield benzaldehyde as a product?

Given below are two statements : Statement I : In Hofmann degradation reaction, the migration of only an alkyl group tak

L-isomer of a compound 'A' (C4H8O4) gives a positive test with [Ag(NH3)2]+. Treatment of 'A' with acetic anhydride yield

If the uncertainty in velocity and position of a minute particle in space are, 2.4 $$\times$$ 10$$-$$26 (m s$$-$$1) and

2 g of a non-volatile non-electrolyte solute is dissolved in 200 g of two different solvents A and B whose ebullioscop

2NOCl(g) $$\rightleftharpoons$$ 2NO(g) + Cl2(g) In an experiment, 2.0 moles of NOCl was placed in a one-litre flask and

The limiting molar conductivities of NaI, NaNO3 and AgNO3 are 12.7, 12.0 and 13.3 mS m2 mol$$-$$1, respectively (all at

The rate constant for a first order reaction is given by the following equation: $$\ln k = 33.24 - {{2.0 \times {{10}^4}

The number of statements correct from the following for Copper (at. no. 29) is/are ____________. (A) Cu(II) complexes ar

Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product f

Two elements A and B which form 0.15 moles of A2B and AB3 type compounds. If both A2B and AB3 weigh equally, then the at

Total number of possible stereoisomers of dimethyl cyclopentane is ____________.

The area of the polygon, whose vertices are the non-real roots of the equation $$\overline z = i{z^2}$$ is :

Let the system of linear equations $$x + 2y + z = 2$$, $$\alpha x + 3y - z = \alpha $$, $$ - \alpha x + y + 2z = - \alp

$$x = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}}

Let a be an integer such that $$\mathop {\lim }\limits_{x \to 7} {{18 - [1 - x]} \over {[x - 3a]}}$$ exists, where [t] i

The number of distinct real roots of x4 $$-$$ 4x + 1 = 0 is :

If $${\cos ^{ - 1}}\left( {{y \over 2}} \right) = {\log _e}{\left( {{x \over 5}} \right)^5},\,|y|

If $$\int {{{({x^2} + 1){e^x}} \over {{{(x + 1)}^2}}}dx = f(x){e^x} + C} $$, where C is a constant, then $${{{d^3}f} \ov

The value of the integral $$\int\limits_{ - 2}^2 {{{|{x^3} + x|} \over {({e^{x|x|}} + 1)}}dx} $$ is equal to :

If $${{dy} \over {dx}} + {{{2^{x - y}}({2^y} - 1)} \over {{2^x} - 1}} = 0$$, x, y > 0, y(1) = 1, then y(2) is equal to :

In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x + y = 4. Let the point B lie

Let the eccentricity of an ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$, $$a > b$$, be $${1 \over 4

If two straight lines whose direction cosines are given by the relations $$l + m - n = 0$$, $$3{l^2} + {m^2} + cnl = 0$$

Let $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$ and $$\overrightarrow c = 2\widehat i - 3\widehat j +

Five numbers $${x_1},{x_2},{x_3},{x_4},{x_5}$$ are randomly selected from the numbers 1, 2, 3, ......., 18 and are arran

The value of $$\cos \left( {{{2\pi } \over 7}} \right) + \cos \left( {{{4\pi } \over 7}} \right) + \cos \left( {{{6\pi }

$${\sin ^1}\left( {\sin {{2\pi } \over 3}} \right) + {\cos ^{ - 1}}\left( {\cos {{7\pi } \over 6}} \right) + {\tan ^{ -

Let f : R $$\to$$ R be a function defined by $$f(x) = {{2{e^{2x}}} \over {{e^{2x}} + e}}$$. Then $$f\left( {{1 \over {10

If the sum of all the roots of the equation $${e^{2x}} - 11{e^x} - 45{e^{ - x}} + {{81} \over 2} = 0$$ is $${\log _e}p$$

The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between an

If the coefficient of x10 in the binomial expansion of $${\left( {{{\sqrt x } \over {{5^{{1 \over 4}}}}} + {{\sqrt 5 } \

Let $${A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}$$ and $${A_2} = \left\{ {(x,y):|x| + |y| \le k} \rig

A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a di

A projectile is launched at an angle '$$\alpha$$' with the horizontal with a velocity 20 ms$$-$$1. After 10 s, its incli

A girl standing on road holds her umbrella at 45$$^\circ$$ with the vertical to keep the rain away. If she starts runnin

A silver wire has a mass (0.6 $$\pm$$ 0.006) g, radius (0.5 $$\pm$$ 0.005) mm and length (4 $$\pm$$ 0.04) cm. The maximu

A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a smooth table as shown in figure. The coefficient o

Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0) cm and (x, 0) cm respe

A 72 $$\Omega$$ galvanometer is shunted by a resistance of 8 $$\Omega$$. The percentage of the total current which passe

Given below are two statements : Statement I : The law of gravitation holds good for any pair of bodies in the universe.

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stati

The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes const

The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is : [Permeability of f

The current flowing through an ac circuit is given by I = 5 sin(120$$\pi$$t)A How long will the current take to reach th

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

An $$\alpha$$ particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths $$({\la

A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor i

The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its a

Consider a light ray travelling in air is incident into a medium of refractive index $$\sqrt{2n}$$. The incident angle i

A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom wil

Identify the correct Logic Gate for the following output (Y) of two inputs A and B.

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of

A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure)

In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen

A beam of monochromatic light is used to excite the electron in Li+ + from the first orbit to the third orbit. The wavel

The current density in a cylindrical wire of radius 4 mm is 4 $$\times$$ 106 Am$$-$$2. The current through the outer por

A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacit

The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-sectio

A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bo