Based on VSEPR theory, the number of 90 degree F-Br-F angles in BrF5 is

The species which by definition has ZERO standard molar enthalpy of formation at 298 K is

Among the following, the intensive property is (properties are)

Aqueous solution of HNO3, KOH and CH3COOH and CH3COONa of identical concentrations are provided. The pairs of solutions

Amongst the following the total number of compounds whose aqueous solution turns red litmus paper blue is KCN, K2SO4, (N

The reagent(s) used for softening the temporary hardness of water is (are)

The total number of cyclic isomers possible for a hydrocarbon with the molecular formula C4H6 is

The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and and alkyne

The bond energy (in kcal mol-1) of a C-C single bond is approximately

The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resul

The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resul

The concentration of R in the reaction R $$\to$$ P was measured as a function of time and the following data is obtained

The number of neutrons emitted when $${}_{92}^{235}U$$ undergoes controlled nuclear fission to $${}_{54}^{142}Xe$$ and $

A student performs a titration with different burettes and finds titre values of 25.2 mL, 25.25 mL, and 25.0 mL. The num

The correct statement about the following disaccharide is :

In the reaction the products are :

Plots showing the variation of the rate constant ($$k$$) with temperature ($$T$$) are given below. The point that follow

The correct structure of ethylenediaminetetraacetic acid (EDTA) is

The ionisation isomer of $$\mathrm{[Cr(H_2O)_4Cl(NO_2)]Cl}$$ is

In the Newman projection for 2,2-dimethylbutane, X and Y can, respectively, be

In the reaction The intermediate(s) is(are)

Partial roasting of chalcopyrite produces

Iron is removed from chalcopyrite as

In self-reduction, the reducing species is

The total number of basic groups in the following form of lysine is

In the scheme given below, the total number of intra molecular aldol condensation products formed from Y is ____________

Amongst the following, the total number of compounds soluble in aqueous NaOH is _________.

The value of $$n$$ in the molecular formula $$\mathrm{Be_n Al_2Si_6O_{18}}$$ is ___________.

The number of values of $$\theta $$ in the interval, $$\left( { - {\pi \over 2},\,{\pi \over 2}} \right)$$ such that

The number of all possible values of $$\theta $$ where $$0 < \theta < \pi ,$$ for which the system of equations $

The maximum value of the expression $${1 \over {{{\sin }^2}\theta + 3\sin \theta \cos \theta + 5{{\cos }^2}\theta }}$$

Let $${{z_1}}$$ and $${{z_2}}$$ be two distinct complex number and let z =( 1 - t)$${{z_1}}$$ + t$${{z_2}}$$ for some re

Let $$p$$ and $$q$$ be real numbers such that $$p \ne 0,\,{p^3} \ne q$$ and $${p^3} \ne - q.$$ If $${p^3} \ne - q.$$

Let $${S_k}$$= 1, 2,....., 100, denote the sum of the infinite geometric series whose first term is $$\,{{k - 1} \over {

Let $$A$$ and $$B$$ be two distinct points on the parabola $${y^2} = 4x$$. If the axis of the parabola touches a circle

The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ intersect at the point

The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ intersect at the point

The line $$2x + y = 1$$ is tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If this l

If the angles $$A, B$$ and $$C$$ of a triangle are in an arithmetic progression and if $$a, b$$ and $$c$$ denote the len

Let $$f$$ be a real-valued differentiable function on $$R$$ (the set of all real numbers) such that $$f(1)=1$$. If the $

If the distance between the plane $$Ax-2y+z=d$$ and the plane containing the lines $${{x - 1} \over 2} = {{y - 2} \over

If $$\overrightarrow a $$ and $$\overrightarrow b $$ are vectors in space given by $$\overrightarrow a = {{\widehat i -

Equation of the plane containing the straight line $${x \over 2} = {y \over 3} = {z \over 4}$$ and perpendicular to the

Let $$P,Q,R$$ and $$S$$ be the points on the plane with position vectors $${ - 2\widehat i - \widehat j,4\widehat i,3\wi

Let $$\omega $$ be a complex cube root of unity with $$\omega \ne 1.$$ A fair die is thrown three times. If $${r_1},$$

For any real number $$x,$$ let $$\left[ x \right]$$ denote the largest integer less than or equal to $$x.$$ Let $$f$$ be

Let $$f$$ be a real-valued function defined on the interval $$\left( {0,\infty } \right)$$ by $$\,f\left( x \right) = \

The value of $$\int\limits_0^1 {{{{x^4}{{\left( {1 - x} \right)}^4}} \over {1 + {x^2}}}dx} $$ is (are)

The value of $$\mathop {\lim }\limits_{x \to 0} {1 \over {{x^3}}}\int\limits_0^x {{{t\ln \left( {1 + t} \right)} \over {

Let $$ABC$$ be a triangle such that $$\angle ACB = {\pi \over 6}$$ and let $$a, b$$ and $$c$$ denote the lengths of the

A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its crosssectional area is

A block of mass m is on an inclined plane of angle θ. The coefficient of friction between the block and the plane is μ a

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass rev

A binary star consists of two stars A (mass 2.2Ms) and B (mass 11Ms), where Ms is the mass of the sun. They are separate

Gravitational acceleration on the surface of a planet is $${{\sqrt 6 } \over {11}}g$$, where $$g$$ is the gravitational

A real gas behaves like an ideal gas if its

Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T1 and T2, respectively. The maximum inte

A piece of ice (heat capacity = 2100 J kg-1 oC-1 and latent heat = 3.36 $$ \times $$ 105 J kg-1 ) of mass m grams is at

A few electric field lines for a system of two charges $${Q_1}$$ and $${Q_2}$$ fixed at two different points on the $$x$

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop wa

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in

To verify Ohm's law, a student is provided with a test resitor RT, a high resistance R1, a small resistance R2, two iden

An AC voltage source of variable angular frequency $$\omega$$ and fixed amplitude V0 is connected in series with a capac

A thin flexible wire of length L is connected to two adjacent fixed points and carries a current I in the clockwise dire

A thin uniform annular disc (see figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a

Consider a thin square sheet of side L and thickness, made of a material of resistivity $$\rho$$. The resistance between

One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A i

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60$$^\cir

In the graph below, the resistance R of a superconductor is shown as a friction of its temperature T for two different m

A superconductor has Tc(0) = 100 K. When a magnetic field of 7.5 T is applied, its Tc decreases to 75 K. For this materi

If the total energy of the particle is E, it will perform periodic motion only if

For periodic motion of small amplitude A, the time period T of this particle is proportional to

The acceleration of this particle for $$|x| > {X_0}$$ is

A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching the source. Th

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50

An $$\alpha$$-particle and a proton are accelerated from the rest by a potential difference of 100 V. After this, their

When two identical batteries of internal resistance 1 $$\Omega$$ each are connected in series across a resistor R, the r

When two progressive waves $${y_1} = 4\sin (2x - 6t)$$ and $${y_2} = 3\sin \left( {2x - 6t - {\pi \over 2}} \right)$$ a