Increasing order of reactivity of the following compounds for SN1 substitution is:

During compression of a spring the work done is 10kJ and 2kJ escaped to the surroundings as heat. The change in internal

The major products A and B for the following reactions are, respectively:

Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ? (The Bohr radius

The maximum possible denticities of a ligand given below towards a common transition and inner-transition metal ion, res

The correct statements among I to III regarding group 13 element oxides are, (I) Boron trioxide is acidic. (II) Oxides o

Among the following species, the diamagnetic molecule is

The peptide that gives positive ceric ammonium nitrate and carbylamine tests is :

A solution of Ni(NO3)2 is electrolysed between platinum electrodes using 0.1 Faraday electricity. How many mole of Ni wi

Consider the given plot of enthalpy of the following reaction between A and B. A+ B $$ \to $$ C + D Identify the incorre

In the following reaction Rate of the reaction is the highest for :

Which of the following potential energy (PE) diagrams represents the SN1 reaction?

The major product of the following reaction is:

The maximum number of possible oxidation states of actinoides are shown by :

Molal depression constant for a solvent is 4.0 kg mol–1. The depression in the freezing point of the solvent for 0.03 mo

Hinsberg's reagent is :

What would be the molality of 20% (mass/ mass) aqueous solution of KI? (molar mass of KI = 166 g mol–1)

The correct statements among I to III are : (I) Valence bond theory cannot explain the color exhibited by transition met

p-Hydroxybenzophenone upon reaction with bromine in carbon tetrachloride gives:

In an acid-base titration, 0.1 M HCl solution was added to the NaOH solution of unknown strength. Which of the following

HF has highest boiling point among hydrogen halides, because it has :

If $$\cos x{{dy} \over {dx}} - y\sin x = 6x$$, (0 < x < $${\pi \over 2}$$) and $$y\left( {{\pi \over 3}} \right)

The value of sin 10º sin30º sin50º sin70º is :-

If the system of equations 2x + 3y – z = 0, x + ky – 2z = 0 and 2x – y + z = 0 has a non-trival solution (x, y, z), then

The value of the integral $$\int\limits_0^1 {x{{\cot }^{ - 1}}(1 - {x^2} + {x^4})dx} $$ is :-

Let z $$ \in $$ C be such that |z| < 1. If $$\omega = {{5 + 3z} \over {5(1 - z)}}$$z, then :

If the sum and product of the first three term in an A.P. are 33 and 1155, respectively, then a value of its 11th term i

If f : R $$ \to $$ R is a differentiable function and f(2) = 6, then $$\mathop {\lim }\limits_{x \to 2} {{\int\limits_6^

If the two lines x + (a – 1) y = 1 and 2x + a2y = 1 (a$$ \in $$R – {0, 1}) are perpendicular, then the distance of their

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is $${\tan ^{ - 1}}\left( {{1 \

The vertices B and C of a $$\Delta $$ABC lie on the line, $${{x + 2} \over 3} = {{y - 1} \over 0} = {z \over 4}$$ such

The total number of matrices $$A = \left( {\matrix{ 0 & {2y} & 1 \cr {2x} & y & { - 1} \cr

If $$f(x) = [x] - \left[ {{x \over 4}} \right]$$ ,x $$ \in $$ 4 , where [x] denotes the greatest integer function, then

If the function $$f(x) = \left\{ {\matrix{ {a|\pi - x| + 1,x \le 5} \cr {b|x - \pi | + 3,x > 5} \cr } }

$$\int {{e^{\sec x}}}$$ $$(\sec x\tan xf(x) + \sec x\tan x + se{x^2}x)dx$$ = esecxf(x) + C then a possible choice of f(x

If m is chosen in the quadratic equation (m2 + 1) x2 – 3x + (m2 + 1)2 = 0 such that the sum of its roots is greatest,

Two newspapers A and B are published in a city. It is known that 25% of the city populations reads A and 20% reads B whi

The domain of the definition of the function $$f(x) = {1 \over {4 - {x^2}}} + {\log _{10}}({x^3} - x)$$ is

The area (in sq. units) of the region A = {(x, y) : $${{y{}^2} \over 2}$$ $$ \le $$ x $$ \le $$ y + 4} is :-

The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and

If a unit vector $$\overrightarrow a $$ makes angles $$\pi $$/3 with $$\widehat i$$ , $$\pi $$/ 4 with $$\widehat j$$ an

A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of th

Two coils 'P' and 'Q' are separated by some distance. When a current of 3 A flows through coil 'P', a magnetic flux of 1

A metal wire of resistance 3 $$\Omega $$ is elongated to make a uniform wire of double its previous length. This new wi

The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resis

A thin convex lens L (refractive index = 1.5) is placed on a plane mirror M. When a pin is placed at A, such that OA = 1

A moving coil galvanometer has a coil with 175 turns and area 1 cm2. It uses a torsion band of torsion constant 10–6 N-m

The position of a particle as a function of time t, is given byx(t) = at + bt2 – ct3 where a, b and c are constants. Whe

A very long solenoid of radius R is carrying current I(t) = kte–at(k > 0), as a function of time (t $$ \ge $$ 0). cou

A massless spring (k = 800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is str

Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600nm. coming from a distant object, th

A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances

A particle 'P' is formed due to a completely inelastic collision of particles 'x' and 'y' having de-Broglie wavelengths

Moment of inertia of a body about a given axis is 1.5 kg m2. Initially the body is at rest. In order to produce a rotati

The logic gate equivalent to the given logic circuit is :-

The area of a square is 5.29 cm2. The area of 7 such squares taking into account the significant figures is :-

50 W/m2 energy density of sunlight is normally incident on the surface of a solar panel. Some part of incident energy (2

Four point charges –q, +q, +q and –q are placed on y-axis at y = –2d, y = –d, y = +d and y = +2d, respectively. The magn

The specific heats, CP and CV of a gas of diatomic molecules, A, are given (in units of J mol–1 K–1) by 29 and 22, resp

The position vector of a particle changes with time according to the relation $$\overrightarrow r (t) = 15{t^2}\widehat

A test particle is moving in a circular orbit in the gravitational field produced by a mass density $$\rho (r) = {K \ove

A wooden block floating in a bucket of water has 4/5 of its volume submerged. When certain amount of an oil is poured in

A particle of mass 'm' is moving with speed '2v' and collides with a mass '2m' moving with speed 'v' in the same directi

A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v. There is no

A He+ ion is in its first excited state. Its ionization energy is :-

Two materials having coefficients of thermal conductivity '3K' and 'K' and thickness 'd' and '3d', respectively, are joi

A thin smooth rod of length L and mass M is rotating freely with angular speed $$\omega $$0 about an axis perpendicular

The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery o

In a conductor, if the number of conduction electrons per unit volume is 8.5 × 1028 m–3 and mean free time is 25ƒs (femt

A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode