The correct order of acid strength of the following carboxylic acids is

The green colour produced in the borax bead test of a chromium (III) salt is due to

Calamine, malachite, magnetic and cryolite, respectively, are

Molar conductivity ($$\Lambda $$m) of aqueous solution of sodium stearate, which behaves as a strong electrolyte, is rec

Choose the reaction(s) from the following options, for which the standard enthalpy of reaction of equal to the standard

A tin chloride Q undergoes the following reactions (not balanced)$$Q + C{l^ - } \to X$$$$Q + M{e_3}N \to Y$$$$Q + CuC{l_

In the decay sequence. x1, x2, x3 and x4 are particles/radiation emitted by the respective isotopes. The correct option

Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms) and average translationa

Choose the correct option(s) for the following set of reactions.

Which of the following statement(s) is(are) true?

Fusion of MnO2 with KOH in presence of O2 produces a salt W. Alkaline solution of W upon electrolytic oxidation yields a

Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules posses p

Among B2H6, B3N3H6, N2O, N2O4, H2S2O3 and H2S2O8, the total number of molecules containing covalent bond between two ato

On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 mmHg to

Consider the kinetic data given in the following table for the reaction A + B + C $$ \to $$ Product. The rate of the rea

For the following reaction, the equilibrium constant Kc at 298 K is 1.6 $$ \times $$ 1017.Fe2+(aq) + S2-(aq) ⇌ FeS(s)Whe

At 143 K, the reaction of XeF4 with O2F2 produces a xenon compound Y. The total number of lone pair(s) of electrons pres

Schemes 1 and 2 describe the conversion of P to Q and R to S, respectively. Scheme 3 describes the synthesis of T from Q

Let S be the set of all complex numbers z satisfying $$\left| {z - 2 + i} \right| \ge \sqrt 5 $$. If the complex number

Let $$M = \left[ {\matrix{ {{{\sin }^4}\theta } \cr {1 + {{\cos }^2}\theta } \cr } \matrix{ { - 1 - {{\si

A line y = mx + 1 intersects the circle $${(x - 3)^2} + {(y + 2)^2}$$ = 25 at the points P and Q. If the midpoint of the

The area of the region{(x, y) : xy $$ \le $$ 8, 1 $$ \le $$ y $$ \le $$ x2} is

Let $$\Gamma $$ denote a curve y = y(x) which is in the first quadrant and let the point (1, 0) lie on it. Let the tange

Define the collections {E1, E2, E3, ...} of ellipses and {R1, R2, R3.....} of rectangles as follows :$${E_1}:{{{x^2}} \o

In a non-right-angled triangle $$\Delta $$PQR, let p, q, r denote the lengths of the sides opposite to the angles At P,

Let $$\alpha $$ and $$\beta $$ be the roots of$${x^2} - x - 1 = 0$$, with $$\alpha $$ > $$\beta $$. For all positive

Let L1 and L2 denote the lines$$r = \widehat i + \lambda ( - \widehat i + 2\widehat j + 2\widehat k)$$, $$\lambda $$$$ \

There are three bags B1, B2 and B3. The bag B1 contains 5 red and 5 green balls, B2 contains 3 red and 5 green balls, an

Let $$M = \left[ {\matrix{ 0 & 1 & a \cr 1 & 2 & 3 \cr 3 & b & 1 \cr } } \right

Let f : R $$ \to $$ R be given by$$f(x) = \left\{ {\matrix{ {{x^5} + 5{x^4} + 10{x^3} + 10{x^2} + 3x + 1,} & {x &

Let S be the sample space of all 3 $$ \times $$ 3 matrices with entries from the set {0, 1}. Let the events E1 and E2 be

Let the point B be the reflection of the point A(2, 3) with respect to the line $$8x - 6y - 23 = 0$$. Let $$\Gamma_{A} $

Let $$\omega \ne 1$$ be a cube root of unity. Then the minimum of the set $$\{ {\left| {a + b\omega + c{\omega ^2}} \r

If $$I = {2 \over \pi }\int\limits_{ - \pi /4}^{\pi /4} {{{dx} \over {(1 + {e^{\sin x}})(2 - \cos 2x)}}} $$, then 27I2 e

Three lines are given by $$r = \lambda \widehat i,\,\lambda \in R$$, $$r = \mu (\widehat i + \widehat j),\,\mu \in R$$

Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common differen

In a radioactive sample, $${}_{19}^{40}K$$ nuclei either decay into stable $${}_{20}^{40}Ca$$ nuclei with decay constant

A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed

A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surf

Consider a spherical gaseous cloud of mass density $$\rho $$(r) in free space where r is the radial distance from its ce

A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having

A conducting wire of parabolic shape, initially y = x2, is moving with velocity $$v = {v_0}\widehat i$$ in a non-uniform

A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the figure. The radius of cur

One mole of a monatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature (V-T) di

In the circuit shown, initially there is no charge on the capacitors and keys S1 and S2 are open. The values of the capa

A charged shell of radius R carries a total charge Q. Given $$\phi $$ as the flux of electric field through a closed cyl

Two identical moving coil galvanometers have 10$$\Omega $$ resistance and full scale deflection at 2$$\mu $$A current. O

Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, wh

A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plate

A planar structure of length L and width W is made of two different optical media of refractive indices n1 = 1.5 and n2

A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm2 and length $$\sqrt 3

A liquid at 30$$^\circ $$C is poured very slowly into a Calorimeter that is at temperature of 110$$^\circ $$C. The boili

A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force $$F = (\alpha y\widehat i

A train S1, moving with a uniform velocity of 108 km/h, approaches another train S2 standing on a platform. An observer