The addition of dilute NaOH to Cr3+ salt solution will give :

Given below are two statements :Statement I : Ethyl pent-4-yn-oate on reaction with CH3MgBr gives a 3$$^\circ$$-alcohol.

The compound/s which will show significant intermolecular H-bonding is/are :

Which one of the following reactions will not yield propionic acid?

The correct order of ionic radii for the ions, P3$$-$$, S2$$-$$, Ca2+, K+, Cl$$-$$ is :

Which one of the following is the major product of the given reaction?

The major product (A) formed in the reaction given below is :

The major product of the following reaction, if it occurs by SN2 mechanism is :

Potassium permanganate on heating at 513 K gives a product which is :

Which one of the following tests used for the identification of functional groups in organic compounds does not use copp

Hydrolysis of sucrose gives :

The correct structures of A and B formed in the following reactions are :

The first order rate constant for the decomposition of CaCO3 at 700 K is 6.36 $$\times$$ 10$$-$$3s$$-$$1 and activation

The number of optical isomers possible for [Cr(C2O4)3]3$$-$$ is ____________.

Two flasks I and II shown below are connected by a valve of negligible volume.When the valve is opened, the final pressu

100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction of carbon dioxide in the resulting mixtu

40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is __________ K. (Neare

The resistance of a conductivity cell with cell constant 1.14 cm$$-$$1, containing 0.001 M KCl at 298 K is 1500 $$\Omega

The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength o

When 5.1 g of solid NH4HS is introduced into a two litre evacuated flask at 27$$^\circ$$C, 20% of the solid decomposes i

The number of species having non-pyramidal shape among the following is ___________.(A) SO3(B) NO$$_3^ - $$(C) PCl3(D) C

Data given for the following reaction is as follows :FeO(s) + C(graphite) $$\to$$ Fe(s) + CO(g) .tg {border-collapse:co

The angle between the straight lines, whose direction cosines are given by the equations 2l + 2m $$-$$ n = 0 and mn + nl

Let $$A = \left( {\matrix{ {[x + 1]} & {[x + 2]} & {[x + 3]} \cr {[x]} & {[x + 3]} & {[x + 3]}

Let M and m respectively be the maximum and minimum values of the function f(x) = tan$$-$$1 (sin x + cos x) in $$\left[

If two tangents drawn from a point P to the parabola y2 = 16(x $$-$$ 3) are at right angles, then the locus of point P i

If the solution curve of the differential equation (2x $$-$$ 10y3)dy + ydx = 0, passes through the points (0, 1) and (2,

Let [$$\lambda$$] be the greatest integer less than or equal to $$\lambda$$. The set of all values of $$\lambda$$ for wh

The set of all values of K > $$-$$1, for which the equation $${(3{x^2} + 4x + 3)^2} - (k + 1)(3{x^2} + 4x + 3)(3{x^2}

A box open from top is made from a rectangular sheet of dimension a $$\times$$ b by cutting squares each of side x from

Let Z be the set of all integers,$$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $$$$B = \{ (x,y) \in Z \times

The area of the region bounded by the parabola (y $$-$$ 2)2 = (x $$-$$ 1), the tangent to it at the point whose ordinate

If $$y(x) = {\cot ^{ - 1}}\left( {{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} } \over {\sqrt {1 + \sin x} - \sqrt {1 - \

The value of the integral $$\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x)(3 + x)}}} $$ is :

If $$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax} \right) = b$$, then the ordered pair (a

The probability distribution of random variable X is given by : .tg {border-collapse:collapse;border-spacing:0;} .tg td

Let z1 and z2 be two complex numbers such that $$\arg ({z_1} - {z_2}) = {\pi \over 4}$$ and z1, z2 satisfy the equation

Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A $$ \subseteq $$ S : A $$\ne$$ $$\phi$$ and

3 $$\times$$ 722 + 2 $$\times$$ 1022 $$-$$ 44 when divided by 18 leaves the remainder __________.

An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a v

If $$\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {14}}(ux + v{{\log }_e}(4{e^x} + 7{e^{ - x

Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$

The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time take

Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular in

Two discs have moments of inertia I1 and I2 about their respective axes perpendicular to the plane and passing through t

Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of

if the rms speed of oxygen molecules at 0$$^\circ$$C is 160 m/s, find the rms speed of hydrogen molecules at 0$$^\circ$$

A constant magnetic field of 1T is applied in the x > 0 region. A metallic circular ring of radius 1m is moving with

A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitationa

For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanomet

A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltag

Match List - I with List - II. List - I List - II (a) $${R_H}$$ (Rydberg constant)

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of densit

A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer shell of inner and outer radii 'b' and 'c

The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fal

A player kicks a football with an initial speed of 25 ms$$-$$1 at an angle of 45$$^\circ$$ from the ground. What are the

The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of lig

Figure shows a rod AB, which is bent in a 120$$^\circ$$ circular arc of radius R. A charge ($$-$$Q) is uniformly distrib

Two simple harmonic motion, are represented by the equations $${y_1} = 10\sin \left( {3\pi t + {\pi \over 3}} \right)$$

X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with pr

A zener diode of power rating 2W is to be used as a voltage regulator. If the zener diode has a breakdown of 10 V and it

Wires W1 and W2 are made of same material having the breaking stress of 1.25 $$\times$$ 109 N/m2. W1 and W2 have cross-s

A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with veloci

An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in ser

The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open a

A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, elec

A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fo