Assuming 2s – 2p mixing is NOT operative, the paramagnetic species among the following is

For the process H2O(l) $$\to$$ H2O(g) at T = 100oC and 1 atmosphere pressure, the correct choice is

Hydrogen peroxide in its reaction with KIO4 and NH2OH respectively, is acting as a

For the elementary reaction M $$\to$$ N, the rate of disappearance of M increases by a factor of 8 upon doubling the con

For the identification of $$\beta$$-naphthol using dye test, it is necessary to use

Isomers of hexane, based on their branching, can be divided into three distinct classes as shown in the figure. The cor

The acidic hydrolysis of ether (X) shown below is fastest when

The major product in the following reaction is

The product formed in the reaction of SOCl2 with white phosphorus is

Under ambient conditions, the total number of gases released as products in the final step of the reaction scheme shown

The value of d in cm (shown in the figure), as estimated from Graham's law, is

The experimental value of d is found to be smaller than the estimate obtained using Graham's law. This is due to

The product X is

The correct statement with respect to product Y is

M1, Q and R, respectively, are

Reagent S is

Match each coordination compound in List I with an appropriate pair of characteristics from List II and select the corre

Match the orbital overlap figures shown in List I with the description given in List II and select the correct answer us

Different possible thermal decomposition pathways for peroxyesters are shown below. Match each pathway from List I with

Match the four starting materials (P, Q, R, S) given in List I with the corresponding reaction schemes (I, II, III, IV)

For $$x \in \left( {0,\pi } \right),$$ the equation $$\sin x + 2\sin 2x - \sin 3x = 3$$ has

Let $${z_k}$$ = $$\cos \left( {{{2k\pi } \over {10}}} \right) + i\,\,\sin \left( {{{2k\pi } \over {10}}} \right);\,k = 1

The quadratic equation $$p(x)$$ $$ = 0$$ with real coefficients has purely imaginary roots. Then the equation $$p(p(x))

Coefficient of $${x^{11}}$$ in the expansion of $${\left( {1 + {x^2}} \right)^4}{\left( {1 + {x^3}} \right)^7}{\left( {1

Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope

The common tangents to the circle $${x^2} + {y^2} = 2$$ and the parabola $${y^2} = 8x$$ touch the circle at the points $

Let $$a, r, s, t$$ be nonzero real numbers. Let $$P\,\,\left( {a{t^2},2at} \right),\,\,Q,\,\,\,R\,\,\left( {a{r^2},2ar}

Let $$a, r, s, t$$ be nonzero real numbers. Let $$P\,\,\left( {a{t^2},2at} \right),\,\,Q,\,\,\,R\,\,\left( {a{r^2},2ar}

Let $$f:\left[ {0,2} \right] \to R$$ be a function which is continuous on $$\left[ {0,2} \right]$$ and is differentiable

In a triangle the sum of two sides is $$x$$ and the product of the same sides is $$y$$. If $${x^2} - {c^2} = y$$, where

The following integral $$\int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\left( {2\cos ec\,\,x} \right)}^{17}}dx} $$ is

List - $$I$$ P.$$\,\,\,\,$$ The number of polynomials $$f(x)$$ with non-negative integer coefficients of degree $$ \le 2

Given that for each $$a \in \left( {0,1} \right),\,\,\,\mathop {\lim }\limits_{h \to {0^ + }} \,\int\limits_h^{1 - h} {{

Given that for each $$a \in \left( {0,1} \right),\,\,\,\mathop {\lim }\limits_{h \to {0^ + }} \,\int\limits_h^{1 - h} {{

The function $$y=f(x)$$ is the solution of the differential equation $${{dy} \over {dx}} + {{xy} \over {{x^2} - 1}} = {{

Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one

Box $$1$$ contains three cards bearing numbers $$1,2,3;$$ box $$2$$ contains five cards bearing numbers $$1,2,3,4,5;$$ a

Box $$1$$ contains three cards bearing numbers $$1,2,3;$$ box $$2$$ contains five cards bearing numbers $$1,2,3,4,5;$$ a

Match List $$I$$ with List $$II$$ and select the correct answer using the code given below the lists: $$\,\,\,\,$$ $$\,\

Let f1 : R $$ \to $$ R, f2 : [0, $$\infty $$) $$ \to $$ R, f3 : R $$ \to $$ R, and f4 : R $$ \to $$ [0, $$\infty $$) be

A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surf

A planet of radius R = $${1 \over {10}} \times $$ (radius of Earth) has the same mass density as Earth. Scientists dig a

A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest

Parallel rays of light of intensity $$I$$ = 912 Wm–2 are incident on a spherical black body kept in surroundings of temp

Charges $$Q,$$ $$2Q$$ and $$4Q$$ are uniformly distributed in three dielectric solid spheres $$1,2$$ and $$3$$ of radii

If $$\lambda$$Cu is the wavelength of K$$\alpha$$ X-ray line of copper (atomic number 29) and $$\lambda$$Mo is the wavel

A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoe

During an experiment with a metre bridge, the galvanometer shall a null point when the jockey is pressed at 40.0 cm usin

A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed ver

A glass capillary tube is of the shape of truncated cone with an apex angle $$\alpha$$ so that its two ends have cross s

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immerse

When d $$\approx$$ a but wires are not touching the loop, it is found that the net magnetic field on the axis of the loo

Consider d >> a, and the loop is rotated about its diameter parallel to the wires by 30$$^\circ$$ from the position show

Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature

Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the

If the piston is pushed at a speed of 5 mm s$$-$$1, the air comes out of the nozzle with a speed of

If the density of air is $$\rho$$a and that of the liquid $$\rho$$l, then for a given piston speed the rate (volume per

Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x = $$-$$2a, $$-$$a, +a and +2a, respecti

Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the re

A block of mass m1 = 1 kg another mass m2 = 2 kg, are placed together (see figure) on an inclined plane with angle of in