The difference in the oxidation numbers of the two types of sulphur atoms in Na2S4O6 is

The maximum number of electrons that can have principal quantum number, n = 3, and spin quantum number, ms = − 1/2 , is

The work function ( φ ) of some metals is listed below. The number of metals which will show photoelectric effect when l

Geometrical shapes of the complexes formed by the reaction of Ni2+ with Cl-, CN- and H2O respectively are

According to kinetic theory of gases

To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mol of He and 1.0 mol of an unknown com

Among the following compound, the most acidic is

The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)

Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solu

Extraction of metal from the ore cassiterite involves

The metal rod M is

The compound N is

The final solution contains :

Reaction of Br2 with Na2CO3 in aqueous solution gives sodium bromide and sodium bromate with evolution of CO2 gas. The n

The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic KOH is.

The positive integer value of $$n\, > \,3$$ satisfying the equation $${1 \over {\sin \left( {{\pi \over n}} \right)}

If z is any complex number satisfying $$\,\left| {z - 3 - 2i} \right| \le 2$$, then the minimum value of $$\left| {2z -

The minimum value of the sum of real numbers $${a^{ - 5}},\,{a^{ - 4}},\,3{a^{ - 3}},\,1,\,{a^8}$$ and $${a^{10}}$$ wher

Let $$\alpha $$ and $$\beta $$ be the roots of $${x^2} - 6x - 2 = 0,$$ with $$\alpha > \beta .$$ If $${a_n} = {\al

Let $$\left( {{x_0},{y_0}} \right)$$ be the solution of the following equations $$\matrix{ {{{\left( {2x} \right)}^

Let $${{a_1}}$$, $${{a_2}}$$, $${{a_3}}$$........ $${{a_{100}}}$$ be an arithmetic progression with $${{a_1}}$$ = 3 and

A straight line $$L$$ through the point $$(3, -2)$$ is inclined at an angle $${60^ \circ }$$ to the line $$\sqrt {3x} +

Let the eccentricity of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ be reciprocal to that of

Consider the parabola $${y^2} = 8x$$. Let $${\Delta _1}$$ be the area of the triangle formed by the end points of its la

Let $$f\left( \theta \right) = \sin \left( {{{\tan }^{ - 1}}\left( {{{\sin \theta } \over {\sqrt {\cos 2\theta } }}} \r

The value of $$\,\int\limits_{\sqrt {\ell n2} }^{\sqrt {\ell n3} } {{{x\sin {x^2}} \over {\sin {x^2} + \sin \left( {\ell

Let the straight line $$x=b$$ divide the area enclosed by $$y = {\left( {1 - x} \right)^2},y = 0,$$ and $$x=0$$ into tw

The probability of the drawn ball from $${U_2}$$ being white is

Given that the drawn ball from $${U_2}$$ is white, the probability that head appeared on the coin is

Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\,\overrightarrow b = \widehat i - \widehat j + \wideha

The vector (s) which is/are coplanar with vectors $${\widehat i + \widehat j + 2\widehat k}$$ and $${\widehat i + 2\wide

Let $$P = \{ \theta :\sin \theta - \cos \theta = \sqrt 2 \cos \theta \} $$ and $$Q = \{ \theta :\sin \theta + \cos \t

Let f : R $$\to$$ R be a function such that $$f(x + y) = f(x) + f(y),\,\forall x,y \in R$$. If f(x) is differentiable at

Let M and N be two 3 $$\times$$ 3 non-singular skew symmetric matrices such that MN = NM. If PT denotes the transpose of

If the point P(a, b, c), with reference to (E), lies on the plane 2x + y + z = 1, then the value of 7a + b + c is

Let $$\omega$$ be a solution of $${x^3} - 1 = 0$$ with $${\mathop{\rm Im}\nolimits} (\omega ) > 0$$. If a = 2 with b and

Let b = 6, with a and c satisfying (E). If $$\alpha$$ and $$\beta$$ are the roots of the quadratic equation ax2 + bx + c

Let $$f:[1,\infty ) \to [2,\infty )$$ be a differentiable function such that $$f(1) = 2$$. If $$6\int\limits_1^x {f(t)dt

A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fi

A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fi

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizonta

A block is moving on an inclined plane making an angle $$45^\circ $$ with the horizontal and the coefficient of friction

Four solid spheres each of diameter $$\sqrt 5 $$ cm and mass 0.5 kg are placed with their centers at the corners of a sq

5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T1, the wo

Steel wire of lenght ‘L’ at 40oC is suspended from the ceiling and then a mass ‘m’ is hung from its free end. The wire i

A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which refl

Consider an electric field $$\overrightarrow E = {E_0}\widehat x$$ where $${E_0}$$ is a constant. The flux through the

A $$2$$ $$\mu F$$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the

A spherical metal shell A of radius $${R_A}$$ and a solid metal sphere $$B$$ of radius $${R_B}\left( { < {R_A}} \righ

The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 $$\mathop A\limits^o $$. The wav

A meter bridge is set up as shown, to determine an unknown resistance X using a standard 10 $$\Omega$$ resistor. The gal

A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at it

A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K)

An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of

The phase space diagram for a ball thrown vertically up from ground is

The phase space diagram for simple harmonic motion is a circle centred at the origin. In the figure, the two circles rep

Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for o

A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of

Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side a. The surfac

The activity of a freshly prepared radioactive sample is 1010 disintegrations per second, whose mean life is 109 s. The

A long circular tube of length 10 m and radius 0.3 m carries a current I along its curved surface as shown. A wire-loop