The bond between two identical non-metal atoms has a pair of electrons

A molal solution is one that contains one mole of solute in

Complete and balance the following equation: Mn2+ + PbO2 $$\to$$ $$MnO_4^-$$ + H2O

Complete and balance the following equation: $$ClO_3^-$$ + I- + H2SO4 $$\to$$ Cl- + $$HSO_4^-$$

Complete and balance the following equation: S + OH- $$\to$$ S2- + $$S_2O_3^-$$

Complete and balance the following equation: Ag+ + AsH3 $$\to$$ H3AsO3 + H+

Arrange the following in increasing oxidation number of iodine. I2, HI, HIO4, ICl

The electron density in the XY plane in 3dx2 - y2 orbital is zero

Rutherford's alpha particle scattering experiment eventually led to the conclusion that:

The ratio of the energy of a photon of 2000Å wavelength to that 4000Å radiation is

Which one of the following sets of quantum numbers represents an impossible arrangement?

The sum of the number of neutrons and proton in the isotope of hydrogen is

Arrange the following in: Increasing size: Cl-, S2-, Ca2+, Ar

The hydrogen bond is strongest in

The hybridisation of sulphur in sulphur dioxide is

CO2 is isostructural with

Write the lewis dot structure of the following: O3, COCl2

The rate of diffusion of gas is _______ proportional to both ________ and square root of molecular mass.

The average velocity of an ideal gas molecule at 27oC is 0.3m/sec. The average velocity at 927oC will be

The softness of group I-A metals increases down the group with increasing atomic number.

The pair of compound which cannot exist together in solution is:

Give reasons of the following: Hydrogen peroxide is a better oxidising agent than water.

Write the IUPAC name of : CH3CH2CH = CHCOOH

The vapour pressure of ethanol and methanol are 44.5 and 88.7 mm Hg respectively. An ideal solution is formed at the sam

The position vectors of the points $$A, B, C$$ and $$D$$ are $$3\widehat i - 2\widehat j - \widehat k,\,2\widehat i + 3\

Let $$\overrightarrow a = {a_1}i + {a_2}j + {a_3}k,\,\,\,\overrightarrow b = {b_1}i + {b_2}j + {b_3}k$$ and $$\overrig

From the point A(0, 3) on the circle $${x^2} + 4x + {(y - 3)^2} = 0$$, a chord AB is drawn and extended to a point M suc

The expression $$2\left[ {{{\sin }^6}\left( {{\pi \over 2} + \alpha } \right) + {{\sin }^6}\left( {5\pi - \alpha } \ri

Show that the area of the triangle on the Argand diagram formed by the complex numbers z, iz and z + iz is $${1 \over 2}

If $$S$$ is the set of all real $$x$$ such that $${{2x - 1} \over {2{x^3} + 3{x^2} + x}}$$ is positive, then $$S$$ conta

If $$a,\,b$$ and $$c$$ are distinct positive numbers, then the expression $$\left( {b + c - a} \right)\left( {c + a - b

For $$a \le 0,$$ determine all real roots of the equation $$${x^2} - 2a\left| {x - a} \right| - 3{a^2} = 0$$$

If the quadratic equations $${x^2} + ax + b = 0$$ and $${x^2} + bx + a = 0$$ $$(a \ne b)$$ have a common root, then the

The solution of equation $${\log _7}\,{\log _5}\,\left( {\sqrt {x + 5} + \sqrt x } \right) = 0$$ is ...................

If $${C_r}$$ stands for $${}^n{C_r},$$ then the sum of the series $${{2\left( {{n \over 2}} \right){\mkern 1mu} !{\mke

A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the

The solution of the equation $$lo{g_7}$$ $$lo{g_5}$$ $$\left( {\sqrt {x + 5} + \sqrt x } \right) = 0$$ is .............

The points $$\left( {0,{8 \over 3}} \right),\,\,\left( {1,\,3} \right)$$ and $$\left( {82,\,30} \right)$$ are vertices o

All points lying inside the triangle formed by the points $$\left( {1,\,3} \right),\,\left( {5,\,0} \right)$$ and $$\lef

A vector $$\overline a $$ has components $$2p$$ and $$1$$ with respect to a rectangular cartesian system. This system is

Let $${z_1}$$ and $${z_2}$$ be complex numbers such that $${z_1}$$ $$ \ne $$ $${z_2}$$ and $$\left| {{z_1}} \right| =\

The equation of the line passing through the points of intersection of the circles $$3{x^2} + 3{y^2} - 2x + 12y - 9 = 0$

Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle $$C_1$$ of diameter 6. If the centre of $$C_1$$ lies in the

The derivative of $${\sec ^{ - 1}}\left( {{1 \over {2{x^2} - 1}}} \right)$$ with respect to $$\sqrt {1 - {x^2}} $$ at $$

There exists a triangle $$ABC$$ satisfying the conditions

If in a triangle $$ABC$$, $$\cos A\cos B + \sin A\sin B\sin C = 1,$$ Show that $$a:b:c = 1:1:\sqrt 2 $$

The principal value of $${\sin ^{ - 1}}\left( {\sin {{2\pi } \over 3}} \right)$$ is

Let $$P\left( x \right) = {a_0} + {a_1}{x^2} + {a_2}{x^4} + ...... + {a_n}{x^{2n}}$$ be a polynomial in a real variable

If the line $$ax+by+c=0$$ is a normal to the curve $$xy=1$$, then

Evaluate : $$\int\limits_0^\pi {{{x\,dx} \over {1 + \cos \,\alpha \,\sin x}},0 < \alpha < \pi } $$

If $${{1 + 3p} \over 3},\,\,\,{{1 - p} \over 4}$$ and $$\,{{1 - 2p} \over 2}$$ are the probabilities of three mutually e

A student appears for tests, $$I$$, $$II$$ and $$III$$. The student is successful if he passes either in tests $$I$$ and

The probability that at least one of the events $$A$$ and $$B$$ occurs is $$0.6$$. If $$A$$ and $$B$$ occur simultaneous

A lot contains $$20$$ articles. The probability that the lot contains exactly $$2$$ defective articles is $$0.4$$ and th

The dimensions of the quantities in one ( or more ) of the following pairs are the same. Identify the pair(s)

A reference frame attached to the earth

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limit $$