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The coagulating power of electrolytes having ions $Na_{+},Al_{3+}andBa_{2+}$ for arsenic sulphide sol increases in the order:

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$(lim)_{x0}((1−cos2x)xtan4x3+cosx $ is equal to:

A ray of light along $x+3 y=3 $gets reflected upon reaching x-axis, the equation of the reflected rays is

Distance of the centre of mass of a solid uniform cone from its vertex is $Z_{0}$. If the radius of its base is R and its height is h then $Z_{0}$ is equal to :

The intermolecular interaction that is dependent on the inverse cube of distance between the molecule is :

A uniformly charged solid sphere of radius R has potential $V_{0}$ (measured with respect to $∞$ ) on its surface. For this sphere the equipotential surface with potentials $23V_{0} ,45V_{0} ,43V_{0} and4V_{0} $ have radius \displaystyle{R}_{}

The negation of $s∨(r∧s)$ is equivalent to :

Experimentally it was found that a metal oxide has formula $M_{0.98}O.$ Metal M, is present as $M_{2+}andM_{3+}$ in its oxide. Fraction of the metal which exists as $M_{3+}$ would be:

In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n - 1). If $n>>1,$ the frequency of radiation emitted is proportional to