Given below are two statements: Statement \((I)\) : Both metal and non-metal exist in \(\mathrm{p}\) and \(d\)-block elements. Statement \((II)\) : Non-metals have higher ionisation enthalpy and higher electronegativity than the metals. In the light of the above statements, choose the most appropriate answer from the option given below:

The photoelectric current from Na (work function, \(\left. w _{0}=2.3\, eV \right)\) is stopped by the output voltage of the cell  \(Pt ( s )\left| H _{2}( g , 1 bar )\right| HCl ( aq \cdot, pH =1)| AgCl ( s )| Ag ( s )\) The \(pH\) of aq. HCl required to stop the photoelectric current from \(K \left( w _{0}=2.25 eV \right),\) all other conditions remaining the same, is..........\(\times 10^{-2}\) (to the nearest integer). Given, \(2.303 \frac{ RT }{ F }=0.06 V ; E _{ AgC1|Ag|C ^{-}}^{0}=0.22\, V\)

Number of compounds with one lone pair of electrons on central atom amongst following is _______.
[\(\mathrm{O}_3, \mathrm{H}_2 \mathrm{O}, \mathrm{SF}_4, \mathrm{ClF}_3, \mathrm{NH}_3, \mathrm{BrF}_5, \mathrm{XeF}_4\)]

Considering that \(\Delta_{0}> P ,\) the magnetic moment (in \(BM\)) of \(\left[ Ru \left( H _{2} O \right)_{6}\right]^{2+}\) would be

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power ' \(n\) ' i.e. \(v^{ n }\) of X-rays emitted is plotted against atomic number ' \(Z\) ', following graph is obtained. The value of ' \(n\) ' is

Given below are two statements Statement \(I\): Aqueous solution of \(K _2 Cr _2 O\), is preferred as a primary standard in volumetric analysis over \(Na _2 Cr _2 O\), aqueous solution Statement \(II:\) \(K _2 Cr _2 O\), has a higher solubility in water than \(Na _2 Cr _2 O _7\) In the light of the above statements, choose the correct answer from the options given below:

In the above reaction. Left hand side and right hand side rings are named as ' \(A\) ' and ' \(B\) ' respectively. They undergo ring expansion. The correct statement for this process is:

For the given cell ; \(Cu ( s )\left| Cu ^{2+}\left( C _{1} M \right) \| Cu ^{2+}\left( C _{2} M \right)\right| Cu ( s )\) change in Gibbs energy \((\Delta G )\) is negative, if :

If \(\smallint f\left( x \right)\;dx = \varphi \left( x \right)\), then \(\smallint {x^5}\;f\left( {{x^3}} \right)\;dx = \)

If \(x\, = \,{\sin ^{ - 1}}(\sin \,10)\) and \(y = \,{\cos ^{ - 1}}\,(\cos \,10)\) , then \(y -x\) is equal to

A ball is dropped from a height of \(20\,m\). If the coefficient of restitution for the collision between ball and floor is \(0.5\), after hitting the floor, the ball rebounds to a height of \(.............m\).

A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ?
(Given : density of water \(=1000 \mathrm{~kg} \mathrm{~m}^{-3}\) )

A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of an uniform rigid rod of 27 cm long. The rod along with masses was placed on a wedge keeping the distance between wedge point and 200 gm weight as 25 cm. Initially the masses were not at balance. A beaker is placed beneath the unknown mass and water is added slowly to it. At given point the masses were in balance and half volume of the unknown mass was inside the water.
(Take the density of unknown mass is more than that of the water, the mass did not absorb water and water density is \(1 \mathrm{gm} / \mathrm{cm}^3\).) The unknown mass is ________ kg.