Incorrect statement for the use of indicators in acid-base titration is :

In a cell, the following reactions take place \(Fe ^{2+} \rightarrow Fe ^{3+} + e ^{-} \quad E _{ Fe ^{3+} / Fe ^{2+}}=0.77 \,V\) \(2 I ^{-} \rightarrow I _{2}+2 e ^{-} \quad E _{ I _{2} / I ^{-}}^{0}=0.54 \,V\) The standard electrode potential for the spontaneous reaction in the cell is \(x \times 10^{-2} \,V 298\) \(K\). The value of \(x\) is .... (Nearest Integer)

The total number of molecules with zero dipole moment among \(\mathrm{CH}_4, \mathrm{BF}_3, \mathrm{H}_2 \mathrm{O}, \mathrm{HF}, \mathrm{NH}_3, \mathrm{CO}_2\) and \(\mathrm{SO}_2\) is _______.

Given below are two statements about X-ray spectra of elements :
Statement (I) : A plot of \(\sqrt{v}\) ( \(v=\) frequency of \(X\)-rays emitted) vs atomic mass is a straight line.
Statement (II) : A plot of \(v(v=\) frequency of \(X\)-rays emitted) vs atomic number is a straight line.
In the light of the above statements, choose the correct answer from the options given below :

Arrange the following in order of magnitude of work done by the system / on the system at constant temperature :
(a) \(\left|\mathrm{w}_{\text {reversible }}\right|\) for expansion in infinite stage.
(b) \(\left|w_{\text {irreversible }}\right|\) for expansion in single stage.
(c) \(\left|w_{\text {reversible }}\right|\) for compression in infinite stage.
(d) \(\left|w_{\text {irreversible }}\right|\) for compression in single stage.
Choose the correct answer from the options given below:

Consider the given figure and choose the correct option :

An organic compound gives \(0.220 g\) of \(CO _2\) and \(0.126 g\) of \(H _2 O\) on complete combustion. If the \(\%\) of carbon is 24 then the \(\%\) hydrogen is \(......\times 10^{-1} \cdot(\) Nearest integer \()\)

When borax is heated with \(CoO\) on a platinum loop, blue coloured bead formed is largely due to

Consider a frame that is made up of two thin massless rods \(AB\) and \(AC\) as shown in the figure. \(A\) vertical force \(\overrightarrow{ P }\) of magnitude \(100 \;N\) is applied at point \(A\) of the frame. Suppose the force is \(\overrightarrow{ P }\) resolved parallel to the arms \(AB\) and \(AC\) of the frame. The magnitude of the resolved component along the arm \(AC\) is \(xN\). The value of \(x\), to the nearest integer, is ............ [Given : \(\sin \left(35^{\circ}\right)=0.573, \cos \left(35^{\circ}\right)=0.819\) \(\left.\sin \left(110^{\circ}\right)=0.939, \cos \left(110^{\circ}\right)=-0.342\right]\)  

The reaction at cathode in the cells commonly used in clocks involves _______.

The number of correct reaction \((s)\) among the following is _______.

A zener diode of power rating \(2\, {W}\) is to be used as a voltage regulator. If the zener diode has a breakdown of \(10 \,{V}\) and it has to regulate voltage fluctuated between \(6\, {V}\) and \(14\, {V}\), the value of \({R}_{{s}}\) for safe operation should be \(....\Omega\)

A ball of mass \(0.5 \mathrm{~kg}\) is attached to a string of length \(50 \mathrm{~cm}\). The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is \(400 \mathrm{~N}\). The maximum possible value of angular velocity of the ball in rad/s is _______.