What is the work function of the metal if the light of wavelength \(4000\, \mathop A\limits^o \) generates photoelectrons of velocity \(6\times10^5\, ms^{-1}\) from it? ............. \(\mathrm{eV}\) (Mass of electron \(= 9\times10^{-31}\, kg\) Velocity of light \(= 3\times10^8\, ms^{-1}\) Planck’s constant \(= 6.626\times10^{-34}\, Js\) Charge of electron \(= 1.6\times10^{-19}\, J\,eV^{-1}\))

\(XeO_4\) molecule is tetrahedral having

Correct statements regarding alkyl halides \((R - X)\) among the following are:
A. Alcohol being less polar solvent as compared to water, alcoholic KOH favours elimination reaction with \(R - X\).
B. Order of reactivity towards \(S_N^1\) mechanism is \(C_6 H_5 - CH_2 - Cl > C_6 H_5 - CHCl - C_6 H_5\).
C. Non substituted aryl halides exhibit properties similar to alkyl halides.
D. Vinyl chloride is an example of haloalkene and allyl chloride is an example of haloalkyne.
E. \(R - Cl\) can be prepared by reacting \(R - OH\) with \(SOCl_2\) but \(Ar - Cl\) cannot be prepared by reacting \(Ar - OH\) with \(SOCl_2\).
Choose the correct answer from the options given below:

Identify the correct IUPAC name of hydrocarbon (\(x\)) containing three primary carbon atoms and with molar mass \(72\text{ g mol}^{-1}\).

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products \(\mathrm{A}\) and \(\mathrm{B}\) along with the evolution of \(\mathrm{CO}_2\). The sum of spin-only magnetic moment values of \(A\) and \(B\) is _______ \(B.M.\) (Nearest integer) (Given atomic number: \(\mathrm{C}: 6, \mathrm{Na}: 11, \mathrm{O}: 8\), \(\mathrm{Fe}: 26, \mathrm{Cr}: 24 \mathrm{~J}\)

The incorrect statement from the following with respect to carbohydrates is:

The volume (in \(mL\) ) of \(0.1\,M\,AgNO _3\) required for complete precipitation of chloride ions present in \(20\,mL\) of \(0.01\,M\) solution of \(\left[ Cr \left( H _2 O \right)_5 Cl \right] Cl _2\) as silver chloride is \(..........\).

In the circuit shown here, the point '\(C\)' is kept connected to point '\(A\)' till the current flowing through the circuit becomes constant. Afterward, suddenly, point '\(C\)' is disconnected from point '\(A\)' and connected to point '\(B\)' at time \(t = 0\). Ratio of the voltage across resistance and the inductor at \(t = L/R\) will be equal to:

A plane containing the point \((3, 2, 0)\) and the line \(\frac{{x - 1}}{1} = \frac{{y - 2}}{5} = \frac{{z - 3}}{4}\) also contains the point

During compression of a spring the work done is \(10\,kJ\) and \(2\,kJ\) escaped to the surroundings as heat. The change in internal energy, \(\Delta U\) (in \(kJ\)) is

Two travelling waves produces a standing wave represented by equation, \({y}=1.0\, {mm} \cos \left(1.57 \,{cm}^{-1}\right) {x} \sin \left(78.5\, {s}^{-1}\right) {t}\) The node closest to the origin in the region \({x}>0\) will be at \({x}=\ldots \ldots \ldots\, {cm}\)

The number of solutions of the equation \(4 \sin ^2 x-4\) \(\cos ^3 \mathrm{x}+9-4 \cos \mathrm{x}=0 ; \mathrm{x} \in[-2 \pi, 2 \pi]\) is :

An ideal battery of \(4\, V\) and resistance \(R\) are connected in series in the primary circuit of a potentiometer of length \(1\, m\) and resistance \(5\,\Omega \) . The value of \(R\), to give a difference of \(5\, mV\) across \(10\, cm\) of potentiometer wire, is: ................ \(\Omega\)