80 mL of a hydrocarbon on mixing with 264 mL of oxygen in a closed U-tube undergoes complete combustion. The residual gases after cooling to 273 K occupy 224 mL. When the system is treated with KOH solution, the volume decreases to 64 mL. The formula of the hydrocarbon is:

Correct statements for the given reaction are : \(A\). Compound ' \(B\) ' is aromatic \(B\). The completion of above reaction is very slow \(C\). '\(A\)' shows tautomerism \(D\). The bond lengths \(C - C\) in compound \(B\) are found to be same Choose the correct answer from the options given below :

The heat of atomisation of methane and ethane are 'x' kJ \(mol^{-1}\) and 'y' kJ \(mol^{-1}\) respectively. The longest wavelength (\(\lambda\)) of light capable of breaking the C - C bond can be expressed in SI unit as :

The incorrect statement among the following is :-

Decreasing order towards \(S_N 1\) reaction for the following compounds is:

Hemoglobin contains \(0.34 \%\) of iron by mass. The number of \(Fe\) atoms in \(3.3 g\) of hemoglobin is.(Given : Atomic mass of \(Fe\) is \(56\,u , N _{ A }\) in \(6.022\) \(\left.\times 10^{23} mol ^{-1}\right)\)

The total number of unpaired electrons present in the complex \(K _{3}\left[ Cr \right.\) (oxalate) \(\left._{3}\right]\) is ..........

Pressure of an ideal gas, contained in a closed vessel, is increased by \(0.4 \%\) when heated by \(1^{\circ} \mathrm{C}\). Its initial temperature must be :

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked \(A. B, C. D\) and \(E.\) The transitions \(A , B\) and \(C\) respectively represent

The difference of speed of light in the two media \(A\) and \(B\,\left(v_{A}-v_{B}\right)\) is \(2.6 \times 10^{7}\,m / s\). If the refractive index of medium \(B\) is \(1.47\), then the ratio of refractive index of medium \(B\) to medium \(A\) is: (Given : speed of light in vacuum \(\left.c =3 \times 10^{8}\, ms ^{-1}\right)\)

An octahedral complex of \(Co^{3+}\) is diamagnetic. The hybridisation involved in the formation of the complex is

Muon \((\mu ^{-1})\) is negatively charged \(\left( {\left| q \right| = \left| e \right|} \right)\) with a mass \(m_{\mu}\, = 200\,m_e\), where \(m_e\) is the mass of the electron and \(e\) is the electronic charge. If \(\mu ^{-1}\) is bound to a proton to form a hydrogen like atom, identify the correct statements \((A)\) Radius of the muonic orbit is \(200\) times smaller than that of the electron \((B)\) the speed of the \(\mu ^{-1}\) in the \(n^{th}\) orbit is \(\frac{1}{{200}}\) times that of the election in the \(n^{th}\) orbit \((C)\) The Ionization energy of muonic atom is \(200\) times more than that of an hydrogen atom \((D)\) The momentum of the muon in the \(n^{th}\) orbit is \(200\) times more than that of the electron

A body of mass ' \(m\) ' is projected with a speed ' \(u\) ' making an angle of \(45^{\circ}\) with the ground. The angular momentum of the body about the point of projection, at the highest point is expressed as \(\frac{\sqrt{2} \mathrm{mu}^3}{\mathrm{Xg}}\). The value of ' \(\mathrm{X}\) ' is _______.