In which of the following sets, all the given species are isostructural ?

In Dumas' method for estimation of nitrogen 0.4 g of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the compound is what?
(Given : Aqueous tension at \(300 \mathrm{~K}=15 \mathrm{~mm} \mathrm{Hg}\))

Observe structures of the following compounds \([Image]\) The total number of structures/compounds which possess asymmetric carbon atoms is \(....\)

Two statements are given below: Statement \(I:\) The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and above it in the series. Statement \(II :\) The solubility of monocarboxylic acids in water decreases with increase in molar mass. Choose the most appropriate option

For a reaction, given below is the graph of \(\ln k\,v s \frac{1}{ T }\). The activation energy for the reaction is equal to \(......cal\) \(mol ^{-1}\). (Nearest integer). (Given : \(R =2\,cal\,K ^{-1}\,mol ^{-1}\) )

Two pi and half sigma bonds are present in

The pair from the following pairs having both compounds with net non-zero dipole moment is

Consider the following cases of standard enthalpy of reaction \(\left(\Delta \mathrm{H}_{\mathrm{r}}^{\circ}\right.\) in \(\left.\mathrm{kJ} \mathrm{mol}{ }^{-1}\right)\)
\(\mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})+\frac{7}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{CO}_2(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \Delta \mathrm{H}_1^{\circ}=-1550 \)
\( \mathrm{C} \text { (graphite) }+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g}) \quad \Delta \mathrm{H}_2^{\circ}=-393.5 \)
\( \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \quad \Delta \mathrm{H}_3^{\circ}=-286\)
The magnitude of \(\Delta \mathrm{H}_{f \mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})}^{\circ}\) is _______ \(\mathrm{kJ} \mathrm{mol}{ }^{-1}\) (Nearest integer).

Let \(f\left( x \right) = \int\limits_0^x {g\left( t \right)dt} \), where \(g\) is a non zero even function. If \(f(x+5) = g(x)\) , then \(\int\limits_0^x {f\left( t \right)dt} \) equals

A series \(L C R\) circuit has \(L=0.01\,H, R=10\,\Omega\) and \(C =1\,\mu F\) and it is connected to ac voltage of amplitude \(\left( V _{ m }\right) 50\,V\). At frequency \(60 \%\) lower than resonant frequency, the amplitude of current will be approximately \(...............\,mA\)

A capacitor of capacitance \(C=1\, \mu \,{F}\) is suddenly connected to a battery of \(100\, volt\) through a resistance \({R}=100\, \Omega\). The time taken for the capacitor to be charged to get \(50 \,{V}\) is \(....\,\times \,10^{-4}\,s.\) [Take \(\ln 2=0.69]\)

A particle is moving in one dimension (along \(\mathrm{x}\) axis) under the action of a variable force. It's initial position was \(16 \mathrm{~m}\) right of origin. The variation of its position ( \(\mathrm{x}\) ) with time ( \(\mathrm{t})\) is given as \(\mathrm{x}=-3 \mathrm{t}^3+18 \mathrm{t}^2+16 \mathrm{t}\), where \(\mathrm{x}\) is in \(\mathrm{m}\) and \(\mathrm{t}\) is in \(\mathrm{s}\). The velocity of the particle when its acceleration becomes zero is _______ \(\mathrm{m} / \mathrm{s}.\)

Match List -\(I\) with List \(II\): (Image) Choose the correct answer from the options given below :