\(\mathrm{AB}_{3}\) is an interhalogen \(T-\)shaped molecule. The number of lone pairs of electrons on \(\mathrm{A}\) is ...... .

When \(400\, \mathrm{~mL}\) of \(0.2\, \mathrm{M} \,\mathrm{H}_{2} \mathrm{SO}_{4}\) solution is mixed with \(600\, \mathrm{~mL}\) of \(0.1\, \mathrm{M} \,\mathrm{NaOH}\) solution, the increase in temperature of the final solution is \(....\,\times 10^{-2} \,\mathrm{~K}\). (Round off to the Nearest Integer). \(\left[\right.\) Use \(: \mathrm{H}^{+}(\mathrm{aq})+\mathrm{OH}^{-}(\mathrm{aq}) \rightarrow \mathrm{H}_{2} \mathrm{O}: \Delta_{\mathrm{\gamma}} \mathrm{H}=-57.1\, \mathrm{k} \mathrm{J} \,\mathrm{mol}^{-1}\) Specific heat of \(\mathrm{H}_{2} \mathrm{O}=4.18 \mathrm{Jk}^{-} \mathrm{g}^{-}\) density of \(\mathrm{H}_{2} \mathrm{O}=1.0\, \mathrm{~g} \mathrm{~cm}^{-3}\) Assume no change in volume of solution on mixing.]

The difference between \(\Delta H\) and \(\Delta U\) \((\Delta H - \Delta U),\) when the combustion of one mole of heptane \((I)\) is carried out a temperature \(T\) is equal to

Identify the correct statement

Formation of \(\mathrm{Na}_4\left[\mathrm{Fe}(\mathrm{CN})_5 \mathrm{NOS}\right]\), a purple coloured complex formed by addition of sodium nitroprusside in sodium carbonate extract of salt indicates the presence of what?

Match List \(I\) with List \(II\)

List \(-I\)  (Atomic Number)	List \(-II\) (Block of periodic table)
\(A\) \(37\)	\(I\) \(p-\)block
\(B\) \(78\)	\(II\) \(d-\)block
\(C\) \(52\)	\(III\) \(f-\)block
\(D\) \(65\)	\(IV\) \(s-\)block

નીચે આપેલા વિકલ્પોમાંથી યોગ્ય ઉત્તરની પસંદગી કરો.

\(0.3\,g\) of ethane undergoes combustion at \(27^{\circ}\,C\) in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by \(0.5^{\circ}\,C\). The heat evolved during combustion of ethane at constant pressure is \(.......kJ\,mol { }^{-1}\). (Nearest integer) [Given : The heat capacity of the calorimeter system is \(20\, kJ\, K ^{-1}, R =8.3\, JK ^{-1}\, mol ^{-1}\). Assume ideal gas behaviour. Atomic mass of \(C\) and \(H\) are \(12\) and \(1\, g\, mol ^{-1}\) respectively]

For the circuit shown above, equivalent GATE is :

The function \(f : N \to N\) defined by \(f\left( x \right) = x - 5\left[ {\frac{x}{5}} \right]\) , where \(N\) is set of natural numbers and \([x]\) denotes the greatest integer less than or equal to \(x\), is

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is \(12\,cm\). when viewed from the opposite side, the apparent distance of the bubble is observed as \(4\,cm\). If the side of the ice cube is \(24\,cm\), the refractive index of the ice cube is \(.....\).

The distance travelled by an object in time \(t\) is given by \(s =(2 \cdot 5) t ^2\). The instantaneous speed of the object at \(t =5\,s\) will be \(....\,ms ^{-1}\)

The circuit shown below is working as a \(8\; \mathrm{V}\;dc\) regulated voltage source. When \(12 \;\mathrm{V}\) is used as input, the power dissipated (in \(\mathrm{mW}\) ) in each diode is (considering both zener diodes are identical)

The molecule/ion with square pyramidal shape is _______.