At T(K), 2 moles of liquid A and 3 moles of liquid B are mixed. The vapour pressure of ideal solution formed is 320 mm Hg. At this stage, one mole of A and one mole of B are added to the solution. The vapour pressure is now measured as 328.6 mm Hg. The vapour pressure (in mm Hg) of A and B are respectively:

The number of ionisable hydrogens present in the product obtained from a reaction of phosphorus trichloride and phosphonic acid is

Formulae for Nessler's reagent is:

In which one of the following pairs the central atoms exhibit \(\mathrm{sp}^2\) hybridization ?

Which of the following statements is false?

Identify the incorrect statement from the following.

Identify the correct statements:
The presence of \(-NO_{2}\) group in benzene ring
A. activates the ring towards electrophilic substitutions.
B. deactivates the ring towards electrophilic substitutions.
C. activates the ring towards nucleophilic substitutions.
D. deactivates the ring towards nucleophilic substitutions.

Two long parallel conductors \(S_{1}\) and \(S_{2}\) are separated by a distance \(10 \,cm\) and carrying currents of \(4\, A\) and \(2 \,A\) respectively. The conductors are placed along \(x\)-axis in \(X - Y\) plane. There is a point \(P\) located between the conductors (as shown in figure). A charge particle of \(3 \pi\) coulomb is passing through the point \(P\) with velocity \(\overrightarrow{ v }=(2 \hat{ i }+3 \hat{ j }) \,m / s\); where \(\hat{i}\) and \(\hat{j} \quad\) represents unit vector along \(x\) and \(y\) axis respectively. The force acting on the charge particle is \(4 \pi \times 10^{-5}(-x \hat{i}+2 \hat{j}) \,N\). The value of \(x\) is

Dimensions of universal gravitational constant \((G)\) in terms of Planck's constant \((h)\), distance \((L)\), mass \((M)\) and time \((T)\) are _______.

In the following reaction
Aldehyde \(+\) Alcohol \(\xrightarrow{{HCl}}\) Acetal
\(HCHO\)            \(^tBuOH\)
\(CH_3CHO\)       \(MeOH\)  The best combination is

A current of \(2\, mA\) was passed through an unknown resistor which dissipated a power of \(4.4\, W\). Dissipated power when an ideal power supply of \(11\, V\) is connected across it is

Let \(\mathrm{f}:[0,3] \rightarrow \mathrm{R}\) be defined by \(f(x)=\min \{x-[x], 1+[x]-x\}\) where \([\mathrm{x}]\) is the greatest integer less than or equal to \(\mathrm{x}\). Let \(\mathrm{P}\) denote the set containing all \(x \in[0,3]\) where \(f\) is discontinuous, and \(Q\) denote the set containing all \(x \in(0,3)\) where \(f\) is not differentiable. Then the sum of number of elements in \(\mathrm{P}\) and \(\mathrm{Q}\) is equal to \(......\)

If \(B\) is a \(3 \times 3\) matrix such that \(B^2 = 0\), then det. \([( I+ B)^{50} -50B]\) is equal to