At \(\mathrm{T}(\mathrm{K})\) two liquids A and B form an ideal solution. The vapour pressures of pure liquids A and B at that temperature are 400 and 600 mm Hg respectively. If the mole fraction of liquid \(B\) is 0.3 in the mixture, the mole fractions of \(A\) and \(B\) in vapour phase respectively are

Which of the following does not belong to an ideal solution?

Which of the following statements are not correct?
i. Atomic radius of \(\mathrm{Ga}\) is less than that of \(\mathrm{Al}\)
ii. The order of ionization enthalpy of group 13 elements is \(\mathrm{B}>\mathrm{Al}>\mathrm{Ga}>\mathrm{In}>\mathrm{Tl}\)
iii. Boron trioxide is amphoteric in nature

A gaseous mixture of 3 gases \(A, B\) and \(C\) has a pressure \(10 \mathrm{~atm}\). The total number of moles are 10. If partial pressure of gases \(A\) and \(B\) are \(3 \mathrm{~atm}\) and \(1 \mathrm{~atm}\) respectively and if molar mass of gas \(C\) is 2 . Calculate the weight of \(C\) in the mixture.

Which of the following statement is incorrect?
(i) \(\mathrm{NaCl}\) being an ionic compound is a good conductor of electricity in the solid state.
(ii) In canonical structures there is no difference in the arrangement of atoms.
(iii) Hybrid orbitals form stronger bonds than pure orbitals.
(iv) VSEPR theory can explain the square planar geometry of \(\mathrm{XeF}_4\).

Consider the reactions
L. \(\mathrm{CO}+3 \mathrm{H}_2 \stackrel{\mathrm{A}}{\longrightarrow} \mathrm{CH}_4+\mathrm{H}_2 \mathrm{O}\)
II. \(\mathrm{CO}+2 \mathrm{H}_2 \stackrel{\text { B }}{\longrightarrow} \mathrm{CH}_3 \mathrm{OH}\)
III. \(\mathrm{O}_2+2 \mathrm{H}_2 \stackrel{\mathrm{C}}{\longrightarrow} 2 \mathrm{H}_2 \mathrm{O}\)
The catalysts \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) are respectively

The kinetic energy (in J) of a particle of mass \(4.5 \times 10^{-31} \mathrm{~kg}\) having a wavelength of \(1000 \mathrm{~nm}\) is : \(\left(\mathrm{h}=6.62 \times 10^{-34} \mathrm{~J} \mathrm{~s}\right)\)

The 'dry ice' is

Match the following List I with List II.
\(\begin{array}{|c|c|c|}
\hline & \text { List I } & \text { List II } \\
\hline \text { (A) } & \text { Transverse wave (i) } & \begin{array}{l}
\text {Vibrations parallel to the } \\
\text {direction of propagation }
\end{array} \\
\hline \text { (B) } & \begin{array}{l}
\text {Longitudinal wave }
\end{array} & \begin{array}{l}
\text {Vibrations perpendicular to } \\
\text {the direction of propagation }
\end{array} \\
\hline \text { (C) } & \text { Beats } & \begin{array}{l}
\text {Superposition of waves } \\
\text {travelling in the opposite directions }
\end{array} \\
\hline \text { (D) } & \text { Stationary waves (iv) } & \begin{array}{l}
\text {Superposition of waves } \\
\text {travelling in same direction }
\end{array} \\
\hline
\end{array}\)
The correct answer is

\(A\) and \(B\) are independent events of a random experiment if and only if

The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines \(x=0\) and \(y=0\) is

If \(0 \leq x \leq 3\) and \(0 \leq y \leq 3\), then the number of solutions \((x, y)\) of the equation \(\left(\sqrt{\sin ^2 x-\sin x+\frac{1}{2}}\right) 2^{\sec ^2 y}=1\) is

Which of the following units is useful in relating concentration of solution with its vapour pressure?