Which among the following is a colligative property?

If a suitable photon is employed to locate an electron (mass \(=9.11 \times 10^{-31} \mathrm{~kg}\)) in an atom within a distance of \(10.98 \mathrm{~nm}\), the uncertainty involved in the measurement of its velocity in \(\mathrm{ms}^{-1}\) is

Identify the correct statements from the following
(i) Electromeric effect is a permanent effect.
(ii) Hyper conjugation is a temporary effect.
(iii) Fractional distillation is used to separate two liquids from a mixture if the difference in their boiling points is less.
(iv) Different compounds are adsorbed on an adsorbent different extents.

The anode and cathode used in electrolytic refining of copper respectively are

Assertion (A) At \(300 \mathrm{~K}\), kinetic energy of \(16 \mathrm{~g}\) of methane is equal to the kinetic energy of 32 \(g\) of oxygen.Reason (R) At constant temperature, kinetic energy of one mole of all gases is equal.

Hydrogen peroxide is

The standard molar enthalpy of vaporisation \(\left(\Delta_{\text {vap }} H^{\circ}\right)\) of \(A, B\) and \(C\) liquids is \(23.3,41\) and \(29 \mathrm{~kJ} \mathrm{~mol}^{-1}\) respectively. The correct order of diople-dipole attractive forces in these liquids is

The correct statements from the following are :
i. \(\mathrm{Ca}(\mathrm{OH})_2\) is used in Clark's method of removal of temporary hardness of water
ii. \(100 \mathrm{~mL}\) of \(10 \mathrm{vol} \mathrm{H}_2 \mathrm{O}_2\), on complete decomposition liberates \(1 \mathrm{~L}\) of oxygen at STP.
iii. Urea can be added to the solution of \(\mathrm{H}_2 \mathrm{O}_2\) as stabilizer.

Which of the following ions can reduce dilute acid to give hydrogen gas?

The transformed equation of \(3 x^2-4 x y=r^2\) when the coordinate axes are rotated about the origin through an angle of \(\operatorname{Tan}^{-1}(2)\) in positive direction is

If \(\left(1+2 x+3 x^2\right)^{10}\) \(=a_0+a_1 x+a_2 x^2+\ldots+a_{20} x^{20}\)
then \(\frac{a_2}{a_1}\) is equal to

A sample of a paramagnetic salt containing \(3 \times 10^{24}\) atomic dipoles each of dipole moment \(2 \times 10^{-23} \quad \mathrm{~A}-\mathrm{m}^2\) is subjected to a uniform magnetic field of \(880 \mathrm{mT}\) and cooled to a temperature of \(3.5 \mathrm{~K}\). The degree of magnetic saturation achieved is \(10 \%\). If the sample is subjected to a magnetic field of \(990 \mathrm{mT}\) and cooled to a temperature of \(2.1 \mathrm{~K}\), then the total dipole moment of the sample is

When an inductor of inductance \(\frac{6}{\pi} \mathrm{H}\), a capacitor of capacitance \(\frac{50}{\pi} \mu \mathrm{F}\) and resistor of resistance \(R\) are connected in series with an AC supply of rms voltage \(220 \mathrm{~V}\) and frequency \(50 \mathrm{~Hz}\), the rms current through the circuit is \(440 \mathrm{~mA}\). Match the inductive reactance, \(X_L\) the capacitive reactance, \(X_C\) the resistance \(R\) and the impedance \(Z\) of the circuit given in List-I with the corresponding values given in List-II.
\(\begin{array}{llll} \hline & \text { List- I } & & \text { List- II } \\ \hline \text {(A) } & X_L & \text { (i) } & 200 \Omega \\ \hline \text {(B) } & X_C & \text { (ii) } & 300 \Omega \\ \hline \text {(C) } & R & \text { (iii) } & 500 \Omega \\ \hline \text {(D) } & Z & \text { (iv) } & 600 \Omega \\ \hline \end{array}\)