The number of protons, electrons and neutrons in a species are equal to 17,18 and 18 respectively. Which of the following will be the proper symbol of this species?

Using the standard electrode potentials given below identify the correct statements from the following.
\[
\begin{aligned}
\mathrm{Fe}^{2+}+2 e^{-} \longrightarrow \mathrm{Fe} ; E^{\circ} & =-0.44 \mathrm{~V} \\
\mathrm{Cu}^{2+}+2 e^{-} \longrightarrow \mathrm{Cu} ; E^{\circ} & =+0.34 \mathrm{~V} \\
\mathrm{Ag}^{+}+e^{-} \longrightarrow \mathrm{Ag} ; E^{\circ} & =+0.80 \mathrm{~V}
\end{aligned}
\]
(i) Copper can displace iron from \(\mathrm{FeSO}_4\) solution.
(ii) Iron can displace copper from \(\mathrm{CuSO}_4\) solution.
(iii) Silver can displace copper from \(\mathrm{CuSO}_4\) solution.
(iv) Iron can displace silver from \(\mathrm{AgNO}_3\) solution.

The rms velocity of oxygen molecules of \(27^{\circ} \mathrm{C}\) is around \(800 \mathrm{~m} / \mathrm{s}\). The rms velocity of methane molecule at \(600 \mathrm{~K}\) temperature is around ......

Which one of the following involves decrease in entropy?

A solution containing 7.5 g of urea (molar mass \(=60 \mathrm{~g} \mathrm{~mol}^{-1}\) ) in 1 kg of water freezes at the same temperature as another solution containing 15 g of solute X, in the same amount of water. The molar mass of \(\mathrm{X}\left(\mathrm{g} \mathrm{mol}^{-1}\right)\) is

The pH of a solution of \(\mathrm{H}_2 \mathrm{O}_2\) is 6.0. Some chlorine gas is bubbled into this solution. Which of the following is correct?

Match List I with List II

The locus of the points of intersection of perpendicular normals to the parabola \(y^2=4 a x\) is

\(\bar{a}, \bar{b}\) are position vectors of the points \(A\) and \(B\) respectively, \(C\) and \(D\) are points on the line AB such that \(\overline{\mathrm{AB}}, \overline{\mathrm{AC}}\) and \(\overline{\mathrm{BD}}, \overline{\mathrm{BA}}\) are two pairs of like vectors. If \(\overline{\mathrm{AC}}=3 \overline{\mathrm{AB}}\) and \(\overline{\mathrm{BD}}=2 \overline{\mathrm{BA}}\), then \(\overline{\mathrm{CD}}=\)

Match the following.

A rectangular wire loop of sides \(5 \mathrm{~cm}\) and \(3 \mathrm{~cm}\) with a small cut is moving away from an infinitely long straight wire carrying a current of \(30 \mathrm{~A}\) with a velocity of \(20 \mathrm{~ms}^{-1}\) as shown in the figure. The emf induced across the cut is

If \(\bar{a}, \bar{b}, \bar{c}\) are three unit vectors such that \(|\bar{a}-\bar{b}|^2+|\bar{b}-\bar{c}|^2+|\bar{c}-\bar{a}|^2=15\), then \(|\bar{a}-\bar{b}-\bar{c}|^2-4(\bar{b} \cdot \bar{c})=\)

The lengths of the intercepts made by a circle \(\mathrm{S}\) on \(\mathrm{X}\) and \(\mathrm{Y}\) - axes are \(\frac{2 \sqrt{13}}{3}\) and \(\frac{2 \sqrt{22}}{3}\) respectively. If the radius of the circle \(\mathrm{S}\) is \(\frac{\sqrt{38}}{3}\) and its centre \(\mathrm{C}\) lies in the second quadrant, then \(\mathrm{C}=\)